由於橡膠隔振器具有良好的可塑性且製造方便，並具有隔振功能，已存在一段很長的歷史。而其中引擎腳的應用不管是在汽車、輪船還是飛機上，皆已被廠商廣泛運用在自家產品上，以增加產品結構的隔振效果。然而純彈性之引擎腳在研究上的發展，卻不如液壓引擎腳及主動式之引擎腳般發達。因此本研究設計了一套純彈性引擎腳的幾何最佳化方法，以達到廠商對引擎腳靜態剛性值的設計要求。其中本研究利用有限元素分析軟體ANSYS，對引擎腳的靜態剛性進行模擬分析。在幾何最佳化的方法上，本研究導入了布穀鳥演算法，使得目標函數更容易收斂。且因啟發式演算法的特性，使得解不會被侷限於區域解之內。本研究的成果將可以提供國內之橡膠廠商，一套完整的引擎腳設計流程。藉由針對不同的橡膠材料進行拉伸及鬆弛試驗，並進行實驗數據的擬合及逆向有限元素法的使用，可以得到適用於個別實驗材料之有限元數模型。藉此進行引擎腳剛性值的分析，使得引擎腳的設計不再需要利用試誤法。藉由分析材料性質，決定目標剛性值以及設定邊界條件進行模擬，則得以完成一個符合廠商規格之引擎腳設計。

The applications of engine mounts, whether in car, ship or aircraft, have been widely used by the manufacturers on their own products to increase the vibration isolation effect of the product structure. This study aims to develope a geometry optimization method for elastomeric mounts to meet the static stiffness values in two different loading directions. In this study, the finite element analysis software ANSYS is used to simulate the static stiffness of the engine mounts. In the method of geometry optimization, this study introduces the cuckoo algorithm, which makes the objective function easier to converge. The numerical parameters for rubber model is obtained from tensile and relaxation tests by fitting experimental data and using inverse finite element method.

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