水下弹体连续发射时,会导致振动叠加问题,同时随着发射装置中剩余弹体数目减少和纵向减振器锁死,系统的质量、刚度发生突变,必需采用非线性方法进行冲击响应分析。本文将水下发射装置简化为多自由度非线性时变系统,根据牛顿第二定律建立了系统运动方程,其中系统质量、阻尼、刚度及外载荷矩阵均随时间变化,随后基于NewMark直接积分法求解了系统非线性冲击响应。最后给出数值算例,通过比较本文方法和有限元建模得到的动力学响应,验证了本文方法的准确性,并对系统冲击响应特性进行分析。在此基础上,提出了系统纵向减振器刚度、阻尼参数的优化方法,研究结果为发射装置减振器设计和参数优化提供高效分析手段,具有重要工程意义。
Abstract
Successive launches of underwater projectiles cause problems of vibration superposition and sudden changes of mass and stiffness of their launch system, and this situation needs to adopt the non-linear method to do shock response analysis.Here, the underwater launch system (ULS) was simplified as a multi-DOF nonlinear time-varying system.The governing dynamic equations of the system were derived with Newton’s second law, where the system’s mass, damping, stiffness and external load matrices changed with variation of time.Non-linear shock responses of the system were numerically solved with Newmark direct integration method.Numerical examples were given using the proposed method.The correctness of the method was verified by comparing the calculated results with those obtained using the finite element method (FEM).The system’s shock response characteristics were analyzed.Finally, a method was proposed to optimize stiffness and damping parameters of the system’s vertical shock isolator.The study results provided an effective analysis means for design and parametric optimization of launch systems’ shock isolators in engineering practice.
关键词
连射 /
非线性冲击响应 /
直接积分法 /
参数优化
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Key words
successive launches /
non-linear shock responses /
direct integration method /
parameter optimization
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脚注
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