Dynamic Response of Viscoelastic Beam

Dynamic ana1ysis of the viscoelastic simple supporteJ beam has beenmade in accordance with the re lationship between stre ss and strain expressedby the simplest Voigt mechanical mode1,from which several analytic ex-pressions have been obtained.It is shown that the reduction of the ratio of natural frequencips peog-resses with the increase of the exciting frequency for high modes(Tab.l).1n the final part of this paper,the forced vibration oL simple supportedbeam subjected to a random and harmonic excitation has also been dealt with,and the repre sentations of the beam defIection have been derived.     

粘弹性梁的动力响应

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.     

Dynamic response of viscoelastic beam

Dynamic 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.This paper was read at the 1980 Annual Meeting of Shanxi Association of Mechanics.