中文摘要：

考虑移动质量块的惯性效应及梁的自重,研究了弯曲中心线与扭转中心线不重合时简支梁的弯曲-扭转振动.首先求得无移动质量块系统的自由振动频率,并考查了几何参数和材料参数对它的影响;然后针对含有移动质量块的情形,计入移动质量块的惯性效应和梁自重效应的影响,理论导出了系统的耦合振动方程,并借助Galerkin法进行离散化;最后通过数值计算得其解.研究表明,移动质量块的惯性项及梁的自重效应对系统弯曲位移和扭转位移有较大影响,在工程实际中应予以重视.

英文摘要：

The present work deals with the coupled flexural-torsional vibration of a simply supported beam subjected to a constant moving mass and acted upon by a torsional moment of constant magnitude, taking into account the inertia effect of mass and considering the misalignment of locus of the mass centers and that of the shear centers. The coupled flexural-torsional free vibration is studied first and the natural frequencies are calculated for various geometric and material parameters. Afterwards, considering the inertial effect of the moving mass and the weight of the beam itself, the partial differential equations of motion are derived, which are further discretized by Galerkin method and solved via numerical calculations. It is found that the effect of inertia of the moving mass and the weight of the beam itself on the deformation of the beam system is significant. The results obtained may be useful for actual engineering.