针对限位器在承受冲击载荷过程中存在二次冲击的问题，建立了双限位器冲击隔离系统数学模型，通过分段线性的杜哈梅积分对冲击方程进行了解析求解，并与阶跃速度法的冲击响应结果进行了对比，分析了限位器参数（刚度比、阻尼比、安装间隙）对冲击响应的影响，讨论了多岛遗传算法在限位器参数优化中的应用。研究结果表明：适当的限位器阻尼可以有效提升隔冲系统的抗冲击能力，但当阻尼较大时，不可用速度阶跃法进行计算；制定合理的优化策略，利用多岛遗传算法可以得到符合冲击要求的限位器最优参数。
Abstract
In order to solve secondary impact problem of displacement restrictors in the process of under impact load, the mathematical model of a shock isolation system with double displacement restrictors is established. The analytical solution to the shock isolation system is obtained by using a piecewise linear Duhamel integral method, and compared with results via step velocity method. Effects of displacement restrictors’ parameters (stiffness ratio, damping ratio and assembled clearance) on shock response are studied and applications of Multi-island Genetic Algorithm on parameter optimization are discussed. The results prove that proper damping ratio of displacement restrictor could provide effectively impact resistance of the system, but the equations could not be solved by step velocity method as damping ratio major. Besides, by using Multi-island Genetic Algorithm, it could obtain optimal parameter of displacement restrictor adjusted to shock isolation request by proposing reasonable optimization strategy.
关键词
限位器 /
杜哈梅积分 /
阶跃速度法 /
多岛遗传算法
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Key words
displacement restrictors /
Duhamel integral /
step velocity /
Multi-island Genetic Algorithm
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