本論文探討一種六連桿硬頂式汽車敞篷機構之尺寸合成與最佳化，從數種現有專利機構中挑選瓦特I型機構作為本研究之機構，再由三組三矢的向量迴路式推導出機構桿件於兩設計位置間的拘束式，如此即可得到此機構最多可通過八個設計位置。接著提出一個可通過四個設計位置之運動合成的解析方法。此外，以一數值方法剔除合成之機構產生分支的問題。最後以模擬退火法作為最佳化方法合成機構的最佳尺寸，以達到最小收納空間與最大機械利益。且由兩個數值範例驗證本文所提出之方法。

This thesis deals with the optimal dimensional synthesis of a six-bar hard-top convertible roof mechanism. The mechanism investigated in this study is selected from a number of existing patented mechanisms and the kinematic structure of which is of the Watt’s type I six-bar linkage. The constraint equations in between two prescribed positions of the coupler link are first derived from the vector loop closure equations of three triads, from which it is found that the maximum number of design positions that can be specified for this type of mechanisms is eight. An analytical procedure for four-precision-point motion generation is then presented. In addition, a numerical method for eliminating the branching problems of the synthesized mechanism is developed. Finally, the simulated annealing optimization technique is employed for synthesizing the optimal dimensions of the mechanism such that it would not only give the minimum storage space but also have the maximum mechanical advantage along the motion trajectory. The proposed method is verified by two numerical examples.

[ 1 ] 賴偉立，"汽車硬頂敞篷機構之構造與運動分析"，碩士論文，國立台灣科技大學機械工程研究所，2002.
[ 2 ] D. Mac Farland , " Retractable Hard Top for Passenger Cars " , United States Patent , Patent No.：US 6439642 B2 , 8/27/2002.
[ 3 ] A. H. Soni , " Mechanism Synthesis and Analysis " , McGraw-Hill , 1974 , pp.5.
[ 4 ] A. G. Erdman , G. N. Sandor , and S. Kota , "Mechanism Design , Analysis and Synthesis " , Vol.1(4th ed.) , Prentice-Hall , 2001 , pp.14-15.
[ 5 ] M. T. Willard , " Convertible Hardtop Roof " , United States Patent , Patent No.：US 7063371 B2 , 6/20/2006.
[ 6 ] C. J. Dilluvio , " Hardtop Convertible " , United States Patent , Patent No.：US 7014247 B2 , 3/21/2006.
[ 7 ] F. Neubrand , and W. U. Richter , " Folding Hardtop with Rear Window Articulation " , United States Patent , Patent No.：US 6866324 B2 , 3/15/2005.
[ 8 ] A. G. Erdman和G. N. Sandor 著，陳正光和徐正會 譯，"機構學設計(分析與合成) "，東華書局，1996，pp.539.
[ 9 ] 吳隆庸和姜治華，"平面連桿機構之死點構型的數量"，中國機械工程學會第八屆學術研討會，1991，14(5)，pp.1343-1350
[ 10 ] R. A. Jarvis , " On the Identification of the Convex Hull of a Finite Set of Points in the Plane " , Information Processing Letters , 1973 , 2(1) , pp.18-21.
[ 11 ] 羅志強和鐘爾杰，"任意多邊形面積公式的推導及其應用"，大學數學，2005，21(1)，pp.123-125.