Research On Application Of Matrix Analysis In Mechanical Mechanism

Mechanism are the cornerstone of innovation in mechanical equipment and are also the source of developing mechanical equipment.The research on the mechanism is the foundation for the invention and creation of mechanical products,and it is also the key for improving the national manufacturing level and international competitiveness.Of course,any technological progress cannot be separated from the support of mathematics.similar,mechanical innovation and progress are closely related to mathematical knowledge.The first analyzes the three matrix analysis methods of adjacency matrix method,homogeneous transformation matrix method and helix theory in mechanical studies,and analyzes their various advantages,disadvantages and scope of application.Taking the adjacency matrix analysis method as an example,the mathematical model The movement of the crank slider rocker mechanism was established,and the position equation of the related mechanism was obtained.In order to verify the accuracy and validity of the algorithm,Matlab software was used to simulate the dynamic displacement diagrams of various components of the Active part of the mechanism within the rotation range of 0°-180°,and the displacement and speed of the slider of the key component in the mechanism.And the dynamic line graph of acceleration.The research results show that:(1)When the analysis of mechanism motion based on vector analysis method is limited,the analysis of mechanism motion based on matrix analysis method can be selected.(2)The motion analysis based on the spiral theory only needs The main drawback of the DH parameter method based on the homogeneous transformation matrix is to establish a relative coordinate system at each joint,compared to the helix theory.DH parameter method is more Complicated.(3)The adjacency matrix method can be widely applied to the kinematics analysis of composite hinges with moving subassemblies.It can also use Matlab to simulate the motion of composite hinges with moving subassemblies,and can dynamically move each component in the mechanism.Learn to analyze.These three matrix analysis methods are widely used in institutional studies,and play an important role in plane mechanisms and space agencies.This paper summarizes these algorithms and lays a solid foundation for further reference to the matrix method for institutional research.