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Optimization of actuator placement in a truss-cored sandwich plate with independent modal space control

机译：具有独立模态空间控制的桁架芯夹芯板中执行器布置的优化

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摘要

The determination of optimal locations of actuators is an important issue in the field of vibration control in structures. In this paper, a practical method for the optimal actuator placement in a truss-cored sandwich plate based on independent modal space control (IMSC) is proposed. It is shown that the modal strain energy (MSE) alone is not enough to determine the actuator locations since the system may become uncontrollable, especially when the structure is symmetrical. Moreover, it is found that the controllability can be measured through the singular values of the input matrix. Therefore the singular values of the input matrix together with the modal strain energy may serve as an effective optimization index for actuator placement. Numerical examples are presented to show that the maximal actuator force can be significantly reduced after the optimization in order to achieve an equal modal control force.
机译：致动器的最佳位置的确定是结构振动控制领域中的重要问题。本文提出了一种基于独立模态空间控制（IMSC）的桁架芯夹芯板最佳作动器位置的实用方法。结果表明，模态应变能（MSE）不足以确定执行机构的位置，因为系统可能变得无法控制，尤其是在结构对称的情况下。此外，发现可以通过输入矩阵的奇异值来测量可控性。因此，输入矩阵的奇异值与模态应变能一起可以用作执行器放置的有效优化指标。数值算例表明，在优化之后，为了获得相等的模态控制力，最大执行器力可以显着降低。

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