傳統的有限元素法應用於複雜大型結構進行分析時，常遭遇到計算量過於龐大所導致計算資源不足的問題。本文探討如何應用構件模態綜合法於結構動態分析。此法是藉由將結構分割成數個構件，利用廣義構件模態座標的縮減，保留各個構件的重要模態及補償模態，組成整體結構的縮減模型。本文研究重點為如何有效選擇補償模態來提升模態綜合分析的精確性。吾人針對傳統的固定介面構件模態綜合法進行改良，藉由引入殘餘勁度的概念於求解傳統拘束模態的過程中，進而解決構件的拘束條件可能不足所導致無法求得拘束模態的問題。同時，本文亦探討如何將構件模態綜合法有效應用在撓性連接結構以進行分析。由數值模擬顯示，構件模態綜合法可以有效降低大型結構的模型階數，進而提升分析時的有效性。

Conventional finite-element analysis may encounter the problem of insufficient computational resources especially when the structure system under consideration is very large and complex. This paper discusses the application of component mode synthesis for the dynamic analysis of structures. This method is that divides the structure into several components, reduces the component mode, keeps the important modes and compensation modes, and then assembles a reduced-order model of the entire structure. The critical problems lie in how to appropriately select the compensation modes to increase the precision of model. This paper improves the conventional fixed-interface component modes synthesis by introducing the concept of residual-stiffness into the solving process of conventional constraint mode, and then dealing with the problem which the constraint mode can’t be solved due to component’s constraint conditions may be insufficient. Simultaneously, this paper also discusses how to analyze the flexibility of interconnection structures by component mode synthesis. Through numerical simulation, component mode synthesis can effectively reduce model order of the large structure, and then increase analyzed effectiveness.

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