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首页> 外文期刊>Mechanical Engineering Journal >Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
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Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system

机译：计算I> H ∞优化设计的单块动态振动吸收器附加到阻尼初级系统

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摘要

There are three criteria typically used in the design of dynamic vibration absorbers (DVAs): H _(∞) optimization, H _(2) optimization, and stability maximization. Recently, interest has shifted to the optimization of multi-mass DVAs, but in fact, in even the most basic single-mass DVA, the effect of primary system damping on the optimal solution is still not fully understood with respect to the H _(∞) criterion. The author has recently reported an exact H _(∞)-optimal solution for a series-type double-mass DVA attached to a damped primary system. This article presents the application of this H _(∞) optimization method developed for a double-mass DVA to the optimization of a single-mass DVA. In the H _(∞) optimization of the mobility transfer function, a highly accurate numerical solution was successfully obtained by solving a single sixth-order algebraic equation. In the case of the optimization of the compliance and accelerance transfer functions, it is shown that a highly accurate numerical solution can be obtained by solving ternary systems of simultaneous algebraic equations. It should be noted that the equations presented in this paper can be factorized into simpler equations when there is no damping in the primary system. It is also demonstrated herein that the factorized expressions yield the previously published H _(∞)-optimal solutions.
机译：动态振动吸收器（DVA）设计中有三种标准（DVA）： H _（∞）优化， H _（2）优化，稳定性最大化。最近，利息已经转移到多质量DVA的优化，但实际上，在即使是最基本的单质量DVA，初级系统阻尼在最佳解决方案上的效果仍然没有完全理解 H _（∞）标准。作者最近报告了一个精确的 h _（∞） - 用于连接到阻尼主系统的系列式双质量DVA的精确 h _（∞）解决方案。本文介绍了为双质量DVA开发的I> H _（∞）优化方法的应用，以优化单质量DVA。在迁移率传递函数的优化中，通过求解单个第六阶代数方程，成功获得了高精度的数值解决方案。在优化顺应性和加速度传递函数的情况下，示出了通过求解同时代数方程的三元系统来获得高精度的数值解决方案。应当注意，当在主系统中没有阻尼时，本文呈现的方程可以被解体成更简单的方程。这里还在本文中展示了分解表达产生先前公布的 H _（∞） - 优化解决方案。

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