Research On Intelligent Modification Design Of Involute Spur Gear Transmission System

With the rapid development of modern science and industrial technology,gear products with high rotational speed,low vibration and noise,and strong bearing capacity can meet current and future needs.Because there are many factors affecting the performance of gear transmission,under the combined action of internal and external excitation,gear transmission inevitably produces meshing impact,which causes vibration and noise.Practice shows that gear modification is one of the important ways to solve the problem of vibration and noise.Therefore,the research on gear modification is of great significance to reduce the vibration and noise of gear transmission system and improve its transmission performance.This thesis takes the involute spur gear transmission system as the research object,establishes a multi-factor coupling non-linear dynamic model for numerical analysis,and then verifies it by simulation analysis.Finally,the modification parameters are optimized by artificial bee colony algorithm.The main research contents of this thesis include:(1)The thesis discuss a large number of domestic and foreign related literature,analysis the research status of gear parametric modeling,gear dynamics,gear modification at home and abroad,and gives the research content and methods.(2)Taking the involute spur gear transmission system as the research object,a 16-DOF bending-torsion coupling non-linear dynamic model of involute spur gear-rotor-bearing system is established by using the lumped parameter method.The internal excitation such as timevarying meshing stiffness,backlash,transmission error,tooth surface friction and the mass eccentricity of the gear are considered comprehensively.The external factors such as the bending deformation of the rotating shaft,the non-linear bearing force of the bearing and the gravity of the system,and the profile modification of the gear are also discussed.The dynamic differential equation of the system is derived by using the Langrange equation.Based on MATLAB,the 4-5 order Runge-Kutta method is used to solve the non-linear dynamic equation of involute spur gear transmission system,and the dynamic response of the system is obtained.Then the influence of friction coefficient,gear accuracy grade,meshing damping coefficient,bearing parameters and modification parameters on the dynamic response of involute spur gear transmission system is analyzed.(3)Accurate tooth profile equation and modification curve equation of involute spur gear are established,and a parametric three-dimensional model of involute spur gear transmission system considering modification is established by UG.Then,the parameterized threedimensional model of spur gear transmission system is imported into ANSYS for modal calculation,and the modal neutral file is output.Then the modal neutral file is imported into ADAMS.Through assembly,constraints,loading and adding contacts,the multi-flexible body dynamics simulation model of involute spur gear transmission system is established and simulated.Finally,the simulation results are compared with the numerical results to verify the correctness of the non-linear dynamic numerical analysis model of involute spur gear transmission system established in this thesis.(4)Based on the non-linear dynamic model of involute spur gear transmission system,the mathematical model of tooth profile modification optimization is established with the minimum amplitude of comprehensive transmission error as the optimization objective and the tooth profile modification parameters as design variables.Then,the optimal mathematical model of tooth profile modification is optimized by using artificial bee colony optimization algorithm,and the optimal parameters of tooth profile modification are obtained.Finally,the optimized modification parameters are brought into the original program,and the dynamic response of the system before and after modification is compared and analyzed,which achieves the desired results.The feasibility and validity of the intelligent modification design of involute spur gear transmission system are further verified.