𝔖 Bobbio Scriptorium
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RESPONSE OF AN SDOF SYSTEM TO PERIODIC EXTERNAL AND PARAMETRIC EXCITATIONS WITH RANDOM PHASE MODULATIONS

✍ Scribed by M. Dimentberg; Z. Hou; M. Noori; W. Zhang


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
350 KB
Volume
192
Category
Article
ISSN
0022-460X

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✦ Synopsis


A single-degree-of-freedom system is considered, which is excited simultaneously by external and parametric time-variant loadings. Both these dynamic loads are assumed to be periodic in time with some random disorder, or phase modulations. Response analysis is made for this system by using stochastic averaging with subsequent application of the method of moments to the resulting set of the shortened ItoˆSDEs. The results of steady state mean square response analysis are presented in terms of the corresponding amplification factor, illustrating its dependence on excitation/system bandwidth ratios and detuning between expected excitation frequencies and the system's natural frequency.