| The double sinusoidal generating wave push-rod movable tooth transmission is a new type of movable tooth transmission.The symmetrical double-phase generator can eliminate the constraint of inertial loads and achieve self-balancing.It has the advantages of smooth transmission,small size,high transmission efficiency and strong carrying capacity.In production,due to the inherent characteristics of the mechanism and the external input external,it will have a great impact on the transmission performance and service life of the mechanism.Therefore,it is of great significance to study the dynamic performance for the design and guidance of the mechanism.According to the transmission principle,the movement rule of the push-rod movable tooth is set,the theoretical tooth profile equation of the generator in the form of a double sinusoidal generating wave is derived,and the central gear tooth profile is conducted using coordinate transformation.By deducing the calculation formula of the variable curvature of the tooth profile of the central gear,the factors affecting the interference of the tooth profile of the central gear are analyzed.A three-dimensional model of the transmission mechanism was established in Pro/E software,and the transmission ratio of the mechanism was verified using the kinematics simulation function of ADAMS software.Based on the deformation coordination conditions of the generator and movable tooth meshing,the change rule of the meshing force of the push-rod movable tooth meshing pair was studied,and the factors affecting the meshing force of the push-rod movable tooth with the generator and central gear were analyzed.The finite element software was used to analyze the transmission mechanism statically,and the stress and strain clouds of each contact member were studied,and the maximum stress value and maximum strain value of the transmission system were obtained.The calculation formulas of two types of pressure angles of the transmission mechanism are derived,and the variation rules of each pressure angle and the sensitivity of the influencing parameters are analyzed.According to the definition of mechanical efficiency,the transmission meshing efficiency formula of the movable tooth of the push-rod is derived.The change rule of meshing efficiency is studied and the influence of each parameter is analyzed.Based on the Hertz contact theory,the meshing stiffness model of the push-rod movable tooth with generator and central gear is established,and the change and influencing factors of meshing stiffness are analyzed by numerical method.The curve fitting method is used to obtain the explicit expression of the meshing stiffness,and then the Fourier series expansion method is used to express meshing stiffness as a form of average value and incremental change.Incentive analysis was carried out in the domain.The dynamic model of translation and torsion coupling of sinusoidal double generating wave push-rod movable tooth transmission is established.Based on Newton's second law and the relative displacement relationship of each component,the system dynamic differential equations are listed,and the natural frequency curves of each order of the system are analyzed.Simplify the undamped free vibration equation of the system and derive the corresponding derived system equation.The natural frequency and vibration mode of the derived system are studied,and the influencing factors of the natural frequency of each order of the derived system are analyzed.Using the Runge-Kutta method,the dynamic differential equations of the system are solved in MATLAB,and the displacement response characteristics of the system are analyzed. |
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