冷却塔自振特性敏度分析的广义样条子域法

SENSITIVITY ANALYSIS OF VIBRATION MODES OF COOLING TOWER BASED ON THE GENERALIZED SPLINE SUBDOMAIN METHODS

本文以弹簧约束模拟冷却塔的实际支撑体系,用广义样条子域法建立主体旋转壳动力位移模式.其中,沿壳体两个主曲率线方向的弹簧约束系数通过实际支撑杆件与弹簧系统沿相应方向变形能相等的原则确定,且将弹簧约束模拟为一个广义样条环域与主体结构相连接,从而建立了冷却塔自振特性关于任一参数的敏度分析公式,并通过算例讨论了支撑参数对冷却塔自振特性的影响.

The real support of cooling tower is modelled by spring restraint system. Based on the generalized spline subdomain methods, the dynamic displacement modes of the revolutionary shell of the tower is solved. The spring factors in a and βdirections are determined based on the rule that the deformation energy in both of the principal directions of the real support is the same as that of the spring system. The spring restraint is assumed as a generalized spline circle domain joined with the main structure of the revolutionary shells and thus the procedure for sensitivity analysis of vibration modes of the cooling tower is established. The effect of the support system on the vibration modes of the structure is discussed through some numerical examples.