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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/23771

Title: Simultaneously estimating the time-dependent damping and stiffness coefficients with the aid of vibrational data
Authors: Chein-Shan Liu;Jiang-Ren Chang;Kai-Huey Chang;Yung-Wei Chen
Contributors: NTOU:Department of Mechanical and Mechatronic Engineering
國立臺灣海洋大學:機械與機電工程學系
Keywords: Inverse vibration problem;Time-dependent damping and stiffness coefficients;Integrating factor;Lie-group estimation method
Date: 2008
Issue Date: 2011-10-20T08:08:12Z
Publisher: CMC: Computers Materials and Continua
Abstract: Abstract:For the inverse vibration problem a mathematical method is required to determine unknown parameters from the measurement of vibration data. When both damping and stiffness functions are identified, it is a rather difficult problem. In this paper we will propose a feasible method to simultaneously estimate both the time-dependent damping and stiffness coefficients through three mathematical transformations. First, the second-order equation of motion is transformed into a self-adjoint first-order system by using the concept of integrating factor. Then, we transform these two ODEs into two hyperbolic type PDEs. Finally, we apply a one-step group preserving scheme for the semi-discretizations of PDEs to obtain two uncoupled algebraic equations, of which the first one is used to estimate the damping coefficient while the second one is used to estimate the stiffness coefficient. The estimated results are acceptable for that used in vibrational engineering. We also discuss the use of velocity and acceleration data as inputs in the estimation. However, it leads to a bad result, and is not suggested for the use in estimation.
Relation: 7(2), pp.97-108
URI: http://ntour.ntou.edu.tw/handle/987654321/23771
Appears in Collections:[機械與機電工程學系] 期刊論文

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