【摘要】 该文对附着在空间运动体上柔性悬臂梁的动力刚化问题进行了研究,采用微元法建立了中心刚体作任意三维运动时梁作横向二维振动和纵向一维振动的柔性梁动力学方程,此动力学方程计及了动力刚化效应。采用假设模态法对柔性梁进行离散,离散时计及了横向变形对纵向变形的耦合。通过一个仿真算例分析了动力刚化效应对梁变形运动的深刻影响。更多还原

【Abstract】 The dynamic stiffening problem of a flexible cantilever beam attached to a moving central rigid body undergoing an arbitrary three-dimensional large overall motion is discussed.A set of dynamic equations for two-dimensional transverse and one-dimensional longitudinal vibrations of the flexible beam with the dynamic stiffening terms was established by utilizing the differential element method.The flexible beam was discretized by employing the approach of assumed modes and the effects of the transverse deformation-induced longitudinal deformation were also included in the whole longitudinal deformation.An example was given to validate the present method and to show the significant effects of the dynamic stiffening terms on the deformation of the flexible beam.更多还原