The Error Analysis And Optimum Design Of Cycloid Ball Planetary Reducer

Cycloid ball planetary reducer is a new type of reducer, which uses ball as a mediator to transfer coaxial movement and driving force. Pure rolling drive instead of sliding transmission, it has a series of features, which include simple structure, simple creation, low-cost, low friction loss, high transmission efficiency. It has better prospects in the field of precision machinery, such as .robot.With increasingly high demands on the accuracy of transmission in modern industry, its error analysis appears to be particularly important. Because its tolerance standard has yet to formulate, so from the engineering point of view, the choice of tolerance still has nothing to comply with under the given requirement of accuracy. Besides, though cycloid ball planetary transmission designed by traditional design method Design can meet the requirements, the design parameters is not necessarily the most reasonable, and with low efficiency, high cost with regard to design, which restricts its promotion and application. Therefore, in this paper, we conducted research from its transmission error and optimization. Main contents are as follows:(1) We studied precision standards of the cycloid ball planetary reducer, precision items and tolerance of the center plate cycloid and planet ball, according to the accuracy standard of cycloidal gear and the characteristics of cycloid-tooth profile. Moreover, we proved that using the cycloidal gear tolerance is reasonable when choosing its central plate and planetary disk through the contrast of the characteristics of the pendulum Line needle wheel planetary reducer and cycloid ball planetary reducer; According to the principle of equivalence, we obtained the tolerance of its planetary disk and central plate using radius and coefficient as a clue. By analyzing the cycloidal plate transmission error and error of W institutions, we established its error statistic formula. Besides, according to the distribution of the probability of error, we simulated the generation of system error with Mengkaluote simulation method.We proved the method is feasible and accurate through the comparison of the practical calculation of cycloidal steel-ball planetary transmission and the actual test results. Furthermore, the correctness of the establishment of cycloidal gear and cycloid ball planetary reducer transmission has been verified. Using this method, we can not only choose tolerances under given accuracy of the tolerances to meet the requirements of precision, but can avoid unnecessary wastage.(2) In order to guarantee that cycloid ball planetary transmission has a good performance, we established the double objective constrained optimization problems using the smallest volume and the most efficient transmission as the objective functions, and applied genetic algorithm into its parametric design. In the process of optimization, we turned the multi-objective problem into a single objective one using the methods of equivalent distribution of weights. Besides, we changed constrained optimization problem into unconstrained optimization one, using punitive function method and realized its multi-objective optimization, providing a new optimized design thought for the pendulum Ball planetary transmission.We demonstrated that applying the genetic algorithm to the optimized design of the cycloid ball planetary transmission is feasible and effective, through optimization examples and the comparison of the results of genetic algorithm and the traditional optimization algorithm, offering a new and effective way for its optimization design.