Mixed FEM for nonlinear dynamic analysis of truss with temperature variation subjected to harmonic load

This paper proposes a novel approach to solve the dynamic problem of truss with temperature variation under harmonic load considering geometric nonlinearity based on the mixed finite element method. In solving the nonlinear dynamic problem of truss structures using displacement-based finite element...

Full description

Saved in:
Bibliographic Details
Main Authors: Quyen, Vu Thi Bich, Tien, Dao Ngoc
Format: Conference Proceeding
Language:English
Subjects:
Dynamic response
Dynamical systems
Equilibrium equations
Finite element method
Geometric nonlinearity
Iterative algorithms
Iterative methods
Mathematical analysis
Nonlinear dynamics
Potential energy
Stiffness
Temperature dependence
Thermal analysis
Time dependence
Trussed structures
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes a novel approach to solve the dynamic problem of truss with temperature variation under harmonic load considering geometric nonlinearity based on the mixed finite element method. In solving the nonlinear dynamic problem of truss structures using displacement-based finite element formulation it is required to incorporate the temperature variation as a dependent boundary constraint to the master stiffness equation for producing a modified system of equation. For overcoming the mathematical difficulties of implementation of the thermal load the mixed finite truss element with temperature variation considering geometric nonlinearity is built in this research. The mixed dynamic equilibrium equation of the truss system subjected to harmonic load is constructed based on the principle of stationary potential energy. For solving the dynamic equilibrium equation of the truss system under time-dependent harmonic force the incremental iterative algorithm is established based on the combining Newmark integration method and Newton Raphson technique. Based on the established incremental iterative algorithm the procedure is built and a calculation program for investigating the dynamic response of truss system with temperature variation under harmonic load is written using Matlab software. Using the written calculation program the numerical test to investigate the time-dependent response of truss system with temperature variation under harmonic load is presented. The numerical test results show the efficiency of the proposed formulation in nonlinear dynamic analysis of truss with temperature variation under time- dependent load.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0103823