带附加集中质量加肋板随机振动分析与控制
Analysis and Control of Stochastic Vibration of Stiffened Plates with Concentrated Added Mass
作者：伊晓华(浙江大学 软弱土与环境土工教育部重点实验室,浙江 杭州 310027)；张我华(1．浙江大学 软弱土与环境土工教育部重点实验室,浙江 杭州 310027;2．温州大学 建筑与土木工程学院,浙江 温州 325035)
Author：Yi Xiaohua(Key Lab. of Soft Soils and Geoenvironmental Eng., Ministry of Education，Zhejiang Univ., Hangzhou 310027,China)；Zhang Wohua(1．Key Lab. of Soft Soils and Geoenvironmental Eng., Ministry of Education，Zhejiang Univ., Hangzhou 310027,China;2．College of Architecture and Civil Eng., Wenzhou Univ., Wenzhou 325035,China)
收稿日期：2008-04-21 年卷（期）页码：2010,42(1):67-73
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：加肋板振动；随机振动；附加集中质量；主动控制；加速度最小化控制；功率传递最小化控制
Key words：stiffened plate vibration; stochastic vibration; concentrated added mass; active control; minimum acceleration control; minimum power transmission control
基金项目：国家自然科学基金资助项目（50379046）;教育部博士点基金资助项目（A50221）
中文摘要
从带有附加集中质量加肋板的力学简化模型出发， 推导给出了该模型的随机功率谱密度， 并分析了系统随机振动响应的其他统计数字特征： 均值、均方值、 互相关函数和协功率谱密度。 引入最小化加速度和最小化振动功率传递两类不同的控制方法对模型在随机信号输入的工况下做出了优化控制， 并对控制前后的系统响应做了振动仿真模拟。仿真结果表明两种控制方法均能有效地抑制系统的随机振动， 对激振力和误差传感器都确定已知的工况， 可以通过仿真试验得到随机激励情况下的控制作动器的位置及控制力大小， 为工程实践提供了有价值的参考。
英文摘要
Based on the model of stiffened plates with concentrated added mass, a study of the stochastic vibration was carried out, and system’s mean value, mean square value, cross-correlation function, cross-spectral density function were calculated. Two mathematical models of active control were proposed and compared on the basis of simulating the system vibration. Minimum acceleration method and minimum power transmission method were employed to investigate the control effects under random forces. The result showed that the presented methods could control the stochastic vibration effectively. The optimal position and magnitude of the control forces could also be figured out if the stimulant forces and the reference points were known, providing a basis for the practical project.
【关闭】
