摘要
利用随机振动理论,建立了惯导减振系统的集中参数分析模型。以各元件等效的质量、刚度和阻尼系数作为优化参数,以惯导系统的加速度均方值最小为优化目标,分别从解析与数值途径推导出惯导支架结构参数的优化计算公式,结合Lagrange乘子法和Powell算法对支架结构参数进行数值优化。数值算例说明了方法的正确性,为惯导系统结构减振优化设计提供了新思路。
According to random vibration theory, the concentrated parameter analysis model of INS (Inertial Navigation System) absorber for random vibration is presented. The optimum object is the minimum of the acceleration mean square response of INS. The equivalent mass, stiffness and damper coefficients are regarded as parameters of the optimization. Formulas to calculate the structure parameters of the supporter for INS is deduced by analytical and numerical methods respectively. Powell algorithm and generilized multiplier method are employed in the optimization process. Numerical results of examples show the efficiency and suitability of the methods.
出处
《强度与环境》
2005年第4期39-45,共7页
Structure & Environment Engineering
关键词
随机振动
同源激励
模态分析
优化参数
留数定理
random vibration
common source excitation
modal analysis
optimum parameter
residuetheorem