In the present research, a unified formulation for free vibration analysis of the bidirectional functionally graded conical and cylindrical shells and annular plates on elastic foundations is developed. To cover more individual cases and optimally tailored material properties, the material properties are assumed to vary in both the meridian/radial and transverse directions. The shell/plate is a...

The design, construction and operation of buildings under conditions technogenic impact caused by mining represents a system complex knowledge-intensive tasks. As part research in this direction, it is required to solve the problems mathematical modeling interaction between structure soil mass zone undermined territories, as well verifying numerical solutions comparison with data monitoring str...

the available shear correction factors have mainly been developed for homogeneous isotropic plates and/or assuming that no shear tractions are imposed on the top and bottom surfaces of the plate. in the present research, a more general case of a circular functionally graded plate subjected to non-uniform normal and shear tractions at the top and bottom surfaces is considered. these non-uniform ...

In this paper, the quality factor of thermo-elastic damping in an electro-statically deflected micro-beam resonator has been investigated. The thermo-elastic coupled equations for the deflected micro-beam have been derived using variational and Hamilton principles based on modified couple stress theory and hyperbolic heat conduction model. The thermo-elastic damping has been obtained discretizi...

Given an instance I of a minimization problem with optimum opt, fixed parameter ρ(k) inapproximability is to find a k ≥ opt and prove that it is not possible to compute a solution of value ρ(k) · k. In this paper all proofs are under the eth. In this paper all ratios are larger than 1. An (r, t)-FPT-hardness (in opt) for two functions r, t, is showing that the problem admits no r(opt) approxima...

Based on the differential transformation method, a semi-analytical solution is developed for free vibration and modal stress analyses of variable thickness two-directional functionally graded circular plates with restrained edges, resting on elastic foundations. Variations of the material and geometry parameters are monitored by five distinct exponential functions. The presented non-dimensional...

Abstract The paper uses the modified couple stress theory to study free vibration model of bimodular microbeams with an elastic foundation. Microbeams behave differently in tension and compression zones due property, neutral layer depends on sign bending moment. By figuring out effective strain formula applying Hamilton’s principle, governing equation for can then be derived. takes into account...

The buckling behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates resting on Winkler-Pasternak elastic foundations under in-plane loads for various temperatures is investigated using element-free Galerkin (EFG) method based on first-order shear deformation theory (FSDT). The modified shear correction factor is used based on energy equivalence principle. Carbon ...

Solving boundary value problems BVPs for the fourth-order differential equations by the reduction of them to BVPs for the second-order equations with the aim to use the achievements for the latter ones attracts attention from many researchers. In this paper, using the technique developed by ourselves in recent works, we construct iterative method for the second BVP for biharmonic-type equation,...