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  Subjects -> AERONAUTICS AND SPACE FLIGHT (Total: 124 journals)
Showing 1 - 30 of 30 Journals sorted by number of followers
AIAA Journal     Hybrid Journal   (Followers: 1002)
SpaceNews     Free   (Followers: 778)
Journal of Spacecraft and Rockets     Hybrid Journal   (Followers: 702)
Journal of Propulsion and Power     Hybrid Journal   (Followers: 569)
Aviation Week     Full-text available via subscription   (Followers: 410)
Aerospace Science and Technology     Hybrid Journal   (Followers: 305)
Advances in Space Research     Hybrid Journal   (Followers: 295)
IEEE Transactions on Aerospace and Electronic Systems     Hybrid Journal   (Followers: 280)
Journal of Aircraft     Hybrid Journal   (Followers: 261)
IEEE Aerospace and Electronic Systems Magazine     Full-text available via subscription   (Followers: 251)
Control Systems     Hybrid Journal   (Followers: 235)
Acta Astronautica     Hybrid Journal   (Followers: 220)
Gyroscopy and Navigation     Hybrid Journal   (Followers: 177)
Journal of Navigation     Hybrid Journal   (Followers: 176)
Journal of Guidance, Control, and Dynamics     Hybrid Journal   (Followers: 165)
Aircraft Engineering and Aerospace Technology     Hybrid Journal   (Followers: 139)
Space Science International     Open Access   (Followers: 117)
Space Science Reviews     Hybrid Journal   (Followers: 92)
Propulsion and Power Research     Open Access   (Followers: 89)
International Journal of Aerospace Engineering     Open Access   (Followers: 86)
Progress in Aerospace Sciences     Full-text available via subscription   (Followers: 82)
Advances in Aerospace Engineering     Open Access   (Followers: 74)
Journal of Aerospace Engineering     Full-text available via subscription   (Followers: 66)
Aerospace     Open Access   (Followers: 64)
Journal of Aerospace Information Systems     Hybrid Journal   (Followers: 57)
Space Safety Magazine     Free   (Followers: 50)
International Journal of Aerodynamics     Hybrid Journal   (Followers: 46)
IEEE Transactions on Circuits and Systems I: Regular Papers     Hybrid Journal   (Followers: 43)
Space Research Today     Full-text available via subscription   (Followers: 43)
Proceedings of the Institution of Mechanical Engineers Part G: Journal of Aerospace Engineering     Hybrid Journal   (Followers: 42)
International Journal of Aeroacoustics     Hybrid Journal   (Followers: 37)
International Journal of Aerospace Sciences     Open Access   (Followers: 36)
Canadian Aeronautics and Space Journal     Full-text available via subscription   (Followers: 31)
Space Policy     Hybrid Journal   (Followers: 30)
Journal of Space Weather and Space Climate     Open Access   (Followers: 30)
CEAS Aeronautical Journal     Hybrid Journal   (Followers: 30)
Journal of Aerodynamics     Open Access   (Followers: 27)
Journal of Aerospace Information Systems     Hybrid Journal   (Followers: 27)
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 25)
Russian Aeronautics (Iz VUZ)     Hybrid Journal   (Followers: 23)
International Journal of Aerospace Innovations     Full-text available via subscription   (Followers: 23)
Aviation Psychology and Applied Human Factors     Hybrid Journal   (Followers: 23)
Aerospace Medicine and Human Performance     Full-text available via subscription   (Followers: 22)
International Journal of Aerospace Psychology     Hybrid Journal   (Followers: 22)
Journal of Aerospace Engineering & Technology     Full-text available via subscription   (Followers: 22)
Journal of Wind Engineering and Industrial Aerodynamics     Hybrid Journal   (Followers: 21)
Artificial Satellites     Open Access   (Followers: 21)
Fatigue of Aircraft Structures     Open Access   (Followers: 21)
Research & Reviews : Journal of Space Science & Technology     Full-text available via subscription   (Followers: 20)
Frontiers in Aerospace Engineering     Open Access   (Followers: 20)
International Journal of Space Structures     Full-text available via subscription   (Followers: 19)
Nonlinear Dynamics     Hybrid Journal   (Followers: 19)
Chinese Journal of Aeronautics     Open Access   (Followers: 19)
Proceedings of the Human Factors and Ergonomics Society Annual Meeting     Hybrid Journal   (Followers: 16)
International Journal of Satellite Communications Policy and Management     Hybrid Journal   (Followers: 15)
Frontiers in Astronomy and Space Sciences     Open Access   (Followers: 15)
Journal of Aircraft and Spacecraft Technology     Open Access   (Followers: 15)
