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具有强扰动程度的振动局域化现象研究

Vibration localization with strong disturbance
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摘要 振动局域化效应是非周期结构的典型特征,而扰动程度是衡量结构非周期性的重要指标。为研究强扰动程度对振动传递特性影响的一般规律,首先以弹簧振子系统为例,采用模态分析法和基于统计理论的波传递法计算强局域化系数。同时基于通频带近似的等效方法,将一维系统的结论应用到二维结构,推导出非周期环肋圆柱壳的强局域化系数。研究结果实现了强扰动程度下振动局域化系数的定量计算,所得结论可为通过增加扰动程度而降低结构的振动传递性能提供理论支撑。 Vibration localization effect is typical characteristics of non-periodic structures,while degree of disturbance is an important index to measure the aperiodicity of structures.Here,to study general laws of effects of strong disturbance on vibration transmission characteristics,firstly,taking a spring-oscillator system as an example,the modal analysis method and the wave transmission method based on the statistical theory were used to calculate strong localization coefficient.Meanwhile,based on the equivalent method of passband approximation,conclusions of 1-D system were applied in 2-D structure to derive strong localization coefficient of non-periodic ring ribbed cylindrical shell.It was shown that the study results can realize quantitative calculation of vibration localization coefficient under strong disturbance;conclusions obtained here can provide theoretical support for reducing vibration transmission performance of structures by increasing disturbance degree.
作者 赵鹏 纪刚 周其斗 ZHAO Peng;JI Gang;ZHOU Qidou(College of Naval Architecture and Ocean Engineering,Naval University of Engineering,Wuhan 430033,China)
出处 《振动与冲击》 EI CSCD 北大核心 2023年第1期232-237,291,共7页 Journal of Vibration and Shock
基金 国防预研基金资助项目(9550204010404)。
关键词 强扰动 强局域化系数 弹簧振子链 环肋圆柱壳 strong disturbance strong localization coefficient spring-oscillator chain ring-ribbed cylindrical shell
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