|Title:||Support motion of a finite bar with a viscously damped boundary||Authors:||Chen, Jeng-Tzong
|Keywords:||support motion;viscous damper;mode superposition method;quasi-static decomposition;diamond rule||Issue Date:||17-Nov-2022||Publisher:||OXFORD UNIV PRESS||Journal Volume:||38||Start page/Pages:||473-490||Source:||JOURNAL OF MECHANICS||Abstract:||
In this paper, we extended the previous experience to solve the vibration problem of a finite bar with a viscously damped boundary and the support motion on the other side. Two analytical methods, the mode superposition method in conjunction with the quasi-static decomposition method and the method of diamond rule based on the method of characteristics, were employed to derive two analytical solutions. One is a series solution by using the mode superposition method. The other is an exact solution by using the method of diamond rule. The non-conservative system with an external damper is solved straightforward by using the method of diamond rule to avoid the complex-valued eigen system. Agreement is made well. Both advantages and disadvantages of two methods were discussed.
|Appears in Collections:||河海工程學系|
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