EFFECT OF KINEMATICAL NONLINEARITIES ON VIBRATION FREQUENCIES OF A DAMPED STRING

被引：2
作者：
ARYA, JC
机构：
[1] Department of Mathematics, Simon Fraser University, Burnaby, V5A 1S6, British Columbia
来源：
ACTA MECHANICA | 1978年 / 29卷 / 1-4期
关键词：
D O I：
10.1007/BF01176634
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The effect of kinematical non-linearities on the transverse vibration modes of a damped streched string is investigated using the asymptotic method of Krylov, Bogoliubov and Mitropolskii. It is shown that for times which are small compared with the decay time, the natural frequencies are increased by a term which is proportional to the square of the amplitude of vibration. The nature of this term is investigated in detail for a particular set of boundary conditions at the ends of the string. © 1978 Springer-Verlag.
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页码：159 / 167
页数：9
相关论文
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