Robust optimum design of tuned mass dampers devices in random vibrations mitigation
Robust optimum design of tuned mass dampers devices in random vibrations mitigation
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DOI：
10.1016/j.jsv.2007.12.020
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发表时间：
2008-06
影响因子：
4.7
通讯作者：
G. Marano;S. Sgobba;R. Greco;Mauro Mezzina
中科院分区：
文献类型：
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作者：
G. Marano;S. Sgobba;R. Greco;Mauro Mezzina
调谐质量阻尼器（TMD）是土木工程和机械工程中最广泛采用和研究的振动控制策略之一。许多传统的优化标准的机械参数已被提出，基于不同的方法，通常是一个“传统”的类型;换句话说，他们是基于隐含的假设，所有涉及的参数是确定性已知的。去除这个假设意味着将传统的优化转换为鲁棒的优化，使得解决方案必须不仅能够最小化性能，而且能够限制由系统参数的不确定性引起的性能变化。在这项工作中，鲁棒性的优化设计准则，为单一的TMD装置的建议。所分析的情况涉及的结构振动控制的主系统受到随机动态载荷的单一线性TMD。动态输入由随机基础加速度表示，由平稳滤波白色噪声过程建模。假设不仅关于主结构和TMD的力学参数，而且输入谱内容也受到不确定性的影响。该问题被视为表征所有的不确定参数的名义均值和方差。还假设所有这些参数在统计上是独立的。确定性目标函数采用受保护主结构的协方差位移（无量纲化为无保护主结构的协方差位移）。其平均值和标准差进行评估，以执行稳健设计。鲁棒性被制定为一个多目标优化问题，其中确定性的OF的平均值和标准偏差都最小化。与传统的方法的基础上相同的OF的比较表明，鲁棒的方法诱导性能稳定性的显着改善。
One of the most widely adopted and studied strategies for vibration control both in civil and in mechanical engineering is based on the use of tuned mass dampers (TMD) devices. Many conventional optimization criteria of mechanical parameters have been proposed, based on different approaches typically of a “conventional” type; in other words, they are based on the implicit assumption that all parameters involved are deterministically known. Removing this hypothesis means to convert a conventional optimization into a robust one, so that the solution must be able not only to minimize a performance but also to limit its variation induced by uncertainty in system parameters. In this work, a robust optimal design criterion for a single TMD device is proposed. The analyzed case concerns the structural vibration control of a main system subject to stochastic dynamic loads by a single linear TMD. The dynamic input is represented by a random base acceleration, modelled by a stationary filtered white noise process. It is assumed that not only mechanical parameters regarding main structure and TMD but also input spectral contents are affected by uncertainty. The problem is treated characterizing all uncertain parameters by a nominal mean value and a variance. It is also assumed that all these parameters are statistically independent. The protected main structure covariance displacement (dimensionless by dividing for the unprotected one) is adopted as the deterministic objective function (OF). Its mean and standard deviation are evaluated to perform the robust design. Robustness is formulated as a multiobjective optimization problem, in which both the mean and the standard deviations of the deterministic OF are minimized. Comparisons with a conventional approach based on the same OF show that the robust approach induces a significant improvement in performance stability.