An iterative GL(n, R) method for solving non-linear inverse vibration problems

被引:0
作者
Liu, Chein-Shan [1 ]
机构
[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10764, Taiwan
关键词
Inverse vibration problem; Time-dependent damping and stiffness coefficients; Recovery of external force; Duffing non-linear oscillator; STIFFNESS COEFFICIENTS; IDENTIFICATION; OSCILLATOR; RESPONSES; SYSTEMS; MOTION;
D O I
10.1007/s11071-013-0997-2
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
For the inverse vibration problem, a differential-algebraic equation (DAE) method is proposed to simultaneously estimate the time-dependent damping and stiffness coefficients by using two sets of displacement and velocity as input data. We combine the equations of motion and the supplemental data into a set of DAEs. We develop an implicit scheme and a Newton iterative algorithm to stably solve the DAEs to find the unknown structural coefficients. The unknown force is also recovered by the present method. A linear oscillator and a non-linear Duffing oscillator are used as testing examples. The estimated results are rather accurate and robust against random noise; hence, the new method can be used in the solutions of non-linear inverse vibration problems.
引用
收藏
页码:685 / 699
页数:15
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