Active Vibration Control of Nonlinear Benchmark Buildings
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摘要: 非线性基准建筑物的振动方程属于非仿射系统，目前的非线性模型降阶方法不能采用．而直接采用非线性控制策略所设计的控制器阶数较高，难以用于实际场合．为此，开发了一种适合于非线性建筑结构的新的振动主动控制方法，该方法思路是识别线性化的结构模型，进而根据力作用原理把控制力施加到所识别的结构模型上．该方法所建模型可以通过经验Grammian矩阵进行平衡降阶，所以具有较好的实用性．最后给出了3层基准结构的计算实例，其结果表明所提出的方法对土木工程结构是可行的．
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关键词:
- 非线性 /
- 建筑物 /
- 模型识别 /
- 线性化 /
- 经验Grammian矩阵
Abstract: The present nonlinear model reduction methods unfit for nonlinear benchmark buildings as their vibration equations belong to non affine system. Meanwhile, the controllers designed directly by nonlinear control strategy have a high order and are the difficult to be applied actually. Therefore, a new active vibration control way which fits nonlinear buildings was proposed. The idea of the proposed way was based on model identification and structural model linearization, exerting the control force to the built model according to the force action principle. The proposed way has a better practicability as the built model can be reduced by balance reduction method based on the empirical Grammian matrix. At last, a 3 storey benchmark structure was presented. Simulation results illustrate that the proposed method is viable for civil engineering structures.-
Key words:
- nonlinear /
- buildings /
- model identification /
- linear /
- empirical Grammian matrix
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