中高阶子结构模态的精确综合法  

EXACT MODAL SYNTHESIS METHOD USING MID/HIGH-ORDER SUBSTRUCTURE MODES

作　　者：叶淑琴[1] 应祖光[1] 

机构地区：[1]浙江大学航空航天学院力学系,浙江杭州310027

出　　处：《工程力学》2009年第A01期20-23,共4页Engineering Mechanics

基　　金：浙江省自然科学基金项目(Y607087)

摘　　要：提出基于固定界面子结构中高阶模态的双协调结构模态精确综合方法。首先用固定界面子结构的中高阶模态与精确剩余约束模态表达子结构位移;再利用界面力与位移的协调关系进一步消去界面自由度,建立双协调的精确缩聚变换;然后根据里兹法,得到结构模态运动的精确综合特征方程。最后,通过多种情况综合的数值结果验证该方法的综合能力与准确性。An exact modal synthesis method with the continuity of interface displacements and forces is proposed by using the mid/high-order modes of interface-fixed substructures. Substructure displacements are firstly expressed by the mid/high-order modes and exact residual constraint modes of the interface-fixed substructure, where the lower-order mode components are eliminated by the dynamic equation. Then the interracial degrees of freedom are further eliminated based on the continuity of interface displacements and forces, and an exact reduced transformation is performed. The exact synthesis eigenvalue equation for structural mode vibration is obtained according to the Ritz procedure. Finally, the modal synthesis capacity and accuracy of the proposed method are verified by using numerical results in various synthesis cases.

关 键 词：结构振动 固定界面子结构 精确模态综合法 精确剩余约束模态 中高阶模态综合 

分 类 号：I327[文学—其他各国文学] TU311.3[建筑科学—结构工程]