李金录， 丁千^*

（  天津大学力学系 天津 300072；  ）

摘要： 针对局部摩擦接触（约束）对系统模态可能造成的影响，本文建立了一维循环梁结构的运动方程。首先计算无约束时梁的自由振动模态（参考模态），然后用线性弹簧代替局部接触，列写出连续条件并计算模态，得到所谓局部非连续基函数。将局部非连续基函数与参考模态进行正交化后，作为参考模态的补充，用于计算系统响应。与差分法结果比较表明，局部接触会抑制循环结构振动的对称性，导致正弦或余弦模态消失。局部约束下，结构振动是波动型的。
关键词： 一般力学与力学基础；局部约束；循环结构；模态；局部非连续基函数法

LI Jin lu， DING Qian^*

（  Department of mechanics of Tianjin University，Tianjin，300072；  ）

Abstract： In this paper, the equation of motion of one dimensional circular beam structure has been established, taking the possible impact of the local frictional contact (constraints) on the system mode into consideration. First of all ,the free vibration modal (reference mode) for unconstrained beam was calculated, and then use the linear spring instead of local contact, calculated the modal accorded the continuity conditions , and then got the local discontinuous basis function. The local discontinuous basis function modal was a supplement of reference mode , after orthogonalization. Finally, the system response was calculated. Compared with difference method results, local contact would restrain circulation symmetry of structure vibration, leaded to the disappear of sine or cosine modal.The type of structure vibration was fluctuations in local constraints.

Tag：

点此返回栏目查看更多>>>参考论文