目前對矯正治療中的施力與力矩有許多研究，但欠缺矯正線彎折對矯正器受力三維方向力與力矩影響的力學研究，也沒有電腦模擬分析矯正線與矯正器間相互作用的情形。本研究目的在於模擬並分析不同大小的矯正線彎折後對矯正器受力的影響，並且以電腦模擬加以分析。首先建立力學實驗模型，連結六軸測力儀與矯正器來測量矯正線所造成之力與力矩，測試不同規格矯正線在V型彎折和階梯彎折下的力與力矩，同時也以3-D有限元素法加以模擬不同條件的力與力矩，結果並與力學實驗比較。結果顯示矯正器除受垂直方向之力與前後傾倒的力矩外，也隨著彎折點位置的不同而受到了不定大小向頰舌側與前後向的力量。電腦模擬比對結果顯示向上彎折對矯正器有相似大小向上的力與順時針旋轉的力矩，但其他模擬卻得到比力學實驗更大的力；且彎折的矯正線放入矯正器後，最大的應變會產生在與矯正器交接處，而不是產生於彎折點。結論為經力學實驗發現隨著彎折點位置的不同而產生除了垂直向外的力量，且3-D有限元素電腦模擬是可取得比力學實驗更多資訊。

Many researches about the forces and moments induced by orthodontic treatment were reported. There were neither experiment about three-dimension force and moment induced by one bended wire and two brackets system nor numerical simulations to analyze the relation between bended wire and brackets. The aim of this study was to develop an in-vitro experiment model to detect 3-D force/moment system induced by different sizes of stainless steel wire with V-bend or step-bend and to mimic by using finite element method. An in-vitro experiment model was built up with two .018 slot brackets connected to a 6-axis load cell for data collection. The fixture was designed with solidwork and fabricated with acrylonitrile butadiene styrene (ABS) by 3-D printer. Varies size of stainless steel wires with V-bend were put into brackets at different position. Different heights of step-bend stainless steel wires were also used. 3-D models were built up and numerical simulations were made in ANSYS Workbench. The results showed that different data of vertical force and moment of mesio-distal tilting were obtained. Besides, the brackets also got varied amount of linguo-buccal and mesio-distal force depending on different position of bending point. Finite element simulation for step up-bending wire revealed the similar upward force and clockwise moment results with experiment model, but higher force of other simulations when comparing to experiment model was noted. The maximum strain of archwire was found at the contact point between bracket and wire, not at bending point. The conclusion was that different direction other than vertical force was produced at the position of bending point and 3D finite element simulation could provide more information

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