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  Subjects -> SCIENCES: COMPREHENSIVE WORKS (Total: 374 journals)
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Journal of Mathematical and Fundamental Sciences
Journal Prestige (SJR): 0.173
Citation Impact (citeScore): 1
Number of Followers: 0  

  This is an Open Access Journal Open Access journal
ISSN (Print) 2337-5760
Published by Institut Teknologi Bandung Homepage  [12 journals]
  • Dielectric Meta-lattices with Tunable Reflectivity

    • Authors: Suhandoko Dwi Isro, Soehianie Agoes, Alexander Agustinus Iskandar
      Pages: 1 - 10
      Abstract: We report a study on the reflective performance of a dielectric meta-lattice formed by a one-dimensional periodic arrangement of silicon nanotubes. It was found that switching from transparent state to reflective state can be done by simply varying one optical parameter of the meta-lattice. The meta-lattice was shown to be capable of providing near-zero and near-unity reflectance at any desired wavelength, even in oblique incidence cases. The results are thus very promising for the development of future optical devices.
      PubDate: 2022-04-01
      DOI: 10.5614/j.math.fund.sci.2022.54.1.1
      Issue No: Vol. 54, No. 1 (2022)
       
  • Analytical Solution for Bending and Free Vibrations of an Orthotropic
           Nanoplate based on the New Modified Couple Stress Theory and the
           Third-order Plate Theory

    • Authors: Marina Barulina, Dmitry Kondratov, Sofia Galkina, Olga Markelova
      Pages: 11 - 38
      Abstract: In the present work, the equations of motion of a thin orthotropic nanoplate were obtained based on the new modified couple stress theory and the third-order shear deformation plate theory. The nanoplate was considered as a size-dependent orthotropic plate. The governing equations were derived using the dynamic version of Hamilton’s principle and natural boundary conditions were formulated. An analytical solution in the form of a double Fourier series was obtained for a simply supported rectangular nanoplate. The eigenvalue problem was set and solved. It was analytically shown that the displacements of the median surface points in the plane of the plate do not depend on the material length scale parameters in the same directions; these in-plane directional displacements depend on the material length scale parameter in the out-of-plane direction only. On the other hand, the out-of-plane directional displacement depends on the length scale parameter in the plane directions only. The cross-section rotation angles depend on all length scale parameters. It was shown that the size-dependent parameters only have a noticeable effect on the deformed state of the plate if their order is not less than the order (plate height)-1.
      PubDate: 2022-02-28
      DOI: 10.5614/j.math.fund.sci.2022.54.1.2
      Issue No: Vol. 54, No. 1 (2022)
       
  • Prediction of Carbon Monoxide Concentration with Variation of Support
           Vector Regression Kernel Parameter Value

    • Authors: Halawa Ernwati, Yazid Bindar, Acep Purqon, Wahyu Srigutomo
      Pages: 39 - 53
      Abstract: Human and industrial activities produce air pollutants that can cause a decline in air quality. In urban areas, transportation activities are the main source of air pollution. One of the emitted air pollutants produced by transportation is carbon monoxide (CO). The understanding of CO concentration is crucial since its overabundance beyond a certain limit will have a negative impact on human health and the environment. In this study, the support vector regression (SVR) method was used to predict CO concentration. The purpose of this study was to predict the hourly CO concentration in the Ujung Berung district, Bandung City, West Java, Indonesia with optimal prediction accuracy. An experiment was carried out by modeling the CO concentration with varying kernel parameter values to obtain accurate prediction results. The suitability of the values between error (ɛ), a trade-off constant (C), and variation mismatch (γ) is vital to obtain optimal prediction results. The results showed that the best prediction accuracy value was 97.68% with kernel parameter values ɛ = 0.02, γ = 30, and C = 0.006. These results may lead to proper decision making on environmental issues and can improve air pollution control strategies.
      PubDate: 2022-03-02
      DOI: 10.5614/j.math.fund.sci.2022.54.1.3
      Issue No: Vol. 54, No. 1 (2022)
       
 
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