Advances in Aerospace Science and Technology     Open Access   (Followers: 14)
International Journal of Space Science and Engineering     Hybrid Journal   (Followers: 13)
Aviation     Open Access   (Followers: 12)
International Journal of Micro Air Vehicles     Open Access   (Followers: 11)
Journal of Airline and Airport Management     Open Access   (Followers: 11)
Journal of the Astronautical Sciences     Hybrid Journal   (Followers: 11)
International Journal of Space Technology Management and Innovation     Full-text available via subscription   (Followers: 11)
Population Space and Place     Hybrid Journal   (Followers: 10)
Journal of Aviation Technology and Engineering     Open Access   (Followers: 10)
Journal of Aeronautical Materials     Open Access   (Followers: 10)
Aerospace Systems     Hybrid Journal   (Followers: 10)
International Journal of Crashworthiness     Hybrid Journal   (Followers: 10)
Journal of Aerospace Technology and Management     Open Access   (Followers: 10)
Aeronautical Journal, The     Hybrid Journal   (Followers: 9)
Journal of the American Helicopter Society     Full-text available via subscription   (Followers: 9)
International Journal of Aviation, Aeronautics, and Aerospace     Open Access   (Followers: 9)
International Journal of Aviation Technology, Engineering and Management     Full-text available via subscription   (Followers: 8)
Journal of Space Safety Engineering     Hybrid Journal   (Followers: 8)
International Journal of Applied Geospatial Research     Hybrid Journal   (Followers: 7)
Transportmetrica A : Transport Science     Hybrid Journal   (Followers: 7)
Aerospace technic and technology     Open Access   (Followers: 7)
Aviation in Focus - Journal of Aeronautical Sciences     Open Access   (Followers: 7)
New Space     Hybrid Journal   (Followers: 6)
Space and Polity     Hybrid Journal   (Followers: 6)
Aerotecnica Missili & Spazio : Journal of Aerospace Science, Technologies & Systems     Hybrid Journal   (Followers: 6)
Civil Aviation High Technologies     Open Access   (Followers: 6)
Air Medical Journal     Hybrid Journal   (Followers: 6)
REACH - Reviews in Human Space Exploration     Full-text available via subscription   (Followers: 5)
RocketSTEM     Free   (Followers: 5)
International Journal of Sustainable Aviation     Hybrid Journal   (Followers: 5)
Journal of Astrobiology & Outreach     Open Access   (Followers: 5)
Life Sciences in Space Research     Hybrid Journal   (Followers: 5)
International Journal of Aviation Management     Hybrid Journal   (Followers: 5)
Cosmic Research     Hybrid Journal   (Followers: 5)
Journal of Spatial Science     Hybrid Journal   (Followers: 4)
Journal of KONBiN     Open Access   (Followers: 4)
Astrodynamics     Hybrid Journal   (Followers: 4)
International Journal of Aeronautical and Space Sciences     Hybrid Journal   (Followers: 4)
Unmanned Systems     Hybrid Journal   (Followers: 4)
Transport and Aerospace Engineering     Open Access   (Followers: 4)
Open Aerospace Engineering Journal     Open Access   (Followers: 4)
Problemy Mechatroniki. Uzbrojenie, lotnictwo, inżynieria bezpieczeństwa / Problems of Mechatronics. Armament, Aviation, Safety Engineering     Open Access   (Followers: 3)
Microgravity Science and Technology     Hybrid Journal   (Followers: 3)
Journal of the Australasian Society of Aerospace Medicine     Open Access   (Followers: 3)
npj Microgravity     Open Access   (Followers: 3)
ASTRA Proceedings     Open Access   (Followers: 3)
MAD - Magazine of Aviation Development     Open Access   (Followers: 3)
Ciencia y Poder Aéreo     Open Access   (Followers: 3)
Journal of Aviation/Aerospace Education & Research     Open Access   (Followers: 2)
Advances in Astronautics Science and Technology     Hybrid Journal   (Followers: 2)
Journal of Engineering and Technological Sciences     Open Access   (Followers: 2)
IEEE Journal on Miniaturization for Air and Space Systems     Hybrid Journal   (Followers: 2)
Perspectives of Earth and Space Scientists i     Open Access   (Followers: 1)
Investigación Pecuaria     Open Access   (Followers: 1)
Transactions on Aerospace Research     Open Access   (Followers: 1)
Вісник Національного Авіаційного Університету     Open Access   (Followers: 1)
Science and Education : Scientific Publication of BMSTU     Open Access   (Followers: 1)
Spatial Information Research     Hybrid Journal   (Followers: 1)
Xibei Gongye Daxue Xuebao / Journal of Northwestern Polytechnical University     Open Access  
Mekanika : Jurnal Teknik Mesin i     Open Access  

