Fei Xie

TL;DR: In this article, the authors illustrate the vibration characteristics of functionally graded porous (FGP) shallow shells with general boundary conditions for the first time by using the virtual spring technique, where the imposing procedures of the boundary conditions are simplified so that a certain kind of restraints can be easily achieved by setting different stiffness of the springs.

TL;DR: In this article, a semi-analytical method is proposed to obtain the general boundary conditions including the simply classical boundary conditions, elastic boundary conditions and their combinatorial boundary constraints, and the natural frequencies as well as the associated mode shapes of FGP doubly-curved panels and shells of revolution are achieved by replacing the modified Fourier series into the above energy expression and using the variational operation for unknown expansion coefficients.

TL;DR: In this article, a novel 3D exact solution is performed for vibration analysis of thick functionally graded porous rectangular plates subject to arbitrary boundary conditions, which is based on the three-dimensional elastic theory.

TL;DR: In this paper, the dynamics analysis of FGP circular, annular and sector plates with general elastic restraints is performed in a unified form for the first time, and the overall theoretical model is based on the first order shear deformation theory.

TL;DR: In this article, a unified analytical model is established to study the vibration behavior of moderately thick functionally graded porous deep curved and straight beam with general boundary conditions, and the theoretical solution model is obtained by means of modified series solution, which core soul is using the modified Fourier series including two auxiliary terms to expand the admissible function.