| 线耦合平板瞬态高频振动响应预报 |
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| 引用本文： | 张婧,李贤徽.线耦合平板瞬态高频振动响应预报[J].声学学报,2018,43(1):61-68. |
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| 作者姓名： | 张婧 李贤徽 |
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| 作者单位： | 北京市劳动保护科学研究 所环境噪声与振动北京市重点实验室 北京 100054 |
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| 基金项目： | 国家自然科学基金项目(11174041)北京市科学技术研究院创新团队项目(IG201503C1)资助 |
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| 摘 要： | 提出了一种用于线耦合平板瞬态高频振动分析的预报方法.基于瞬态统计能量分析,从子系统能量平衡方程的动力学相似性,推导出了时域尺度变换法则:在时间尺度上进行缩尺变换,而损耗因子相应地成反比变换。在此基础上,针对线耦合平板的能量传递特点,导出了两种不同变换方式:一种对结构的材料参数进行变换,另一种对结构的几何参数进行变换。采用两种连接方式的线耦合平板模型对时域尺度变换方法进行数值验证,结果表明该方法能以较高的计算效率准确获得结构的瞬态高频振动响应。
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| 关 键 词： | 尺度变换 高频 瞬态响应 声振分析 |
| 收稿时间： | 2016-06-04 |
Prediction of transient high-frequency vibration response of line-coupled plates |
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| Institution: | Beijing Municipal Institute of Labor Protection, Beijing Key Laboratory of Environment Noise and Vibration Beijing 100054 |
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| Abstract: | A prediction method is proposed for the transient vibration analysis of line-coupled plates at high frequencies.Based on transient statistical energy analysis, a time-domain scaling law is derived from the dynamic similitude of transient energy equilibrium equations for subsystems. It features a damping loss factor scaled inversely proportional to the scaling of the time variable. On this basis, specific scaling forms for line-coupled plates are derived. Two completely different realizations of the specific scaling forms are presented. One only scales material parameters and the other dimension parameters. Numerical validations on two kinds of line-coupled plates demonstrate that this approach can efficiently predict the transient vibration response. |
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