Wave based method (WBM) is presented to analyze the free and forced vibration of cylindrical shells with discontinuity in thickness. The hull is first divided into multiple segments according to the locations of thickness discontinuity and/or driving points, and then the Flügge theory is adopted to describe the motion of cylindrical segments. The dynamic field variables in each segment are expressed as wave function expansions, which accurately satisfy the equations of motion and can be used to analyze arbitrary boundary conditions, e.g., classical or elastic boundary conditions. Finally, the boundary conditions and interface continuity conditions between adjacent segments are used to assemble the final governing equation to obtain the free and forced vibration results. By comparing with the results existing in open literate and calculated by finite element method (FEM), the present method WBM is verified. Furthermore, the influences of the boundary conditions and the locations of thickness discontinuity on the beam mode frequency and fundamental frequency are discussed. The effects of the direction of external force, location of external point force, and the structural damping on the forced vibration are also analyzed.
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October 2015
Research-Article
Wave Based Method for Free and Forced Vibration Analysis of Cylindrical Shells With Discontinuity in Thickness
Meixia Chen,
Meixia Chen
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
Search for other works by this author on:
Kun Xie,
Kun Xie
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xiekun79@163.com
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xiekun79@163.com
Search for other works by this author on:
Kun Xu,
Kun Xu
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xukun@hust.edu.cn
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xukun@hust.edu.cn
Search for other works by this author on:
Peng Yu
Peng Yu
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: yup_naoe@hust.edu.cn
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: yup_naoe@hust.edu.cn
Search for other works by this author on:
Meixia Chen
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: chenmx26@hust.edu.cn
Kun Xie
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xiekun79@163.com
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xiekun79@163.com
Kun Xu
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xukun@hust.edu.cn
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: xukun@hust.edu.cn
Peng Yu
School of Naval Architecture
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: yup_naoe@hust.edu.cn
and Ocean Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: yup_naoe@hust.edu.cn
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 29, 2014; final manuscript received March 3, 2015; published online April 27, 2015. Assoc. Editor: Marco Amabili.
J. Vib. Acoust. Oct 2015, 137(5): 051004 (14 pages)
Published Online: April 27, 2015
Article history
Received:
October 29, 2014
Revision Received:
March 3, 2015
Citation
Chen, M., Xie, K., Xu, K., and Yu, P. (April 27, 2015). "Wave Based Method for Free and Forced Vibration Analysis of Cylindrical Shells With Discontinuity in Thickness." ASME. J. Vib. Acoust. October 2015; 137(5): 051004. https://doi.org/10.1115/1.4029995
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