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Non-Linear Analysis of Shape Memory Devices with Duffing and Quadratic Oscillators

[+] Author and Article Information
Shantanu Rajendra Gaikward

Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Kandi, Sangareddy-502285, Telangana, India
me14mtech11024@iith.ac.in

Ashok Kumar Pandey

Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Kandi, Sangareddy-502285, Telangana, India
ashok@iith.ac.in

1Corresponding author.

ASME doi:10.1115/1.4037923 History: Received November 15, 2016; Revised September 06, 2017

Abstract

In this paper, we investigate the linear and nonlinear response of SMA based Duffing and Quadratic oscillator under large deflection conditions. To do the study, we first present the thermomechanical constitutive modeling of SMA with a single degree of freedom system. Subsequently, we solve the equation to obtain linear frequency and nonlinear frequency response using the method of harmonic balance and validate it with numerical solution as well as averaging method under isothermal condition. However, for non-isothermal condition, we analyze the influence of cubic and quadratic nonlinearity on the nonlinear response based on the method of harmonic balance. The analysis of results lead to various ways of controlling the nature and extent of nonlinear response of SMA based oscillators. Such findings can be effectively used to control the external vibration of different systems.

Copyright (c) 2017 by ASME
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