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Similar Journals
Journal Cover
Nonlinear Dynamics
Journal Prestige (SJR): 1.468
Citation Impact (citeScore): 4
Number of Followers: 19  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1573-269X - ISSN (Online) 0924-090X
Published by Springer-Verlag Homepage  [2469 journals]
  • Theoretical modeling and experimental evaluation of a magnetostrictive
           actuator with radial-nested stacked configuration

    • Free pre-print version: Loading...

      Abstract: Abstract Stacked magnetostrictive actuator (SMA) has the advantages of high energy density and high bandwidth, but the output stroke is relatively small and accompanied by strong hysteresis nonlinearity. Introducing the radial-nested stacked configuration, the stroke of a SMA can be increased without deteriorating its bandwidth. However, this configuration consists of three magnetostrictive rods of different shapes which brings more serious asymmetric hysteresis nonlinearity and poses a great challenge on the theoretical modeling of the actuator. In this paper, a magnetic equivalent circuit (MEC) model is established to describe the magnetic characteristic of radial-nested stack. Then, a nonlinear dynamic magnetization model is proposed with the combination of the MEC model and the Jiles-Atherton model. Finally, by considering the multi-degree-of-freedom (MDOF) mechanical dynamic system, a multiphysics comprehensive dynamic (MCD) model is established. What’s more, a prototype of radial-nested stacked Terfenol-D actuator (RSTA) is fabricated, a series of simulations and experiments are conducted to evaluate the proposed models. The parameters that cannot be calculated or measured in the model are identified by employing the multi-island genetic algorithm. Results show that: (a) the MEC model can accurately calculate the magnetic distribution of the RSTA with an error less than 0.2% compared with a finite element model; (b) the MCD model can accurately describe the RSTA output hysteresis nonlinearity under different operating frequencies and amplitudes with a root-mean-square (RMS) error less than 1.1 \(\upmu \hbox {m}\) (1.76%).
      PubDate: 2022-05-13
       
  • Experimental verification of dynamic behavior for multi-link press
           mechanism with 2D revolute joint considering dry friction clearances and
           lubricated clearances

