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RESEARCH PAPERS

Wind Tunnel Test on Cable Dome of Geiger Type

[+] Author and Article Information
Zhi-hong Zhang, Yukio Tamura

Wind Engineering Research Center, Tokyo Polytechnic University, Atsugi city, Iiyama 243-0297, Japan

J. Comput. Nonlinear Dynam 2(3), 218-224 (Jan 23, 2007) (7 pages) doi:10.1115/1.2730848 History: Received March 21, 2006; Revised January 23, 2007

Abstract

This paper presents preliminary results of an aeroelastic wind tunnel test on a cable dome. The structural design of the model is given in detail. Similarity requirements based on dimensional analysis are discussed, including Froude number, Cauchy number, and Scruton number. Structural tests are conducted on the aeroelastic model. Dynamic instability subject to harmonic excitation like a single-degree-of-freedom hardening system is verified. Both odd and even frequency components are excited when the shaking table shakes at $29Hz$. For the one-degree-of-freedom Duffing model, even frequency components will be impossible due to the symmetry of the motion equation if symmetry-breaking bifurcation behaviors do not occur. Phase plane is checked and discussed when the shaking table shakes at $7Hz$. A strange attractor appears to exist on the basis of the Poincare map. Some statistical results of wind tunnel tests are presented. The possibility of aeroelastic instability of the cable dome is discussed.

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Figures

Figure 1

Cable dome model

Figure 2

Membrane cutting pattern

Figure 3

Nodes and elements of a single frame

Figure 4

Measurement points and instrumentation

Figure 5

Scheme of a single frame

Figure 6

Cable dome model on the shaking table

Figure 7

Translational acceleration (z direction) at A2JD (1–40Hz): (a) time history; (b) power spectrum

Figure 8

Vertical acceleration (y direction) at A2JD (74s-75s); (a) phase plane of E2JD, harmonic 7Hz; (b) Poincare section, E2JD, harmonic 7Hz; (c) Poincare section, E2JD, harmonic 7Hz; (d) power spectral density of the displacement, E2JD, harmonic 7Hz

Figure 9

Phase plane and Poincare section at E2JD (z direction) and power spectral density of the displacement of E2JD (z direction)

Figure 10

Statistical values of acceleration at A1JD and A2JD. (a) Mean value of acceleration at A1JD and A2JD. (b) Standard derivation of acceleration at A1JD and A2JD. (c) Maximum value of acceleration at A1JD and A2JD. (d) Minimum value of acceleration at A1JD and A2JD.

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