粘弹性梁的动力响应
Dynamic Response of Viscoelastic Beam
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摘要: 本文利用Voigt力学模型对粘弹性简支梁进行动力分析,得到了梁的自由振动与强迫振动的若干解析解的表达式.并与S.Timoshenko给出的弹性简支梁的相应的结论进行了比较,指出了弹性动力分析的局限性.最后给出了二个数值例子.Abstract: The ynamic analysis of the viscoelastic simple supported beam has been made in accordance with the relationship between stress and strain expressed by the simplest Voigt mechanical model, from which several analytic expressions have been obtained.It is shown that the reduction of the ratio of. natural frequencies progresses with the increase of the exciting frequency for high modes [Tab.1]. In the final part of this paper, the forced vibration of simple supported beam subjected to a random and harmonic excitation has also been dealt with, and the representations of the beam deflection have been derived.
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[1] Сорокин, Е.С.,К теории внутреннечо трения при колебанчях упругих систем(1960). [2] Пановко,Я.г.,Внутреннее трение при колебаниях уцругих систем(1960). [3] 朱伯芳,力学学报,第2期(1964). [4] Ferry,John D.,Viscoelastic Properties of Polymers,(1961). [5] Lee,E.H.,Viscoelasticity,in Handbook of Engineering Mechanics(Flügg,W.,ed.)(1962). [6] Lou,Y.K.and Klosner,J.M.,J.Appl.Mech.June(1971). [7] Yang,T.Y.and Lianis G.,J.Appl.Mech.Sept.(1974). [8] Duffey,T.A.,J.Appl.Mech.March(1976). [9] Bland,D.R.,Linear Viscoelastic Theory(1960). [10] Flügg,W.,Viscoelasticity(1975). [11] Timoshenko,S.,Young,D.H.and Weaver,Jr.,W.,Vibration Problems in Engineering,4th ed.(1974). [12] Newman,M.K.,J.Appl.Mech.Sept.(1959). [13] Meirovitch,Leonard,Elements of Vibration Analysis,(1975). [14] Huang,C.C.,J.Appl.Mech.,March,(1977). -
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