EIGENSOLUTION OF NONCLASSICALLY DAMPED ASYMMETRIC VIBRATION SYSTEMS | ||||
| ERJ. Engineering Research Journal | ||||
| Article 8, Volume 24, Issue 2, April 2001, Page 135-153 PDF (514.84 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/erjm.2001.71023 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| ElSayed M. ElBeheiry | ||||
| Department of Production Engineering and Mechanical design, Faculty of Engineering, Menoufia University, Shebin ElKom, Egypt . | ||||
| Abstract | ||||
| This paper presents a new effective approach to solving the generalized eigenvalue problem Bu =Mu by using a perturbation technique. A generalized second-order perturbation theory is adapted such that the perturbed solution will be based on the eigensolution of an unperturbed subproblem describing the conservative part of the original nonclassically, viscously damped system with asymmetric mass, damping and stiffness matrices. Two numerical examples in addition to a practical problem are studied to show that tk eigensolutions obtained by the current method match, to a great ex?ent, so!utions obtained by time-consuming exact methods. | ||||
| Keywords | ||||
| Eigenproblems; asymdetric systems; nonproportional damping; perturbation | ||||
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