最大值最小化问题的优化算法与多自由度动力减振器参数计算  

OPTIMAL ALGORITHM FOR MINIMIZATION OF MAXIMUM VALUE PROBLEMS AND APPLICATION OF DYNAMIC ABSORBOR WITH MULTI-DOF

作　　者：侯祥林[1] 李和玉[1] 刘杰[2] 

机构地区：[1]沈阳建筑大学理学院,沈阳110168 [2]东北大学机械工程学院,沈阳110004

出　　处：《振动与冲击》2008年第1期100-103,共4页Journal of Vibration and Shock

基　　金：辽宁省博士起动基金资助项目(2001102017);辽宁省教育厅项目(20040297)

摘　　要：研究了如何确定多自由度动力减振器系统参数,使其主系统在较宽频带上能量的最小问题。提出了解决最大值的最小化问题有效的优化程序算法。建立了以固有频率比和阻尼比为设计变量,以振幅动力放大系数函数的多个峰值和整个宽频带下面积构造目标函数的优化问题。给出了两个自由度减振器参数的优化计算实例。实现了减振器参数选择的直接有效快速优化计算。这种方法将为复杂减振系统参数分析提供有力工具。The problem for determing parameters of dynamic absorbors with multi-degree of freedom is analyzed,so as to decrease the main system energy in a wide frequcncy band.New optimization method solving minimization of maximum valae problems is proposed.Using natural frequency ratio and damping ratio as design variables, constructing an objective function with the peak values of dynamic magnification factor and the dynamic magnification area of the main system in the whole frequency band,the optimization problem is built.Programming is performed and parameters of a dynamic absorbor with two degrees of freedom are practically computed.The result shows this new method is effective and can be used to determine parameters of complex absorber systems.

关 键 词：多自由度动力减振器 最大值最小化问题 参数优化计算 目标函数构造 

分 类 号：TB535.1[理学—物理] O322[理学—声学]