Research Of Functional Synthesis And Optimal Design Of Planar Linkage Mechanisms

The purpose of this study is to achieve automatic design of functional synthesis, that is to say, get the type and size of the best linkage as soon as the synthesis function is given. Watt's linkage and planar four-bar linkage is researched as a key example.The first study to link the length of the traditional equation for the residual sum of squares and the lack of objective function, that is not an accurate reflection of the agency to an integrated function of the error, and most importantly, link different types of application of the conditions set out in the long residual design equation is not the same as the physical meaning. therefore unable to different types of organizations and the results were compared. This study was used to replace fixed-length output angular deviation equation residuals. It also means a large amount of points in the square and angular deviation output as an objective function, thus smoothly to resolve the issue.Secondly, the focus of the initial consideration is the overall points, or convergence. Since the purpose of this study is to design an automatic design systems therefore, no claim to the value of experience as a user input in the initial iteration, Application of this method has produced some of the restrictions. In consideration, at the precise point of this study was integrated in the overall use of the algorithm, namely numerical Extension (homotopy iteration), and a large amount of points in the optimal design Powell algorithm, point to the results of the comprehensive and accurate optimization of the initial design, so as to solve the problem.In nonlinear equations, as well as the optimization algorithm method, analysis, They were selected principal elimination of the whole election-Newton-retirement and Extension Act -0.618 numerical method-count method Powell Combination Act, the application of the four-bar linkage Watt agencies to get a more satisfactory results.The bodies of four-bar linkage Watt organizations applied for long, derived a precise point function integrated design formula, the two agencies developed a comprehensive design function of the computer program. some examples in the paper.The bodies of the four-bar linkage Watt output angle expression is derived for a given angle of the respective input domain. Two bodies were drawn function integrated design optimization objective function, the corresponding computer program. some examples in the paper.Two optimal design of the integrated function of the physical meaning of the same objective function. Linkages are integrated functions for a given error, the results are so different from each other can compare. among different types of institutions in order to achieve optimum design. The text of the address operator, a good illustration of the process of achieving this task.