Journal of Applied Mathematics

Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces

Yung-Wei Chen

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 841690, 13 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808189

Digital Object Identifier
doi:10.1155/2013/841690

Mathematical Reviews number (MathSciNet)
MR3124609

Citation

Chen, Yung-Wei. Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces. J. Appl. Math. 2013 (2013), Article ID 841690, 13 pages. doi:10.1155/2013/841690. https://projecteuclid.org/euclid.jam/1394808189


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