Path Synthesis And Optimization Of Planar Multi-bar Mechanism

The linkage mechanism has unique advantages and can meet a variety of path requirements.Inferring the size of the linkage mechanism according to the path has always been a research hotspot and difficulty in the field of mechanism.Scholars mostly use indirect synthesis to establish a huge data library and use matching methods to identify the linkage curve in the database.However,the data stored in the library is often incomplete and the identification efficiency is low.This research adopts the idea of direct synthesis to study the path synthesis of the planar multi-bar mechanism.First,the input methods of the paths are studied,the Fourier series is used to fit the curve,and the normalized harmonic parameters are used as mathematical quantification features.The installation parameters of the mechanism are solved by using the different characteristic parameters of the expected and actual paths.Taking the amplitude of the curve slope as the error reference,compare the similarity of the two paths.Then,taking planar five-bar,RRPRR-type slider five-bar,and Stephenson-Ⅲ-type six-bar mechanism as examples,the corresponding mathematical model is established,and the velocity and acceleration are solved by the complex vector method.Fourier series expansion was performed on the three kinds of mechanism path curves,and the position expression was obtained.According to the mobility conditions of each mechanism and the crank existence conditions,the respective constraint conditions were studied as the theoretical support for the optimization step.Finally,based on the above theory,the genetic algorithm is adopted to complete the optimization and synthesis of closed and open paths of three planar multi-bar mechanisms,and representative calculation examples to achieve path synthesis are given.The application program interface was designed and written with App Designer,which integrated path input,optimized design calculation,dynamic simulation,and motion analysis,and developed a path synthesis system.Figure 42;Table 18;Reference 53...