Frequency and response analysis for cellular honeycomb structures under Hamilton system

Xiu‐hui Hou (Department of Engineering Mechanics, Northwestern Polythechnical University, Xi'an, China)
Zi‐chen Deng (Department of Engineering Mechanics, Northwestern Polythechnical University, Xi'an, China State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, China)
Jia‐xi Zhou (College of Mechanical & Vehicle Engineering, Hunan University, Changsha, China)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Publication date: 12 November 2010

Abstract

Purpose

The purpose of this paper is to analyze the frequency and response of hexagonal cell honeycomb structures under Hamilton system.

Design/methodology/approach

Taking orthotropic sandwich cylinder as the analytical model, the basic equilibrium equations are transformed into Hamilton system, where the canonical transformation, the extended Wittrick‐Williams algorithm and the precise integration method can be applied to calculate the frequency and the responses of the honeycomb sandwich structures.

Findings

For the cellular structures, the basic frequency is the most important which can be affected greatly by the wave number. It is also found that the displacement mode shape is dominated by the radial displacement and the axial principal stress is much higher than that of the radial or the circumferential principal stress for the sandwich cylinders.

Originality/value

A new solution procedure is proposed for the cellular structures by constructing the Hamilton matrix in the cylindrical coordinates. The analysis system is thus transformed from Lagrange to Hamilton.

Keywords

Citation

Hou, X., Deng, Z. and Zhou, J. (2010), "Frequency and response analysis for cellular honeycomb structures under Hamilton system", Multidiscipline Modeling in Materials and Structures, Vol. 6 No. 4, pp. 461-474. https://doi.org/10.1108/15736101011095136

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Publisher

:

Emerald Group Publishing Limited

Copyright © 2010, Emerald Group Publishing Limited

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