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      Abstract: Abstract The existence of clearance joints seriously affect the kinematic accuracy and service life of precision mechanisms. So as to ensure the kinematic accuracy reliability of mechanism, it is imperative to accurately predict the dynamic behavior of precision mechanism considering clearances. At present, the studies often focus on theoretical analysis and simulation verification of mechanism with clearances, while the studies verified by experiment are relatively few and often focus on simple mechanism. Moreover, most of studies centered on simple mechanism with dry friction clearance, while the studies on complex mechanism with multiple lubricated clearances are less. In this paper, the impact of multiple clearances on dynamic behavior of 2-DOF 9-bar precision press mechanism is analyzed. Firstly, the mathematical models of dry friction clearance and lubricated clearance are established and embedded into the Lagrange dynamic equation, respectively. Then, the impact of clearance values, the material of clearance-shaft and crank driving speeds on dynamic behavior of mechanism are researched. Finally, the simplified experimental platform of 2-DOF 9-bar press mechanism considering 2D revolute joint clearances is established, and the correctness of the theoretical model is proved by experimental verification. This study not only offers theoretical guidance for the layout and life prediction of multi-link press mechanism, but also provides reference for the dynamic behavior analysis and prediction of other mechanisms.
      PubDate: 2022-05-13
       
  • On occurrence of mixed-torus bursting oscillations induced by
           non-smoothness

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      Abstract: Abstract The paper devotes to the slow–fast behaviors of a higher-dimensional non-smooth system with the coupling of two scales. Some novel bursting attractors and interesting phenomena are presented, especially the so-called mixed-torus bursting oscillations, in which the trajectory moves along different tori in turn, though the bursting attractor still behaves in quasi-periodic form. Based on a 4-D hyper-chaotic model with two scrolls, a modified non-smooth slow–fast version is established. Upon the smooth and non-smooth bifurcations analysis, the coexisted attractors with the variation of the slow-varying parameter are derived. With the increase in the exciting amplitude, bursting oscillations may change from periodic to quasi-periodic attractor, the mechanism of which is obtained by employing the overlap of the transformed phase portrait and coexisted attractors as well as the bifurcations. Sliding along the boundary on the trajectory can be observed on the bursting attractor, the mechanism of which can be accounted for by employing the non-smooth theory or by the in-turn influence of two pseudo-attractors in different regions. Super-cone defined by an unstable focus may lead to the period-adding or period-decreasing phenomena in the spiking oscillations, while fold limit cycle bifurcation may result in the dramatical change of the spiking amplitude. Different limit cycles may involve the full vector field, resulting in the so-called mixed-torus bursting oscillations, in which the quiescent states seem to be pivots of the oscillations.
      PubDate: 2022-05-13
       
  • Dynamic response and chaotic behavior of a controllable flexible robot

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      Abstract: Abstract Flexible robots with controllable mechanisms have advantages over common tandem robots in vibration magnitude, residual vibration time, working speed, and efficiency. However, abnormal vibration can sometimes occur, affecting their operation. Traditionally only simple mechanisms are considered in studying abnormal vibration, omitting reference to important chaotic phenomena caused by the flexibility of the mechanism rod. In order to better understand the causes of abnormal vibration, our work takes a controllable flexible robot with a complex series-parallel mechanism as a research object and uses a combination of Lagrangian and finite element methods to establish its nonlinear elastic dynamics. The effectiveness of the model is verified by comparing the calculated frequency with the frequency measured in a test. The time-domain diagram, phase diagram, Poincaré map, maximum Lyapunov exponent, and bifurcation diagram of the elastic motion of the robot wrist are studied, and the chaotic phenomena in the system are identified through the phase diagram, Poincaré map, the maximum Lyapunov exponent, and the bifurcation diagram. The relationship between the parameters of the robot motion and the maximum Lyapunov exponent is discussed, including trajectory angular speed and radius. The results show that chaotic behavior exists in the controllable flexible robot and that trajectory angular speed and radius all have an influence on the chaotic motion. Our work provides a theoretical basis for further research on the control and optimal design of flexible robot mechanisms.
      PubDate: 2022-05-13
       
