本研究論文應用有限元素法模擬輪胎成形過程,以及結合最佳化逆向設計的概念,建立了一套方法計算輪胎成形模具尺寸。首先,將輪胎成形過程分為三個階段,包括吹製填模、硫化階段以及後硫化階段,分別建立各成形階段有限元素模型,討論各階段對輪胎成品造成的影響;其中後硫化階段為冷卻過程,期間於胎內充以常壓定型,隨著溫度降低,材料會有膨脹、收縮以及潛變的效應,該階段將決定輪胎成品的幾何尺寸。針對輪胎後硫化冷卻過程,利用最佳化逆向設計的方法,計算輪胎冷卻前最佳幾何外型反推模具外型,經由這套方法便可以得到理想模具幾何,而生產出符合設計尺寸的輪胎,不但如此,在各成形階段分析亦提供足夠的資訊供設計者做為參考;在競爭激烈的業界,此一設計方法與流程能夠增進設計的便利性與可行性,大大的減低設計試誤成本。
In this thesis, optimization techniques combined with finite element simulation of tire manufacturing process are adopted to tackle the inverse design problem of tire die. The process of manufacturing tires includes three steps, which are filling die, curing process and post curing process. Finite element analyses are applied separately to these three steps. In the post curing process, the tire is cooled from cure temperature to room temperature while being held at a constant inflation pressure. Due to the thermal effects and creep of the components materials, the shape of tire will be determined at this step. Accordingly, the study focuses on the process of the post curing inflation, and calculates the ideal die size from the optimized initial tire shape by optimization program. Additionally, designer may obtain much useful information from each analysis of tire forming. A new, efficient design process to estimate die size is developed in this study by the combination of analysis and optimization method.