Belounar, Abderahim Benmebarek, Sadok Houhou, Mohamed Nabil Belounar, Lamine
Published in
International Journal of Advanced Structural Engineering
A quadrilateral and a triangular element based on the strain approach are developed for static, free vibration and buckling analyses of Reissner–Mindlin plates. The four-node triangular element SBTP4 has the three essential external degrees of freedom at each of the three corner nodes and at a mid-side node; whereas the quadrilateral element SBQP h...
Torkan, E. Pirmoradian, M. Hashemian, M.
Published in
Acta Mechanica Sinica
Parametric resonance is one of the most important issues in the study of dynamical behavior of structures. In this paper, dynamic instability of a moderately thick rectangular plate on an elastic foundation is investigated in the case of parametric and external resonances due to periodic passage of moving masses. The governing coupled partial diffe...
Zhang, Xingwu He, Yanfei Gao, Robert X. Geng, Jia Chen, Xuefeng Xiang, Jiawei
Published in
Acta Mechanica Solida Sinica
Based on B-spline wavelet on the interval (BSWI) and the multivariable generalized variational principle, the multivariable wavelet finite element for flat shell is constructed by combining the elastic plate element and the Mindlin plate element together. First, the elastic plate element formulation is derived from the generalized potential energy ...
Kolahchi, R. Esmailpour, M. Safari, M.
Published in
Archives of Civil Engineering
A buckling analysis of temperature-dependent embedded plates reinforced by single-walled carbon nanotubes (SWCNTs) subjected to a magnetic field is investigated. The SWCNTs are distributed as uniform (UD) and three types of functionally graded nanotubes (FG), in which the material properties of the nano-composite plate are estimated based on the mi...
Li, Tan Ma, Xu Xili, Jing Chen, Wanji
Published in
Computational Mechanics
A 6-node triangular hybrid stress element is presented for Mindlin plate in this paper. The proposed element, denoted by TH6-27β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc...
玉井, 宏章 三久保, 里弥
The geometrical nonlinear finite element analyses of an elasto-plastic plate subjected to alternately repeated shear force are performed to investigate the mechanical characteristics of the energy absorption steel panels in the hysteretic dampers of a building frame. In the analysis, i) Mindlin plate theory is employed. ii) h-adaptive mesh refineme...
Gao, X-L Zhang, G Y
Published in
Proceedings. Mathematical, physical, and engineering sciences
A non-classical model for a Mindlin plate resting on an elastic foundation is developed in a general form using a modified couple stress theory, a surface elasticity theory and a two-parameter Winkler-Pasternak foundation model. It includes all five kinematic variables possible for a Mindlin plate. The equations of motion and the complete boundary ...
Kim, Cheol Lee, Jinwoo
Published in
Journal of Mechanical Science and Technology
An FEM-based topology optimization approach is proposed to calculate the topologies of a substrate plate and a piezoelectric layer used for vibrating unimorph cantilevered plate-like electricity generators (energy harvesters). The Mindlin plate theory was combined with a topology optimization algorithm to consider the shear effect. Each optimum top...
Falsone, G. Settineri, D. Elishakoff, I.
Published in
Archive of Applied Mechanics
A finite element (FE) approach is presented for the dynamic analysis of the Mindlin plates considering both shear deformation and rotary inertia effects. The model is based on the consistent version of the Mindlin equations, which neglects the higher-order time derivative contribution. The approach provides a new class of interdependent Hermite sha...
Helfen, Cécile E. Diebels, Stefan
Published in
Computers and Mathematics with Applications
In the present paper, a method for the modelling of the mechanical behaviour of composite plates, especially hybrid laminates and sandwich plates, is proposed. The chosen method is the computational homogenisation, or the so-called FE2, for plates. The principle is to split the considered problem into two scales: on the one hand, the two-dimensiona...