  • Optimal parameter selection for constraint-following control for
           mechanical systems based on Stackelberg game

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      Abstract: Abstract This paper proposes an optimal parameter design of control scheme for mechanical systems by adopting the Stackelberg game theory. The goal of the control is to drive the mechanical system to follow the prescribed constraints. The system uncertainty is (possibly fast) time-varying and bounded. A \(\beta \) -measure is defined to gauge the performance. A robust control is proposed to render the \(\beta \) -measure uniformly ultimately bounded. This control scheme is based on feasible design parameters (i.e., parameters within prescribed range), and the choices of these parameters may not be unique. For optimal (unique) parameter selection, a Stackelberg game is formulated. By taking the control design parameters as the players, for each player, a cost function is built with the consideration of the performance cost, the time cost and the control cost. To follow, the Stackelberg strategy is then carried out via backward induction, which results in the choice of the optimal parameters.
      PubDate: 2022-05-13
       
  • Experiment research and dynamic behavior analysis of multi-link mechanism
           with wearing clearance joint

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      Abstract: Abstract Irregular wear is one of the main reasons leading to the failure of mechanical equipment and mechanical parts. The coupling between irregular wear and system dynamic behavior has an important influence on the performance of the mechanism. A modeling and calculation method for planar multi-link mechanism considering multiple wearing clearances is proposed. Taking 2 DOFs nine bars mechanism as research object, iterative wear prediction process based on Archard model is applied to calculate wear characteristics, wear prediction process is combined with multi-body system dynamics to obtain dynamic model considering wearing clearance of revolute pair, and its dynamic response is analyzed. The nonlinear characteristics are analyzed qualitatively and quantitatively by phase diagram, Poincare map, and Largest Lyapunov exponent. At the same time, experimental platform of 2 DOFs nine bars mechanism is built to analyze influence of wearing clearance on response of mechanism. Correctness of theoretical model is verified by experimental results.
      PubDate: 2022-05-12
       
  • Robust output feedback control of time-delay nonlinear systems with
           dead-zone input and application to chemical reactor system

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      Abstract: Abstract This paper investigates the problem of robust output feedback control for a class of time-delay nonlinear systems with unknown continuous time varying output function. Unlike the previous studies, the considered systems allow the presence of dead-zone nonlinearities, continuous disturbances and time-varying delays. A new robust control scheme is constructed by introducing coordinate transformations that draws the dead-zone characteristic as well as modifying a double-domination method cooperating with integral Lyapunov functions. A combined system is established to perform a one-step mechanism for constructing a continuous controller which guarantees that all closed-loop signals are ultimately uniform bounded. The proposed scheme is finally applied to a two-stage chemical reactor system with dead-zone input and external disturbances to illustrate the effectiveness and performances.
      PubDate: 2022-05-12
       
  • Analysis of characteristics of rogue waves for higher-order equations

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      Abstract: Abstract For various nonlinear physical equations, we describe the features of their rogue waves using simplified forms of their intensities and also by finding ‘volumes’. We present some analysis relating to other higher-order equations, that can be relevant to studies of optical fibres, ocean waves and other aspects of physics. These are related to several low-order KdV and mKdV equations. We investigate details of formations consisting of a central rogue wave with 1 or more solitons emerging from it. We thus classify solutions into rogue waves, semi-rogue waves and formations consisting of a ‘central rogue with soliton tails’.
      PubDate: 2022-05-12
       
  • Periodic-background solutions for the Yajima–Oikawa
           long-wave–short-wave equation

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      Abstract: Abstract A systematic approach for constructing exact periodic-background solutions of integrable nonlinear evolution equations associated with \(3\times 3\) spectral problems is developed by combining the algebro-geometric method with the Darboux transformation. As an application, periodic-background rogue-wave solutions and periodic-background breather solutions for the Yajima–Oikawa long-wave–short-wave equation are obtained. The relation between the periodic-background solitons and periodic-background breathers is discussed. In addition, the interaction dynamics of various periodic-background solutions is analyzed by choosing appropriate parameters.
      PubDate: 2022-05-12
       
