A Study Of Algebraic Method For Path Synthesis Of Multi-link Mechanism

Multi-link mechanism is widely used in mechanical design and innovation,because it can realize complex motion trajectory.But existing synthetic methods to complete the path synthesis have some deficiencies.The research on the method of path synthesis is to establish an efficient and practical method.The main contents are summarized as follows:Firstly,a novel algebraic method was presented to solve the path synthesis problem for straight-lines mechanism.Taking crank slider mechanism and five-bar and similar four-bar mechanism as the objects,the linkage curve expressed by Fourier series was put into vector equation.The relationship between design parameters and harmonic parameters was obtained and the design equations were established.By Groebner basis method,the design results of path synthesis of two mechanisms were obtained.Then,a novel algebraic method was presented to solve the path synthesis problem for planar five-bar mechanism.The mechanism was divided by the method of bar-group,and the function relationship among the curve harmonic parameters,harmonic parameters of the linkage rotation angle function and the design parameters were obtained.Based on the relationship,the design equations are established in two steps.Multiple results were obtained by Groebner basis method to simplify equations.Finally,a novel algebraic method was presented to solve the path synthesis problem for 2-DOF hinge six-bar mechanism.The mechanism was decomposed into left 3-bar group and right 2-bar group.The linkage curve expressed by Fourier series was put into the vector loop equation of left and right group,and the relationship between the design parameters and the curve harmonic parameters were established.The design equations for solving the design parameters of left and right group were established based on the function.Multiple results were obtained by Groebner basis method to simplify equations.The new methods overcome the shortcoming of the original algebraic methods that multi-point continuous path synthesis cannot be realized.Atlas database and initial value need not to be established and set,and multiple results are obtained by the methods.Figure 33;Table 16;Reference 54...