Shock is ubiquitous in life and often has a negative impact on human activities. Recently, researchers have tried various controllable materials and structures in the field of shock isolation, achieving active and semi-active control, especially various Magneto-Rheological (MR) dampers. However, there are problems such as the accuracy of the simulation model is not high and the traditional control methods and strategies cannot be used. In the current paper, a vibration isolator is proposed to improve the shock response, which is based on the MR effect. The MR damper is characterized by a differential equation model based on phase transition theory, and the dynamic model of the system is derived. Comparison of different numerical methods is presented, where the efficiency and accuracy of the different numerical methods are compared. Through the comparison, the best numerical method is finally obtained with an optimal parameter. When the system is subjected to shock, optimal control is achieved using different methods, including Chebyshev pseudo-spectral method, linear piecewise method, and Legendre wavelet method. The shock response shows the superiority of the system after adopting the control method, compared to the passive system and traditional fixed current control. This shows the effectiveness of the optimal control methods proposed in the current paper in solving shock isolation problems, especially the shock isolation problem during projectile launching.

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磁流变隔振器的数值模拟与优化控制仿真模型

休克在生活中无处不在，常常对人类活动产生负面影响。近年来，研究人员在隔震领域尝试了各种可控材料和结构，实现了主动和半主动控制，尤其是各种磁流变（MR）阻尼器。但存在仿真模型精度不高、不能采用传统控制方法和策略等问题。在当前的论文中，提出了一种基于 MR 效应的隔振器来改善冲击响应。MR阻尼器以基于相变理论的微分方程模型为特征，推导出系统动力学模型。介绍了不同数值方法的比较，比较了不同数值方法的效率和精度。通过比较，最终得到具有最优参数的最佳数值方法。当系统受到冲击时，采用不同的方法实现最优控制，包括切比雪夫伪谱法、线性分段法和勒让德小波法。与无源系统和传统的固定电流控制相比，采用控制方法后的冲击响应显示了系统的优越性。这说明了本文提出的最优控制方法在解决隔震问题，尤其是弹丸发射时的隔震问题方面的有效性。线性分段方法和勒让德小波方法。与无源系统和传统的固定电流控制相比，采用控制方法后的冲击响应显示了系统的优越性。这说明了本文提出的最优控制方法在解决隔震问题，尤其是弹丸发射时的隔震问题方面的有效性。线性分段方法和勒让德小波方法。与无源系统和传统的固定电流控制相比，采用控制方法后的冲击响应显示了系统的优越性。这说明了本文提出的最优控制方法在解决隔震问题，尤其是弹丸发射时的隔震问题方面的有效性。