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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。
Aiming at the vibration problems of the plate structure under the bending moments widely existing in the project, the vibration models of the plate under three different boundary conditions with four sides fixed, three sides fixed free and two pairs of sides fixed two sides free are established respectively. Based on the finite element Method was used to calculate the frequency response of the vibration plate, and the square sum of the vibration velocity of each node was calculated. The plate thickness, the boundary conditions, the three factors and three levels of the loss factor of the plate and the four levels of the position of the excitation point Orthogonal test. The results of the example show that the order of the primary and secondary factors affecting the plate vibration is the loss factors, the plate thickness, the boundary and the position of the excitation point. The two plates are fixed on two opposite sides of the vibration plate, When the thickness is 0.014m, and the dissipation factor of the plate is 0.0008 at (0.5m, 0.4m), this combination is the optimal combination with the least vibration of the thin plate structure.