Kinematic Optimal Design of Ball-Screw Transmission Mechanisms Based on NoCuSa

This paper proposes a variable speed optimal designing method of ball-screw transmission mechanisms based on NoCuSa (Nonhomogeneous Cuckoo Search Algorithm). The optimal function of the input speed was designed, without changing the mechanical structure of the original ball-screw driving mechanism. It can reduce the peak output of the ball-screw and improve output performance. In this paper, kinematic dimensionless equations of rotation angle, velocity, acceleration, and jerk were established for the optimization problem-solving. the mathematical model of the optimization based on seventh-order polynomial was given. The NoCuSa was used to optimize the design function objective function and get the optimal speed function. Finally, the optimized speed function was brought into the dimensionless equation to obtain the optimal output and compared with the GA (Genetic Algorithm) optimization, Liu’s optimal design method, and the constant speed input method. And a set of actual parameters of the ball-screw is selected to simulate the actual output performance.