Session: VIB-08-02: Nonlinear Systems & Phenomena II

Paper Number: 97841

97841 - Nonlinear Dynamics of Thermoelastic Structures to Resonant Excitations 

In this work, results of a study of forced vibrations of a thermoelastic plate with von Karman nonlinearities are presented.  The thermo-mechanical coupled model is made for the dynamic and static analysis of the thermoelastic plate considering one mode approximation for the transverse displacement, bending moment caused by temperature field and additional in-plane membranous force.  The plate’s first linear natural frequency is a function of the thermo-mechanical coupling which also introduces damping in the response.  The dynamic model consists of a second-order differential equation for transverse response coupled to two first-order equations, one each for bending moment due to temperature and the in-plane membrane force.  In the absence of thermoelastic coupling, the model reduces to the familiar Duffing type equation with cubic nonlinearity.  The analysis of forced vibration to a transverse harmonic excitation is carried out using harmonic balance as well as direct time integration coupled to a Fourier analysis for a range of excitation frequencies.  The effects of material nonlinearity and different amplitudes of excitation on the thermoelastic plate’s transverse displacement and thermoelastic variables are investigated. A significant difference is observed in the tranverse displacement response for linear plate to that of nonlinear plate because of the thermoelastic effects. So thermoelastic effects are very important in modelling of modern structures.

Presenting Author: Darshan Soni Purdue University

Presenting Author Biography: Graduate Student, School of Mechanical Engineering, Purdue University

Authors:

Darshan Soni Purdue University
Anil Bajaj Purdue University
Manoj Pandey Indian Institute of Technology, Madras