本文之研究目的主要在於先進複材輪胎的動態滾動行為及行經路面凸角之力學響應研究，探討自行車輪胎在動態滾動時的行為。使用古典基層板理論依據其各部分材料與角度上組成的差異，轉換成工程常數，計算出其材料性質，以此描述輪胎複雜的結構。由於輪胎表層胎面以及胎體部份，屬於純橡膠材料，由拉伸試驗中得到力與伸長量的曲線並且利用此曲線得到的Mooney-Rivlin模型的參數去描述而此一大變形之非線性彈性材料。透過前處理建構出輪胎的結構，使用商用有限元素軟體LS-DYNA模擬計算輪胎受一可移動壓盤壓縮並與實驗值做比較，觀察輪胎所受之正向接觸反力曲線，其模擬與實驗的結果能夠有相當一致的結果。除此之外，使用兩種不同車速，分別為10、20、30km/hr使輪胎於乾燥平坦路面上滾動，觀察速度大小不同及不同高度與長度之凸角對輪胎結構的受力分佈的影響。由於輪胎所受到外在之動靜態的負載相當多，經過輪胎壓縮的實驗與數值驗證後，本文在滾動模組中選擇路面凸角如減速檔(Speed bump)與減速丘(Speed hump)做更深入之探討，模擬自行車胎完成充氣與滾動行為後，與路面凸角接觸，觀察輪胎速度與凸角接觸作用後，輪胎表面與接觸反力的數值反應。
由一開始的輪胎壓縮實驗與模擬比對，在受到一定的壓縮量後其接觸反力有相當一致的結果，在藉由有限元素軟體的模擬，藉此能提供可靠的數據去判斷輪胎的力學行為，且能透過本文之模擬成果希望能提供給工程人員參考並能減少所花費的實驗與時間成本，為本文主要之研究目的。

The purpose of this work is to study the rolling contact response of inflated pneumatic radial bicycle tires with a half vertical car weight loaded initially. Tires were designed to roll over a specific 75mm hight speed bump and 100 mm height speed hump obstacle on a dry roadway at a prescribed incident speed. The dynamic interactive response between the road bump and tire are examined numerically. Tire structure contains the rubber tread and reinforcing composite layers (i.e., the inner layer, carcass, bead filler and bead wires). The Mooney-Rivlin constitute law was adopted to describe the large deformation and non-linear behavior of rubber material which be obtained from the experimental data of force and displacement curve. The classical laminated theory was used to model the mechanical response for the reinforcing composite layers. In the present study, the 26”x1.5” radial tires with the smooth pattern were chosen to study the dynamic contact rolling response when tires roll over the speed bump and speed hump obstacle on a dry pavement. Finite Element Commercial Codes – LS-DYNA were used to simulate the smooth pattern tire’s qusi-static response in order to compare the normal contact forces obtained from both FEM commercial codes and compressive test data. It reveals that both experiment data and LS-DYNA simulated normal contact forces for the wheel compressing on the compression device. Current LS-DYNA tire models for four tread patterns mentioned above were then used to simulate the complete process of the tire rolling over two kinds of prescribed obstacle. It is noted that tires were numerically inflated to 240 kPa and loaded with a half bicycle weight initially, and the tires were then accelerated from rest on a dry-flat pavement up to velocities of 10、20 and 30 km/hr. The tires were then in contact with a prescribed 75 mm height road bump and 100mm height road hump. The lateral contact force and the normal contact force of the above mentioned simulation velocities on tires with two tread patterns rolling over bump and hump were obtained and reported. Detailed simulated results were also reported.

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