  • Vector soliton pairs for a coupled nonautonomous NLS model with partially
           nonlocal coupled nonlinearities under the external potentials

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      Abstract: Abstract A (3+1)-dimensional coupled nonautonomous NLS model with partially nonlocal coupled nonlinearities under the linear and harmonic potentials becomes the center of attention. Two kinds of the reductions from the nonautonomous coupled NLS model to autonomous (2+1)-dimensional and (1+1)-dimensional NLS models are erected, respectively, and the comparison of two reductions is performed and analyzed. Based on solutions of autonomous (2+1)-dimensional and (1+1)-dimensional NLS models, via the Hirota and Darboux methods, two kinds of vector nonautonomous soliton pairs with localized and non-localized structures in three-dimensional space are constructed. Evolutional behaviors of these vector solitons are explored in the periodical system.
      PubDate: 2022-05-11
       
  • Nonlinear vibrations of a sandwich piezo-beam system under piezoelectric
           actuation

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      Abstract: Abstract The paper describes the use of active structures technology for deformation and nonlinear free vibrations control of a simply supported curved beam with upper and lower surface-bonded piezoelectric layers, when the curvature is a result of the electric field application. Each of the active layers behaves as a single actuator, but simultaneously the whole system may be treated as a piezoelectric composite bender. Controlled application of the voltage across piezoelectric layers leads to elongation of one layer and to shortening of another one, which results in the beam deflection. Both the Euler–Bernoulli and von Karman moderately large deformation theories are the basis for derivation of the nonlinear equations of motion. Approximate analytical solutions are found by using the Lindstedt–Poincaré method which belongs to perturbation techniques. The method makes possible to decompose the governing equations into a pair of differential equations for the static deflection and a set of differential equations for the transversal vibration of the beam. The static response of the system under the electric field is investigated initially. Then, the free vibrations of such deformed sandwich beams are studied to prove that statically pre-stressed beams have higher natural frequencies in regard to the straight ones and that this effect is stronger for the lower eigenfrequencies. The numerical analysis provides also a spectrum of the amplitude-dependent nonlinear frequencies and mode shapes for different geometrical configurations. It is demonstrated that the amplitude–frequency relation, which is of the hardening type for straight beams, may change from hard to soft for deformed beams, as it happens for the symmetric vibration modes. The hardening-type nonlinear behaviour is exhibited for the antisymmetric vibration modes, independently from the system stiffness and dimensions.
      PubDate: 2022-05-11
       
  • Data-driven-based event-triggered optimal control of unknown nonlinear
           systems with input constraints

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      Abstract: Abstract This paper is concerned with event-triggered control problem for unknown nonlinear systems with input constraints. By introducing a nominal system and a discounted cost function, the original event-triggered control problem is equivalently transformed into an event-triggered optimal control problem. Then, a data-driven model is designed by recurrent neural networks to approximate the unknown dynamics of the considered system to make the obtained results have wide applicability. After obtaining the system dynamics, a single critic neural network is constructed to acquire an approximate solution of the Hamilton–Jacobi–Bellman equation with multiple nonlinear terms. To achieve the purpose of relaxing the persistence of excitation condition, the update law of the critic NN is designed by using the current data and historical data. By resorting to the Lyapunov stability theory, the proposed event-triggered optimal controller can ensure that the state variables and the critic NN weight errors are bounded. Finally, the effectiveness of the developed control scheme is demonstrated by two simulation examples.
      PubDate: 2022-05-10
       
  • Optimal trajectory planning strategy for underactuated overhead crane with
           pendulum-sloshing dynamics and full-state constraints

