Thin rectangular plates

This paper proposes a method to solve for closed-form analytical solutions of the free vibration problems of orthotropic rectangular thin plates with arbitrary homogeneous boundary conditions. This proposed method is called the extended separation-of-variable method, in which the mode functions are in a separation-of-variable form, and the frequencies in two spatial directions are mathematically independent of each other.

14p guernsey 28-12-2021 14 0   Download

Dynamic instability of thin rectangular plates subjected to uniform in-plane harmonic compressive load applied along two opposite edges are investigated in this paper. The dynamic stiffness method (DSM), as a consequence the dynamic stiffness matrices, is used to analyze the free vibration, the static stability, and dynamic instability of thin plates under different boundary conditions.

11p vijakarta2711 09-06-2020 15 3   Download

In this paper, the theory of the elastoplastic process is applied to derive the governing equations of stability problems of thin rectangular plates subjected to complex loading processes. The solution presented in the paper belongs to the two following cases of boundary condition.

11p chikychiky 01-11-2018 26 0   Download

Parametric oscillation of the rectangular thin plate on the elastic foundation with two coefficients1 when making mention of the creep of material, has been investigated in earlier publications (see for example [2, 3]). However forced oscillation of the rectangular thin plate, to the author's knowledge, has not been hitherto examined.

7p bautroibinhyen211 28-10-2018 39 1   Download

This paper deals with investigation of the elastoplastic stability of thin rectangular plates. The plate considered herein is subjected to the biaxial compressive forces which are assumed to be linearly distributed along every its edge.

11p chikychiky 26-10-2018 28 0   Download

This paper analyzes the stability of the rectangular thin plate with sinusoidal changes in the plate thickness combined with initial curvature based on the large deflection theory. The buckling load for simply supported plates is defined using the energy method. The influence of the thickness variation parameter and the initial curvature parameter on the critical loads is investigated .

8p thienthanquydu 21-10-2018 36 0   Download