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Research Papers

Vibration Characteristics of a Box-Type Structure

[+] Author and Article Information
Tian Ran Lin1

School of Engineering Systems, Queensland University of Technology, 2 George Street, Brisbane, Queensland 4001, Australiatrlin@qut.edu.au

Jie Pan

School of Mechanical Engineering, University of Western Australia, 35 Stirling Highway, Crawley, Western Australia 6009, Australiapan@mech.uwa.edu.au

1

Corresponding author.

J. Vib. Acoust 131(3), 031004 (Apr 21, 2009) (9 pages) doi:10.1115/1.3025831 History: Received December 09, 2007; Revised October 14, 2008; Published April 21, 2009

This paper is concerned with the understanding of vibration characteristics of a box-type structure using the finite element method as a tool. We found that mode shapes of the box structure can be classified according to their symmetrical properties, which are defined by the relative motion between the six plate panels constituting the box. The infinite number of modes of the box-type structure is divided into six groups. Each group has common features of symmetry and similar coupling mechanisms between component panels and distribution of out-of-plane and in-plane components of vibration. Local and net-volume displacements associated with each mode can be correlated with the characteristics of the box as sound sources. Large volume displacement modes resembling the simple sound sources (e.g., monopole and dipole) are identified among the low frequency modes. The distributions of in-plane and out-of-plane (including translational and rotational vibrations at the box edges) vibration components in the modes of the box are also investigated to illustrate the energy transmission mechanism between the box panels.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 13

In-plane components of mode [S(2,2)∗,AS(1,2),D_AS(1,2)]32.8 Hz.

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Figure 12

In-plane components of mode [D_AS(1,1),S(2,1),S(2,1)]17.2 Hz. Node: The panels are extended by 50 mm in all directions in order to show all vectors of the in-plane components.

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Figure 1

(a) Schematic illustration of the box-type structure and the coordinate system. (b) Schematic illustration of the terminology used for the box boundary displacements, as shown in Table 2.

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Figure 2

Mode shape distribution of mode [D_S(1,1),S(1,1)∗,S(1,1)]13.5 Hz. (a) Contour plots; (b) isometric views.

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Figure 3

Mode shape distribution of mode [S(2,2)∗,AS(1,2),D_AS(1,2)]32.8 Hz. (a) Contour plots; (b) edge isometric view; (c) isometric view.

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Figure 4

Mode shape distribution of mode [S(1,1),D_S(1,1),S(1,1)]23.0 Hz. (a) Contour plots; (b) cross section view; (c) isometric view.

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Figure 5

Mode shape distribution of mode [D_S(1,3),S(1,3)∗,S(3,1)]66.6 Hz. (a) Contour plots; (b) isometric views.

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Figure 10

The 2D cross section views of mode shape distributions of (a) mode [D_AS(2,2),AS(2,2)∗,AS(2,2)]48.9 Hz and (b) mode [AS(2,2)∗,D_AS(2,2),AS(2,2)]71.0 Hz

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Figure 11

Mode shape distribution of mode [D_AS(1,1),S(2,1),S(2,1)]17.2 Hz. (a) Contour plots; (b) edge isometric view; (c) isometric view.

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Figure 6

Modal shape distribution of mode [S(2,1),AS(1,1),D_S(1,2)]35.8 Hz. (a) Contour plots; (b) edge isometric view; (c) isometric view.

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Figure 7

Schematic illustrations of the control mechanism of the whole-body box oscillations. (a) Control mechanism of the whole box pistonlike oscillation; (b) control mechanism of the whole box rotational oscillation.

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Figure 8

Mode shape distribution of mode [D_S(2,2),AS(1,2),AS(1,2)]52.7 Hz. (a) Contour plots; (b) isometric views.

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Figure 9

Mode shape distribution of mode [AS(2,2)∗,D_AS(2,2),AS(2,2)]71.0 Hz. (a) Contour plots; (b) isometric views.

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