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      Abstract: Abstract Complex pendulum-sloshing dynamics induced with specific payloads such as the suspension liquid container increase incredibly the difficulty of the anti-swing control for overhead cranes. Especially, it would be a greater challenge for anti-swing control with simultaneously considering the transportation time and the energy consumption while guaranteeing actuated/unactuated states constraints. In this paper, an optimal trajectory planning strategy for overhead crane with pendulum-sloshing dynamics is proposed by taking transportation time, the energy consumption and full-state constraints into account. First, the dynamic model of overhead crane system with pendulum-sloshing effects is established. Then, based on the formulation as a quasi-convex optimization, three optimal trajectory planning strategies including minimum-time trajectory planning (MTTP), minimum-energy trajectory planning (METP) and time-energy optimal trajectory planning (TEOTP) are proposed to suppress the container swing and liquid sloshing simultaneously. In the three trajectory planners, quasi-convex optimization theory is used to guarantee actuated states (trolley acceleration and velocity) and unactuated states (container swing angle and liquid level sloshing displacement) constraints to be satisfied. Finally, numerical simulation and real experiments results prove that the control performance of the proposed optimal trajectory planning strategy is better than existing methods.
      PubDate: 2022-05-10
       
  • A 2-D conditional symmetric hyperchaotic map with complete control

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      Abstract: Abstract By introducing an absolute value function for polarity balance, a unique hyperchaotic map with complete control and conditional symmetry is designed. Firstly, coexisting conditional symmetric bifurcations and hyperchaotic phase trajectories are found in the map. Then, two independent parameters are proven to provide a direct knob for partial and total amplitude control. Finally, a STM32-based hardware experiment is carried out to verify the theoretical finding.
      PubDate: 2022-05-10
       
  • Correction to: Research on nonlinear coupled tracking controller for
           double pendulum gantry cranes with load hoisting/lowering

    • Free pre-print version: Loading...

      PubDate: 2022-05-09
       
  • Correction to: Slow–fast analysis of a modified Leslie–Gower model
           with Holling type I functional response

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      Abstract: Abstract The article was published with errors in equations (35), (36) and (37).
      PubDate: 2022-05-09
       
  • A new way to compute the Lyapunov characteristic exponents for non-smooth
           and discontinues dynamical systems

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      Abstract: Abstract One of the most important problems of nonlinear dynamics is related to the development of methods concerning the identification of the dynamical modes of the corresponding systems. The classical method is related to the calculation of the Lyapunov characteristic exponents (LCEs). Usually, to implement the classical algorithms for the LCEs calculation, the smoothness of the right-hand sides of the corresponding equations is required. In this work, we propose a new algorithm for the LCEs computation in systems with strong nonlinearities (these nonlinearities cannot be linearized) including the hysteresis. This algorithm uses the values of the Jacobi matrix in the vicinity of singularities of the right-hand sides of the corresponding equations. The proposed modification of the algorithm is also can be used for systems containing such design hysteresis nonlinearity as the Preisach operator. (Thus, this modification can be used for all members of the hysteresis family.) Moreover, the proposed algorithm can be successfully applied to the well-known chaotic systems with smooth nonlinearities. Examples of dynamical systems with hysteresis nonlinearities, such as the Lorentz system with hysteresis friction and the van der Pol oscillator with hysteresis block, are considered. These examples illustrate the efficiency of the proposed algorithm.
      PubDate: 2022-05-09
       
  • The peridynamic differential operator for solving time-fractional partial
           differential equations

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      Abstract: Abstract In this paper, the numerical solution of time-fractional convection diffusion equations (TF-CDEs) is considered as a generalization of classical ones, nonexponential relaxation patterns and anomalous diffusion. A nonlocal model further is developed toward such problems via peridynamic differential operator, which may be utilized to derive all partial derivatives of higher orders concurrently in a simple and effective manner, with no need for shape functions. To generate the final discrete system of equations, only functionals based on nonlocal operators are required, greatly simplifying the implementation. The main contribution of this work is three-fold: (1) a finite difference/nonlocal operator method is contracted for the discretization of the TF-CDEs; (2) a detailed analysis of the proposed scheme is given by providing some stability and error estimates, and the method convergence is established; and eventually, (3) numerical experiments are presented to substantiate the theoretical analysis and demonstrate the computational efficiency of the schemes.
      PubDate: 2022-05-09
       
