Multi-objective optimization method for pin-hole small tooth difference planetary reducer

Abstract

The invention discloses a multi-objective optimization method for a pin-hole small tooth difference planetary reducer, comprising the steps of first, utilizing pin and pin-hole gallery parameters and material parameters to establish a mathematical model of pin and pin-hole normal contact force based on Hertz contact theory; second, selecting 5 dimensional parameters of the reducer as design variables to construct 8 nonlinear constraint equations, and establishing a multi-objective optimization model for optimizing normal contact force and reducer size; third, using evaluation function method and penalty function method to solve and calculate an example, and verifying the optimization model; fourth, using ADAMS (automatic dynamic analysis of mechanical systems) to perform dynamics simulation on the normal contact force to obtain non-optimized and optimized time domain and frequency domain simulation diagrams. The multi-objective optimization method has the advantages that bearing capacity is improved and operation impact is reduced at the premise of reducing the size of the reducer.

Description

technical field [0001] The invention relates to a reducer optimization method, in particular to a multi-objective optimization method for a hole-pin type planetary reducer with small tooth difference, and belongs to the technical field of reduction products. Background technique [0002] Hole pin type planetary reducer with small tooth difference is widely used in national defense, metallurgy, industrial robot and other fields due to its unique internal meshing and small tooth difference characteristics, large transmission ratio, compact structure, large bearing capacity, and stable operation. However, precision transmission is always Restricted by the contact strength between the pin shaft and the pin hole, it directly affects the transmission accuracy and fatigue life of the entire reducer. The contact between the pin shaft and the pin hole is the key weak link of this type of reducer, and it is also the key to the vibration and noise of the reducer during operation. The m...

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Problems solved by technology

[0002] Hole pin type planetary reducer with small tooth difference is widely used in national defense, metallurgy, industrial robot and other fields due to its unique internal meshing and small tooth difference characteristics, large transmission ratio, compact structure, large bearing capacity, and stable operation. However, precision transmission is always Restricted by the contact strength between the pin shaft and the pin hole, it directly affects the transmission accuracy and fatigue life of the entire reducer. The contact between the pin shaft and the pin hole is the key weak link of this type of reducer, and it is also the key to the vibration and noise of the reducer during operation. The main source, for this kind of collision contact problem, has proposed a contact theory method based on a variety of assumptions; according to the motion law of the reducer, the contact stress of the pin shaft and the pin hole is calculated within a certain range by using elastic mechanics and finite element methods. Quantitative calculation and division of dangerous areas; by simplifying the pin shaft into a statically indeterminate beam, the end disturbance of the pin shaft and the force between the pin hole and the pin hole are calculated by using the method of material mechanics; through the motion of the pin shaft The elastic deformation in the process uses the unit work integral method to calculate the maximum load between the pin shaft and the pin hole; there are many quantitative calculation methods for the contact force in the prior art, but how to optimize this key weak link to achieve further The study of increasing the bearing capacity of the reducer and prolonging the life of the reducer has not yet been published. At the same time, when designing this type of reducer, due to the complex calculation of parameters, the design parameters are often determined after the given transmission conditions are reached, without consideration of the reducer. Compactness further optimizes the design parameters to meet the actual demand for miniaturization in the precision field