Study on response characteristics for forced vibrations of thin cylindrical shell
An analysis was made to study on response characteristics for forced vibrations of a clamp-free boundary condition under a radial harmonic excitation force or a radial impact excitation force, Firstly, a dynamic model of a thin cylindrical shell was constructed according to Love’s shell theory. Secondly, taking damping into account, the dynamic equations were solved based on modal superposition method and the modal coordinates vibration equations were acquired, so as to get the vibration response results when the cylindrical shell was subject to a radial harmonic excitation force or a radial impact excitation force. Finally, the variation of response amplitudes and phases was got in different locations of the cylindrical shell through a specific example, and the influence rules were compared when modal damping ratio and the excitation force value were different.
1. School of Mechanical Engineering and Automation, Northeast University, Shenyang 110819, China;
2. School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan 114051, China
Abstract: An analysis was made to study on response characteristics for forced vibrations of a clamp-free boundary condition under a radial harmonic excitation force or a radial impact excitation force, Firstly, a dynamic model of a thin cylindrical shell was constructed according to Love’s shell theory. Secondly, taking damping into account, the dynamic equations were solved based on modal superposition method and the modal coordinates vibration equations were acquired, so as to get the vibration response results when the cylindrical shell was subject to a radial harmonic excitation force or a radial impact excitation force. Finally, the variation of response amplitudes and phases was got in different locations of the cylindrical shell through a specific example, and the influence rules were compared when modal damping ratio and the excitation force value were different.
王宇1, 2, 罗忠1. 薄壁圆柱壳构件受迫振动的响应特征研究[J]. 振动与冲击, 2015, 34(7): 103-108.
Wang Yu 1, 2,Luo Zhong 1. Study on response characteristics for forced vibrations of thin cylindrical shell. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(7): 103-108.
[1] 吴家龙. 弹性力学[M]. 北京: 高等教育出版社, 2001.
WU Jia-long. Elastic mechanics[M]. Beijing: Higher Education Press, 2001. (in Chinese)
[2] Huang S C, Soedel W. On the forced vibration of simply supported rotating cylindrical shells[J]. The Journal of the Acoustical Society of America, 1988, 84(1): 275-285.
[3] Christoforou A P, Swanson S R. Analysis of simply-supported orthotropic cylindrical shells subject to lateral impact loads[J]. Journal of applied mechanics, 1990, 57(2): 376-382.
[4] Li S M, Zhong H Z, Ruiz C. Transient response of a cylindrical shell of finite length to transverse impact[J]. International journal of solids and structures, 1991, 27(4): 485-503.
[5] Young-Shin Lee and Ki-Du Lee. On the dynamic response of laminated circular cylindrical shells under impulse loads[J]. Computers and Structures, 1997, 63(1): 149-157.
[6] 黄承义, 郑际嘉, 刘土光. 两端简支圆柱壳在径向冲击下的动力响应分析[J]. 华中理工大学学报, 1997, 25(A01): 51-54.
HUANG Cheng-yi, ZHENG Ji-jia, Liu Tu-guang. The Dynamic Response of a Simply Supported Short Cylindrical Shells under Lateral Impulsive Loading [J]. Journal of Huazhong university of science and technology, 1997, 25: 51-54. (in Chinese)
[7] 李学斌. 圆柱壳稳态动力响应分析[J]. 舰船科学技术. 2000,6:1-5.
Li Xue-bin. Steady-state dynamic response analysis of a cylindrical shell [J]. Ship Science and Technology, 2000, 6:1-5. (in Chinese)
[8] 李学斌. 受径向冲击载荷圆柱壳瞬态响应的收敛性分析和比较研究[J]. 舰船科学技术, 2006, 28(6): 42-47.
LI Xue-bi. Analysis and comparative study of circular cylindrical shell subjected to radial impact [J]. Ship Science and Technology, 2006, 28(6): 42-47. (in Chinese)
[9] 姚熊亮,叶曦.求解圆柱壳稳态谐响应的微分求积单元法[J].振动与冲击.2013, 32(16):158-163,175. YAO Xiong-liang, YE Xi. DQEM for solving steady-state harmonic response of a cylindrical shell [J]. Journal of Vibration and Shock, 2013,32(16):158-163,175.
[10] 纪冲,龙源,方向,等.钢质圆柱壳在侧向局部冲击荷载下的变形及失效破坏[J]. 振动与冲击. 2013, 32(15):121-155,137.
JI Chong,LONG Yuan,FANG Xiang, et al. Dynamic response and perforation failure of cylindrical shell subjected to lateral local impulsive loading [J]. Journal of Vibration and Shock, 2013, 32(15):121-155,137.
[11] Hua Li, Khin Yong Lam, Teng Yong Ng. Rotating Shell Dynamics [M], Elsevier, 2005.
[12] Soedel W. Vibrations of Shells and Plates [M], New York: Marcel Dekker Inc, 2004.