Parameters optimization of vibration isolation and mitigation system for precision platforms using non-dominated sorting genetic algorithm

•Parameters are optimized for a proposed precision platform with a well-designed vibration isolation and mitigation (VIM) system, in which VIM devices, magnetorheological (MR) dampers and viscoelastic (VE) dampers are adopted to mitigate vibration responses.•By adopting NSGA-II, the optimization method can effectively mitigate the vibration of the precision platform and also reduce the maximum control forces of MR dampers simultaneously, which will lead to the miniaturization of MR dampers.•The optimization method avoids the determination of weight coefficients for a set of multi-objectives, and it is especially effective under the vibration excitation between 0 and 100 Hz. In this work parameters are optimized for a proposed precision platform with a well-designed vibration isolation and mitigation (VIM) system, in which VIM devices, magnetorheological (MR) dampers and viscoelastic (VE) dampers are adopted to mitigate vibration responses. The optimization method is on the basis of the Non-dominated sorting genetic algorithm (NSGA-II), in which the dynamic responses as well as the maximum damping forces of MR dampers of the platform are chosen as objective functions. The optimization parameters, the constrain conditions and the objective functions are determined in accordance with the characteristics of the VIM system. Finally, a series of Pareto solutions are obtained and one Pareto solution is selected to compare with a preliminarily well designed VIM system. Numerical results show that the optimization method can effectively mitigate the vibration of the precision platform and reduce the maximum control forces of MR dampers simultaneously, which will lead to the miniaturization of MR dampers.