本文旨在研究平板上承載多組彈簧-質量(S-M)系統歷經落摔衝擊後的動態響應及可靠度。本系統之組成構件，包括一個矩形平板及其上之彈簧-質量系統，簡稱此平板為負載平板(loading plate)，首先假設平板為剛體，分析其動態響應。其次考慮板件為四邊固定在彈性襯墊上的彈性體，本文使用ANCM(Analytical-and-Numerical- Combined Method)並利用模態展開法求解負載平板之自然頻率及模態，再利用應力與應變的關係求解平板上任一點的應力。然後考慮意外落摔高度為隨機變數，計算平板在落摔衝擊中的可靠度。文中將分別討論系統各項參數，諸如質量、彈簧常數及S-M系統位置等對動態響應及可靠度的影響。

The main purpose of this thesis is to study the dynamic responses and the reliability of a plate carrying multiple spring-mass(S-M) systems experienced a drop impact. The main members of system consist of a rectangular plate element and several S-M systems attached on it and we call it the loading plate. We first assume the plate element is a rigid body and analyze its dynamic response. Next we take into account the fact that the plate element is an elastic body which is fixed into the elastic gasket. The Analytical-and-Numerical-Combined Method and modal expansion theorem are applied to calculate the natural frequencies and mode shapes of the loading plate. Once the bending stresses of elastic plate element are solved by using the relations between stress and strain. The reliability can be evaluated by considering the drop height as a random variable. In the study, the effects of the system parameters such as mass, spring rate and the location of S-M system on the system responses and reliability will be investigated.

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