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REDUCTION APPROACHES FOR VIBRATION CONTROL OF REPETITIVE STRUCTURES
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作者 陈伟民 孙东昌 +3 位作者 王大钧 魏建萍 仝力勇 王泉 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第5期637-644,共8页
The reduction approaches are presented for vibration control of symmetric, cyclic periodic and linking structures. The condensation of generalized coordinates, the locations of sensors and actuators, and the relation ... The reduction approaches are presented for vibration control of symmetric, cyclic periodic and linking structures. The condensation of generalized coordinates, the locations of sensors and actuators, and the relation between system inputs and control forces are assumed to be set in a symmetric way so that the control system posses the same repetition as the structure considered. By employing proper transformations of condensed generalized coordinates and the system inputs, the vibration control of an entire system can be implemented by carrying out the control of a number of sub-structures, and thus the dimension of the control problem can be significantly reduced. 展开更多
关键词 vibration control of structures repetitive structure symmetric structure cyclic periodic structure linking structure
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含多项式非线性关节的平面周期结构多谐波等效建模
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作者 李新圆 魏国 +2 位作者 刘福寿 郭娇娇 金栋平 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第9期1-11,共11页
大型结构中的非线性关节对结构的影响是一类值得研究的重要问题.针对含大量非线性关节的平面周期结构,建立了一种基于高阶谐波的等效方法.首先,在单元层面上,非线性关节采用多谐波描述函数法进行建模,关节-梁-关节单元在动态缩聚后得到... 大型结构中的非线性关节对结构的影响是一类值得研究的重要问题.针对含大量非线性关节的平面周期结构,建立了一种基于高阶谐波的等效方法.首先,在单元层面上,非线性关节采用多谐波描述函数法进行建模,关节-梁-关节单元在动态缩聚后得到混合梁单元.然后,在结构层面上,使用位移等效原理获得平面周期结构的多谐波等效欧拉梁单元模型.其次,使用伪弧长法来跟踪频响函数的轨迹.之后,设计了一个实验来验证理论模型的正确性,同时考虑了悬挂系绳的影响和空气阻力.仿真结果揭示了这类含非线性关节周期结构的非线性特性与单自由度非线性系统特性的相似之处.最后,说明了在预测共振频率和幅值时考虑高阶谐波的重要性. 展开更多
关键词 repetitive structure Multi-harmonic describing function method Nonlinear joints Harmonic response Joint eccentricity Equivalent modeling
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