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...

In this paper ,the general solution of steady-state one dimensional asymmetric thermal stresses and electrical and mechanical displacements of a hollow cylinder made of functionally graded material and piezoelectric layers is developed .The material properties ,except the Poisson's ration, are assumed to depend on the variable radius and they are expressed as power functions of radius. The temp...

security as a basic need for the members of society is in mutual relation to economic, social and cultural factors. today, this is of such importance in the progress of every society that it is considered as the prerequisite to any kind of development. social security has been defined as a complex – emotional – concept which is essential for protecting social groups and giving them the opportun...

In this paper, an analytical method is developed to obtain the solution for the one dimensional transient thermal and mechanical stresses in a hollow cylinder made of functionally graded material (FGM) and piezoelectric layers. The FGM properties are assumed to depend on the variable r and they are expressed as power functions of r but the Poisson’s ratio is assumed to be constant. Transient te...

in this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. the effect of coriolis and damping forces on the o...

Abstract: As a unified modeling simulation language for complex multi-domain physical system, now Modelica is getting more and more attention, and its compiler and solver method emerges in endlessly. However, up to now little solver method consider the efficiency of repeatedly simulation after modifying variable parameters. Here, a method focuses on improving the efficiency of repeatedly simula...