Far East Journal of Dynamical Systems
Volume 6, Issue 1, Pages 67 - 77
(June 2004)
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EIGEN PARAMETER PERTURBATION AND APPLICATION TO LINEAR DYNAMIC SYSTEM MODIFICATIONS
R. K. Srivastava (India) and Rajeev Srivastava (India)
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Abstract:
Rapid re-analysis of dynamic systems after any hardware modification is a problem of considerable practical importance. Re-analysis or structural dynamic modifications is the method of obtaining quick solution for modified systems by those of the unmodified system without going for time taking exact solution. The present paper addresses itself the above problem. A faster eigen parameter perturbation approach is applied in such cases. The method is illustrated by a numerical example of general symmetric matrix and a multi-degree of freedom spring mass system. Results are compared with the exact solution. |
| Keywords and phrases: perturbation, linear dynamic system modification, multi-degree of freedom system, eigenvalue, eigenvectors. |
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