Vibration analysis of plane elasticity problems by the -continuous time stepping finite element method

2009 ◽  
Vol 59 (5) ◽  
pp. 905-919 ◽  
Author(s):  
Junjiang Lai ◽  
Jianguo Huang ◽  
Chuanmiao Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Continuous Time ◽  
Vibration Analysis ◽  
Plane Elasticity ◽  
Time Stepping ◽  
Elasticity Problems ◽  
Element Method

Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

2016 ◽  
Vol 8 (3) ◽  
pp. 399-425 ◽  
Author(s):  
Yanhong Bai ◽  
Yongke Wu ◽  
Xiaoping Xie
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Displacement Vector ◽  
Plane Elasticity ◽  
Higher Order ◽  
Quadratic Functions ◽  
Elasticity Problems ◽  
Quadrilateral Finite Element ◽  
Hybrid Stress ◽  
Element Method

Abstract.This paper derives a higher order hybrid stress finite element method on quadrilateral meshes for linear plane elasticity problems. The method employs continuous piecewise bi-quadratic functions in local coordinates to approximate the displacement vector and a piecewise-independent 15-parameter mode to approximate the stress tensor. Error estimation shows that the method is free from Poisson-locking and has second-order accuracy in the energy norm. Numerical experiments confirm the theoretical results.

scholarly journals Forced Vibration Analysis of Laminated Composite Shells Reinforced with Graphene Nanoplatelets Using Finite Element Method

2020 ◽  
Vol 2020 ◽  
pp. 1-17 ◽  
Author(s):  
Trung Thanh Tran ◽  
Van Ke Tran ◽  
Pham Binh Le ◽  
Van Minh Phung ◽  
Van Thom Do ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Thermal Environments ◽  
Forced Vibration Analysis ◽  
Laminated Composite Shells ◽  
Element Method

This paper carries out forced vibration analysis of graphene nanoplatelet-reinforced composite laminated shells in thermal environments by employing the finite element method (FEM). Material properties including elastic modulus, specific gravity, and Poisson’s ratio are determined according to the Halpin–Tsai model. The first-order shear deformation theory (FSDT), which is based on the 8-node isoparametric element to establish the oscillation equation of shell structure, is employed in this work. We then code the computing program in the MATLAB application and examine the verification of convergence rate and reliability of the program by comparing the data of present work with those of other exact solutions. The effects of both geometric parameters and mechanical properties of materials on the forced vibration of the structure are investigated.

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