弯矩作用下薄板振动的仿真分析

针对工程中广泛存在的弯矩作用下板结构的振动问题,分别建立四边固定、三边固定一边自由、两对边固定两对边自由的3种不同边界条件下板的振动模型;基于有限元法计算振动板的频率响应,计算了各节点振动速度的平方和;运用部分追加法正交试验方案分别对板厚、边界条件、板的损耗因子三因素三水平、激励点位置四水平进行了正交试验。实例结果表明,以速度平方和的大小为目标,影响薄板振动的主次因素顺序为:损耗因子、板厚、边界、激励点位置;当振动板两对边固定另两对边自由支承、板厚为0.014m、在(0.5m,0.4m)点处激励且板的损耗因子为0.0008时,此组合为薄板结构振动最小的最优组合。

Plate structure under the action of bending moment vibration analysis

In order to study the plate structure vibration under the action of bending moment,widely used in engineering,the plate vibration models with three different boundary conditions: the 4-edge-fixed,the 3-edge-fixed-1-edge-free and the 2-edge-fixed-2-edge-free,are respectively established.Based on the finite element method the frequency response of the plate and the squares of each node vibration velocity are computaed.The appended orthogonal test method is used for the models.Plate thickness,boundary conditions,the plate loss factor of three factors three level,and incentive point of four levels are considered.The numerical example shows that,taking square of the velocities as the goal,the factors influencing the plates vibration are in such an order: the loss factor,thickness,boundary,incentive point position,the best combination is the case that the boundary condition is 2-edge-fix-2-edge-free,with 0.014 meters thickness,with incentive point being located at(0.5m,0.4m),and with the plate loss factor to be 0.0008,when the plate structure vibration is minimum.