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力学学报  2015 

欧拉-伯努利梁运动场的正交性及其能量传导特性分析

DOI: 10.6052/0459-1879-14-116, PP. 135-146

Keywords: 功率流,振导,正交性,欧拉—伯努利梁,泛函分析

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Abstract:

从无阻尼欧拉—伯努利梁振动方程解析解出发,推导了有限长梁的关于谱系数的时间—空间平均能量和功率流表达式.在此基础上,从泛函分析观点,探讨了弯曲运动场衰减振动、行波模式分解关于能量、功率泛函的正交性.结果表明弯曲衰减振动模式和行波模式关于功率流、机械能时间—空间平均是相互独立的,即关于场能和场功率互不干涉,满足叠加原理;衰减振动场导能与行波场导能的重要区别在于功率流关于右、左衰振动模式分解不满足叠加原理,即弯曲衰减振动场间的相互"干涉"是使其具有能量传导能力的内在原因.通过右端集中阻尼器支撑的梁的稳态功率流仿真分析计算,表明低频区振动导能不可忽略,同时,衰减振动场和行波场间存在一定的能量交换现象,但随着频率升高,振动场传导能量不断下降,同时能量传导效率也不断下降.

References

[1]  Lyon RH, Maidanik G. Power flow between linearly coupled oscillators. J Acoust Soc Am, 1962, 34(5): 632-639
[2]  游进, 孟光, 李鸿光. 声振系统中高频能量流分析法研究进展. 振动与冲击, 2012, 31(11): 62-69 (You Jin, Meng Guang, Li Hongguang. Review of mid-to-high frequency energy flow analysis method for vibro-acoustic systems. J Vib Shock, 2012, 31(11): 62-69 (in Chinese))
[3]  Lyon RH, Maidanik G. Statistical methods in vibration analysis. AIAA J, 1964, 2(6): 1015-1024
[4]  Lafont T, Totaro N, LeBot A. Review of statistical energy analysis hypotheses in vibroacoustics. Proc R Soc A, 2013, 470(2162)
[5]  Nefske DJ, Sung SH. Power flow finite element analysis of dynamic systems: basic theory and application to beams. J Vib Acoust, 111(1): 94-100
[6]  Wohlever JC, Bernhard RJ. Mechanical energy flow models of rods and beams. J Sound Vib, 1992, 153(1): 1-19
[7]  Cho PE, Bernard RJ. Energy flow analysis of coupled beams. J Sound Vib, 1998, 211(4): 593-605
[8]  张猛, 陈花玲, 祝丹晖 等. 高频弯曲振动梁的随机参数能量有限元分析. 西安交通大学学报, 2013, 47(11) (Zhang Meng, Chen Hualing, Zhu Danhui, et al, Stochastic parameter energy finite element analysis of high-fequency flexural vibration beam. Journal of Xi'an Jiaotong University, 2013, 47(11) (in Chinese))
[9]  韩敬永. 基于统计能量及混合法的航天器有效载荷声振环境预示. [硕士论文]. 哈尔滨:哈尔滨工业大学, 2012 (Hang Jingyong. Research on vibro-acoutic environment prediction of space craft pay load based on statistical energy and hybrid method. [Master Thesis]. Harbin: Harbin Institute of Technology, 2012 (in Chinese))
[10]  Renno JM, Mace BR. Calculation of reflection and transmission coefficients of joints using a hybrid finite element/wave and finite element approach. J Vib Sound, 2013, 332(9):2149-2164.
[11]  姚煜中, 周俊, 饶柱石等. 充液管道能量传递途径及减振分析. 噪声与振动控制, 2011, 31(5): 13-16 (Yao Yuzhong, Zhou Jun, Rao Zhushi, et al. Analysis and assessment of vibration energy transmission of fluid-filled pipelines. Noise and Vibration Control, 2011, 31(5): 11-16 (in Chinese))
[12]  Goyder, HGD, White RG. Vibrational power flow from machines into built-up structures, part I: introduction and approximate analyses of beam and plate-like foundations. J Sound Vib, 1980, 68(1): 59-75
[13]  Miller, DW, von Flotow AH. A travelling wave approach to power flow in structural networks. J Sound Vib, 1989, 128(1): 145-162
[14]  Lase Y, Ichchou MN. Energy flow analysis of bars and beams: theoretical formulations. J Sound Vib, 1996, 192(1): 281-305
[15]  Mead DJ. Free wave propagation in periodically supported, infinite beams. J Sound Vib, 1970, 11(2): 181-197
[16]  Mead DJ. Wave propagation in continuous periodic structures: research contributions from Southampton, 1964-1995. J Sound Vib, 1996, 190(3): 495-524
[17]  von Flotow AH. Disturbance propagation in structural networks. J Sound Vib, 1986, 106(3):433-450
[18]  von Flotow AH. Traveling wave control for large space craft structures. Journal of Guidance, Control, and Dynamics, 1986, 9(4): 462-468
[19]  von Flotow AH.The acoustic limit of control of structural dynamics. In: Atluri SN, Amos AK, eds. Large Space Structures: Dynamics and Control. Berlin Heidelberg: Springer, 1988. 213-237.
[20]  程伟, 褚德超, 王大均. 梁传播的固有特性. 力学学报, 1997, 29(2): 175-181 (Cheng Wei, Zhu Dechao, Wang Dajun. Natural characteristics of wave propagation in beam. Acta Mechanica Sinica, 1997, 29(2): 175-181 (in Chinese))
[21]  朱桂东, 郑钢铁, 邵成勋. 框架结构模态分析的行波方法. 宇航学报, 1999, 20(3): 1-6 (Zhu Guidong, Zheng Gangtie, Shao Chengxun. Modal analysis for frame structures via traveling wave approach. Journal of Astronautics, 1999, 20(3): 1-6 (in Chinese))
[22]  田艳. 航天器空间桁架结构的振动特性研究. [硕士论文]. 哈尔滨: 哈尔滨工业大学, 2012 (Tian Yan. Study on vibration characteristic for space truss structure of space craft. [Master Thesis]. Harbin: Harbin Institute of Technology, 2012 (in Chinese))
[23]  周国良, 叶欣, 李小军 等. 结构动力分析中多点激励问题的研究综述. 世界地震工程, 2009, 25(4): 25-32 (Zhou Guoliang, Ye Xin, Li Xiaojun, et al. Renew on dynamic analyses of structures under multi-support excitation. World Earthquake Engineering, 2009, 25(4): 25-32 (in Chinese))
[24]  Pavi? G. Vibration damping, energy and energy flow in rods and beams: governing formulae and semi-infinite systems. J Sound Vib, 2006, 291(3-5): 932-962
[25]  李思简. 大学工程力学手册. 上海: 上海交通大学出版社, 2000. 337-337 (Li Sijian. Handbook of University Engineering Mechanics. Shanghai: SJTU Press, 2000. 337-337 (in Chinese))

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