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2013 Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces
Yung-Wei Chen
J. Appl. Math. 2013: 1-13 (2013). DOI: 10.1155/2013/841690

Abstract

This paper proposes a characteristic time expansion method (CTEM) for estimating nonlinear restoring forces. Because noisy data and numerical instability are the main causes of numerical developing problems in an inverse field, a polynomial to identify restoring forces is usually adopted to eliminate these problems. However, results of the way doing are undesirable for a high order of polynomial. To overcome this difficulty, the characteristic length (CL) is introduced into the power series, and a natural regularization technique is applied to ensure numerical stability and determine the existence of a solution. As compared to previous solutions presented in other researches, the proposed method is a desirable and accurate solver for the problem of restoring the force in the inverse vibration problems.

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Yung-Wei Chen. "Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces." J. Appl. Math. 2013 1 - 13, 2013. https://doi.org/10.1155/2013/841690

Information

Published: 2013
First available in Project Euclid: 14 March 2014

MathSciNet: MR3124609
Digital Object Identifier: 10.1155/2013/841690

Rights: Copyright © 2013 Hindawi

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