Optimal design of SINS's Stewart platform bumper for restoration accuracy based on genetic algorithm

•An optimal design methodology of SINS's Stewart platform bumper for restoration accuracy is proposed.•Total differential method to derive the equation of restoration accuracy for Stewart platform based bumper.•Genetic algorithm (GA) to solve the numerical optimization matter.•The Monte Carlo simulations (MCS) to compare the effect of optimal results among GA, sequence quadratic programming (SQP) method and interior point method.