吉林大学学报(工学版) ›› 2012, Vol. 42 ›› Issue (增刊1): 147-150.

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Perturbed origin shift combined approximation method of N repeated defective systems

XU Tao1,2, ZHAO Shi-jia2, ZHANG Wei2, TAN Li-hui2,3, LV Gang2, LI Heng2   

  1. 1. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022, China;
    2. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;
    3. Department of Mechatronics, Jilin Institute of Chemical Technology, Jilin 132022, China
  • Received:2011-09-13 Online:2012-09-01 Published:2012-09-01

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Abstract: A fast algorithm of solving reanalysis problem of modified linear vibration defective system was proposed based on origin shift combined approximation method. For the perturbed defective system, the generalized eigenvectors can be expressed by the combination of the basis vectors and the coefficient vectors by introducing the shift of origin parameter based on the generalized mode theory and combined approximation method. By this method, the complex operations are simplified instead of solving large scale equations. The numerical examples demonstrate that the presented algorithm is efficient and fast with good accuracy and stability.

Key words: engineering mechanics, defective eigenvector set, generalized mode theory, shift of origin, linear vibration

CLC Number: 

  • O302
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