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Article
Publication date: 12 November 2010

Xiu‐hui Hou, Zi‐chen Deng and Jia‐xi Zhou

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

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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.

Details

Multidiscipline Modeling in Materials and Structures, vol. 6 no. 4
Type: Research Article
ISSN: 1573-6105

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