| Issue |
MATEC Web Conf.
Volume 237, 2018
2018 3rd International Conference on Design, Mechanical and Material Engineering (D2ME 2018)
|
|
|---|---|---|
| Article Number | 01011 | |
| Number of page(s) | 5 | |
| Section | Chapter 1: Mechanical Engineering | |
| DOI | https://doi.org/10.1051/matecconf/201823701011 | |
| Published online | 26 November 2018 | |
Vibration of thin cylindrical shells on an elastic foundation coupled with multiple discrete stiffnesses
1 School of Mechanical Engineering, Shandong University, Jinan 250061, China
2 Key Laboratory of High-efficiency and Clean Mechanical Manufacture at Shandong University, Ministry of Education, Jinan 250061, China
a Corresponding author: yfc26@163.com
Vibration properties of thin cylindrical shells on an elastic foundation coupled with multiple discrete stiffnesses were investigated. The discrete stiffnesses were modelled as external forces. Hamilton’s principle was applied to deduce the governing equations. To study the natural vibration properties, the wave-like solutions were applied. Then the governing equations were discretized in matrix form to obtain the eigenvalues. The properties of natural frequencies and vibration modes of thin cylindrical shells were studied. The results illustrate that each natural frequency of cylindrical shells is mainly dominated by one vibration mode, that is, flexural, longitudinal and shear modes. The natural frequency will get closer with the increase of circumferential wave numbers. The influences of several parameters to vibration properties of cylindrical shells were also investigated.
© The Authors, published by EDP Sciences, 2018
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