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Symplectic analysis for the effects of material distribution and relative density on dynamic properties of sandwich tubes with honeycomb cores

Kai Zhang (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xian, China)
Zichen Deng (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xian, China)
Junmiao Meng (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xian, China)
Xiaojian Xu (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xian, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 7 March 2016

189

Abstract

Purpose

The purpose of this paper is to provide an efficient numerical solution for dynamic properties of sandwich tubes with honeycomb cores and investigate the effects of material distribution and relative density on the dynamic properties of the structure.

Design/methodology/approach

By introducing dual variables and applying the variational principle, the canonical equations of Hamiltonian system are constructed. The precise integration algorithm and extended Wittrick-Williams algorithm are adopted to solve the equations and obtain the dispersion relations of sandwich tubes. The effects of the material distribution and the relative density on the non-dimensional frequencies of the sandwich tubes are investigated.

Findings

The validity of the procedure and programs is verified by comparing with other works. Dispersion relations of the typical sandwich tubes are obtained. Dramatic differences are observed as the material distribution and relative density of the sandwich structures vary.

Originality/value

The work gains insight into the role of symplectic analysis in the structural dynamic properties and expects to provide new opportunities for the optimal design of sandwich tubes with honeycomb cores in engineering applications.

Keywords

Acknowledgements

Funding for this work has been provided by the National Basic Research Program of China (2011CB610300), the National Natural Science Foundation of China (11502202, 11372253, 11432010 and 11372252), the Doctoral Program Foundation of Education Ministry of China (20126102110023), the Fundamental Research Funds for the Central Universities (310201401JCQ01001, 3102015ZY036).

Citation

Zhang, K., Deng, Z., Meng, J. and Xu, X. (2016), "Symplectic analysis for the effects of material distribution and relative density on dynamic properties of sandwich tubes with honeycomb cores", Engineering Computations, Vol. 33 No. 1, pp. 156-170. https://doi.org/10.1108/EC-06-2014-0127

Publisher

:

Emerald Group Publishing Limited

Copyright © 2016, Emerald Group Publishing Limited

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