Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Chen, Yung-Wei. 2013. Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-502520
Modern Language Association (MLA)
Chen, Yung-Wei. Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-502520
American Medical Association (AMA)
Chen, Yung-Wei. Application of the Characteristic Time Expansion Method for Estimating Nonlinear Restoring Forces. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-502520
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502520