In this paper, the response to moving concentrated masses of highly prestressed orthotropic rectangular plate resting on two parameter elastic sub-grades is investigated. equation governing motion under action travelling masses, it observed that a small multiplies highest order operator which peculiar singular perturbation problems. From literatures, problems in derivatives differential do not ...

The scale effect of carbon nanotubes (CNTs) in the macro CNT-reinforced composites (CNTRCs) is analyzed, and free vibration characteristics a composite beam resting on viscoelastic foundation were studied. By combining nonlocal theory with Eshelby–Mori–Tanaka (EMT) method, EMT constitutive equation considering CNTs CNTRCs proposed. Based Timoshenko theory, governing equations corresponding boun...

This article focuses on studying the nonlinear vibration of functionally graded (FG) curved nanobeams resting Pasternak-Winkler elastic foundation based nonlocal strain gradient theory along with first-order shear deformation beam (FSDBT) considering von-Kármán hypothesis. The Hamilton principle is applied to extract three motion equations and Galerkin method (GM) utilized spatially reduce diff...

Free vibration analysis is carried out on axially inhomogeneous beams resting Winkler-Pasternak elastic foundation. The material properties of the beam like Young’s modulus, modulus rigidity and density are considered to be varying along length direction following constant, linear exponential models. subjected different combinations clamped simply supported boundary conditions. formulation base...

This paper describes an analytical approach to conduct analysis of beam-column elements with generalized end-boundary conditions on a homogeneous or non-homogeneous Pasternak elastic foundation. The mathematical formulation utilized herein is that presented by the senior author in recent work. differential equation (DE) governing behavior element solved using transformation method (DTM). DTM of...

Abstract. In the present work, a two-dimensional model based on higher order Layer-Wise (LW) approach is presented for static and dynamic analysis of doubly-curved anisotropic shell structures. The Equivalent Single Layer (ESL) methodology also obtained as particular case LW. Each lamina stacking sequence modelled an continuum. fundamental equations account both surface concentrated loads, well...

Abstract In this article, the nonlinear dynamic responses of sandwich functionally graded (FG) porous cylindrical shell embedded in elastic media are investigated. The studied here consists three layers, which outer and inner skins made solid metal, while core is FG metal foam. Partial differential equations derived by utilizing improved Donnell’s theory Hamilton’s principle. Afterwards, Galerk...