Abstract:Based on the method of reverberation-ray matrix, established the reverberation-ray matrix of frame by force balance ,displacement compatibility conditions of joints and the relationship between displacements at two ends of each element. on this basis,Analysed the characteristics of elastic wave propagation in frame. Discussed the basic waveform characteristics of the incident wave , reflected wave and transmitted wave. Solved the natural vibration frequency of the frame and comparing with the result by the finite element method, showed the results are very close. verified the effectiveness of this method.
陈进浩1,余云燕2. 框架结构瞬态波动响应及自振频率的回传射线矩阵法分析[J]. 振动与冲击, 2016, 35(10): 83-90.
CHEN Jinhao1 YU Yunyan2. Analysis of transient response and natural frequency of frame by the reverberation-ray matrix method. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(10): 83-90.
[1] Howard S M,Pao Y H. Analysis and experiments on stress waves in planar trusses[J].Journal of Engineering Mechanics,1998,124(8):884-891.
[2] Yih-Hsing Pao.Wei-Qiu Chen. Elastodynamic theory of framed structures and reverberation-ray matrix analysis[J]. Acta Mech ,2009,204:
61–79.
[3] 余云燕,鲍亦兴,陈云敏.有损伤框架结构中波动分析[J].振动工程学报,2004,17(1):20-24.
YU Yun-yan, PAO Yi-xing, CHEN Yun-ming. Wave analysis of damaged frame structures[J]. Journal of vibration engineering,2004,17(1):20-24.
[4] 余云燕.多缺陷框架结构的波动响应[J].振动工程学报,2008,21(5):511-515.
YU Yun-yan. Dynamic response of multi-defective frame structure[J]. Journal of vibration engineering,2008,21(5):511-515.
[5] 余云燕.回传射线矩阵法分析埋置框架的瞬态动力响应[D].杭州:浙江大学,2004.
YU Yun-yan. Transient response analysis of frame structure embedded partially in soil by the method of reverberation-ray matrix[D]. Hangzhou:Zhejiang University, 2004
[6] 余云燕,鲍亦兴,陈云敏.埋置框架质量检测的探讨[J].力学学报,2006,38(3):339-346.
YU Yun-yan, PAO Yi-xing, CHEN Yun-ming.Disscussion on quality testing of frame structure embedded partially in soil[J]. Chinese Journal of Theoretical and Applied Mechanics,2006,38(3):339-346.
[7] 余云燕.有缺陷埋置框架的波动响应及影响因素研究[J].振动工程学报,2007,20(2):194-199.
YU Yun-yan. Studies on wave response of a defected framestructure embedded partially in soil and influence factors [J]. Journal of Vibration Engineering, 2007 ,20(2): 194-199.
[8] 田家勇,苏先樾.刚架结构的节点质量阻尼减振分析[J].固体力学学报,2002,23(1): 47-53
TIAN Jia-yong, SU Xian-yue. The vibration suppression of joint massdamping in frame structures [J]. Acta Mechnica Solida Sinica, 2002,23(1): 47-53.
[9] 严蔚、袁丽莉.基于回传射线矩阵法的含裂缝智能梁的动态特性[J].振动与冲击,2010,29(6):101-104
YAN Wei,YUAN Li-li. Dynamic analysis of a smart cracked beam based on the reverberation matrix method[J]. Journal of vibration and shock,2010,29(6):101-104
[10] 黄锦雄、朱幸科、韩卫东. 基于Timoshenko梁理论的深水油气井套管柱地震响应分析[J]. 振动与冲击,2013,32(7): 159-164
HUANG Jin-xiong、ZHU Xing-ke、HAN Wei-dong. Seismic response of casing string of an oil and gas well in deepwater based on Timoshenko beam theory[J]. Journal of vibration and shock,2013,32(7):159-164
[11] 郭永强.回传波射矩阵法的理论及其应用[D].杭州:浙江大学,2008.
GUO Yong-qiang. The method of reverberation-ray matrix and its applications[D]. Hangzhou:Zhejiang University, 2008
[12] 郭永强.复杂空间框架结构的自振特性分析[J].振动工程学报,2008,21(3):261-267.
GUO Yong-qiang. Dynamic property analysis of complex space structures[J]. Journal of vibration engineering,2008,21(3):261-267.
[13] 缪馥星. 框架振动和瞬态响应的回传波射矩阵法研究[D].上海:上海交通大学,2009.
MIAO Fu-Xing. A study on the vibration and transient response of frames by the method of reverberation ray matrix[D].Shanghai:Shanghai Jiao Tong University,2009