  • Nonaxisymmetric magnetoelastic coupling natural vibration analysis of
           annular plates in an induced nonuniform magnetic field

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      Abstract: Abstract The nonaxisymmetric magnetoelastic nonlinear coupling free vibration study is performed for a conductive thin annular plate in the nonuniform toroidal magnetic field generated by a long straight current carrying wire in this article. From the electromagnetic theory, expressions for the magnetic field, electromagnetic force and torque acting on the plate are deduced. According to Hamilton principle, nonaxisymmetric magnetoelastic nonlinear vibration equation is derived. The displacement functions for plate under three different boundary conditions are solved, which is combined with Galerkin integral method for derivation of nondimensional coupling nonlinear differential equations. The method of multiple scales is introduced to solve the coupling equations and achieve the second-approximation analytical solution, and then, expressions for the first three mode nondimensional natural frequencies of plate are obtained. In numerical examples, diagrams of electromagnetic characteristics and the first three frequencies under magnetic field and modal coupling effect are presented, which shows the influence of different parameters, e.g., current intensity, plate size and time on natural frequencies and electromagnetic forces. The variation of system singularity stability is discussed, and the obtained analytical results are also validated. The results indicate that current, plate size and time parameters have obvious influence on natural frequencies, which also shows quite different variations under different boundaries. Additionally, initial conditions have significant effects on natural frequencies, which becomes more complicated under modal coupling effect. In nonaxisymmetric vibration case, electromagnetic forces show complicated changing rules along radial and circumferential directions. Furthermore, system equilibrium point will be changed by the induced nonuniform magnetic field.
      PubDate: 2022-05-08
       
  • Low-frequency multi-direction vibration isolation via a new arrangement of
           the X-shaped linkage mechanism

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      Abstract: Abstract Most existing quasi-zero stiffness (QZS) isolators with excellent vibration isolation performance in the low-frequency range are designed to attenuate vibration transmission only in one direction, but vibration suppression in multi-direction is more useful and expected in engineering practice. Hence, a novel 3-degree-of-freedom (3-DOF) passive vibration isolation unit with enhanced QZS effect in a large stroke is designed based on the X-shaped mechanism. The 3-DOF vibration isolation unit exhibits beneficial nonlinear stiffness and damping properties, and it can provide excellent ultra-low-frequency vibration isolation performance in three directions simultaneously. Combining two such isolation units can of course lead to more DOF vibration isolation. The effects of several design parameters such as spring stiffness, lengths of the rods, static equilibrium positions, spring connection parameters, damping coefficients and excitation amplitudes on vibration isolation performance are analyzed in detail. Some comparisons of the static characteristics and vibration isolation performance with a spring–mass–damper (SMD) isolator and an existing typical QZS isolator are carried out. The results reveal that (a) the proposed 3-DOF vibration isolation unit can have much enhanced QZS range with larger loading capacity in the vertical and horizontal directions and HSLD stiffness in the rotational direction; (b) when the excitation amplitudes are large, the novel vibration isolation unit exhibits beneficial nonlinear properties in all three directions without jumping and bifurcation phenomena; (c) compared with the typical QZS isolator, the X-shaped mechanism enables the proposed isolation unit to possess excellent vibration isolation performance in three directions simultaneously with guaranteed stable equilibrium; (d) the new 3-DOF isolator includes only 4 bars in the entire mechanism due to the special and totally new arrangement of the X-shaped mechanism without any guiding sliders, leading to more compact designs of multi-DOF vibration isolation systems of high performance, definitely demanded by engineering practices.
      PubDate: 2022-05-08
       
 
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