机械科学与技术2011，Vol.30Issue(9)：1471-1476,6.
考虑集中质量的旋转悬臂梁的动力学建模与频率分析
Dynamic Modeling and Frequency Analysis of a Rotating Cantilever Beam with a Concentrated Mass
摘要
Abstract
The rigid-flexible coupling dynamics and frequency analysis of a rotating cantilever beam with a concentrated mass located in an arbitrary is studied in this paper.Based on the accurate description of non-linear deformation of the flexible beam,the governing equations with the dynamic stiffening terms for this system are derived from both Lagrange′s equations and assumed mode method,taking the second-order coupling quantity of axial displacement caused by transverse displacement of the beam into account.For modeling of the concentrated mass,the Dirac delta function is introduced to avoid increasing the degrees of freedom of the system.The chord-wise equation is transformed into dimensionless form in which dimensionless parameters are identified.The effects of the concentrated mass for natural frequencies in chord-wise bending vibration are investigated through numerical simulation.The results show that the first-order natural frequency loci can be lowered by increasing the concentrated mass ratio,and the natural frequencies vary as the concentrated mass location ratio varies.关键词
悬臂梁/集中质量/刚柔耦合/频率分析/横向弯曲振动Key words
cantilever beam/concentrated mass/rigid-flexible coupling/frequency analysis/lateral bending vibration分类
数理科学引用本文复制引用
方建士,章定国..考虑集中质量的旋转悬臂梁的动力学建模与频率分析[J].机械科学与技术,2011,30(9):1471-1476,6.基金项目
国家自然科学基金项目 （）
江苏省自然科学基金项目 （）
江苏省青蓝工程资助项目 （）
南京工程学院科研基金项目（KXJ08102）资助 （）
