摘要
本文将文克尔弹性地基梁模型中的弹簧用粘弹性元件来替代,建立了三元件文克尔粘弹性地基上粘弹性梁的静力和动力本构方程,求出了粘弹性地基上弹性梁的自由振动的级数解。并且对不同的振动情况进行讨论,最后给出了算例及结论。
Static and dynamic differential equations are established for a viscoelastic beam resting upon a viscoelastic base of Winkler type with three elements by substituting viscoelastic elements for springs in the Winkler elastic beam-foundation model. Progressional solutions are obtained for vibrations of elastic beam upon viscoelastic support and various kinds of vibrations are then discussed. Example and conclusions are given in the end.
出处
《上海力学》
CSCD
1999年第4期470-476,共7页
Chinese Quarterly Mechanics
关键词
粘弹性地基
弹性梁
自由振动
级数解
viscoelastic foundation, elastic beam, free vibration, progressional solutions.