- 作者: 廖燈圭
- 作者服務機構: National Taiwan University
- 中文摘要: The method of complex numbers is presented for synthesizing 6 link planemechanisms-Watt and Stephenson closed chains; and Gauss's elimination andmatrix theory are applied to solve the system. If the position equations of the linkage-the linear system in terms of k=1,2,…n (the link lengths at the first precision positions)-are solved by using theCramer's rule, large number of precision points would lead to the development ofhigh oder determinants, and its evaluation will be very tedious and much time-consuming even with an electronic-computer. Here, a less time-consuming pro-cedure, the Gauss's eilmination is applied to eliminate successively the terms inthe system which leads to compatibility equations. Then, the unknowns (angulardisplacements of the links) in the compatibility equations are eliminated successivelyby using the complex conjugate, matrix theory-Sylvester's dyalitic eliminant; andthe compatibility equations result in polynomial form. The order of the polynomialform is reduced as low as possible to raise the accuracy of the solution with CDC3150 electronic computer.
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