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。
关键词：强扰动；强局域化系数；弹簧振子链；环肋圆柱壳
Abstract
The vibration localization effect is typical of an aperiodic structure, and the degree of perturbation is an important indicator of structural aperiodicity. In order to study the general law of strong disturbance degree on vibration transfer characteristics, the strong localization coefficient is calculated by modal analysis method and wave transfer method based on statistical theory, taking spring oscillator system as an example. Meanwhile, based on equivalent method of passband approximation, the conclusions of one-dimensional system are applied to two-dimensional structure to derive strong localization coefficient of aperiodic ring-rib cylindrical shell. The results achieve quantitative calculation of vibration localization coefficient under strong disturbance degree, and the conclusions obtained can provide theoretical support for reducing vibration transmission performance of structure by increasing disturbance degree.
关键词
强扰动 /
强局域化系数 /
弹簧振子链 /
环肋圆柱壳
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Key words
Strong disturbance /
strong localization coefficient /
spring oscillator chain /
ring-ribbed cylindrical shell
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参考文献
[1] 谭路,纪刚,周其斗等.结构不等间距布置对圆柱壳结构声学性能的影响[J].振动与冲击,2017,36(24):189-194.
TAN Lu, JI Gang, ZHOU Qidou，et al. Influence of unequal spacing arrangement of structures on structural acoustic characteristics of cylindrical shells[J]. Journal of Vibration and Shock, 2017, 36(24): 189-194.
[2] Hodges C H. Confinement of Vibration by Structural Irregularity[J]. Journal of Sound and Vibration, 1982，82(3)：411-424.
[3] D Bouzit C Pierre. Vibration confinement phenomena in disordered mono-coupled multi-span beams [J]. Journal of Vibration and Acoustics, 1992, 114(4): 521-530.
[4] Elishakoff，Y.W.LI. Buckling mode localization in elastic plates due to misplacement in the stiffener location[J]. Chaos, Solifom & Frmmls,1995,1517-1731.
[5] Douglas M Photiadis Brian H. Houston. Anderson localization of vibration on a framed cylindrical shell[J]. The Journal of Acoustical Society of America,1999,106(3):1377-1391.
[6] A transfer matrix approach to free vibration localization in mistuned blade assemblies[J]. Journal of Sound and Vibration,1996,197(5):589-618.
[7] Sang H S, Lee S J, Hong H Y. Statistical approach to analyze vibration localization phenomena in periodic structural systems[J]. Journal of Mechanical Science & Technology,2005, 19(7):1405-1413.
[8] Bendiksen O O. Mode localization phenomena in large space structures[J]. Aiaa Journal,1987,25(9):1241-1248.
[9] Pierre C, Cha P D. Strong mode localization in nearly periodic disordered structures[J]. AIAA Journal, 1989, 27(2):227-241.
[10] Xie W C, Ariaratnam S T. Vibration mode localization in disordered cyclic structures[J]. Journal of Sound and Vibration, 1996, 189(5):625-645.
[11] Herbert, D. C, Jones R. Localized States in Disordered Systems，Journal of Physics C Solid States Physics,1971,4(10). 1145-1161.
[12] FURSTENBERG H. Noncommuting random products[J]. Transactions of the American Mathematical Society,1963,108(3):377-428.
[13] 纪刚,李宗威,周其斗.不等间距加筋圆柱壳的振动局域化研究[J].振动工程学报,2021,34(03):592-600.
GI Gang, LI Zongwei, ZHOU Qidou. Localization of vibration on a disordered framed cylindrical shell[J]. Journal of Vibration Engineering. 2021,34(03):592-600.
[14] 陈美霞,张聪,邓乃旗等.波传播法求解低频激励下水中加端板圆柱壳的振动[J].振动工程学报,2014,27(4):842-851.
CHEN Meixia, ZHANG Cong, DENG Naiqi, et al. Analysis of the low frequency vibration of a submerged cylindrical shell with end plates based on wave propagation approach [J]. Journal of Vibration Engineering, 2014, 27(6): 842-851.
[15] Fahy F, Gardonio P. Sound and Structural Vibration: Radiation, Transmission and Response [M]. UK: Elsevier，2007.
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