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Abstract

A simple model of non-linear and chaotic dynamic behaviour of buckled plates is presented. Special procedures are described for setting up the tests of flat and buckled plates with vibrations of large amplitude. The difficulties of measuring chaotic motion include the problems in designing the clamping fixtures, controlling the excitation and analysing the results. Case studies of tests with shaker direct attachment, base excitation, and acoustic excitation are used to illustrate the procedures and ways to solve the various problems. The important non-linear dynamic characteristics of curved plates are found to be the transition from softening spring effects to hardening spring effects through the intermediate region of chaotic motion. The chaotic motion is a large amplitude dynamic snap-through motion between the two static buckled positions of the plate.

Keywords

testing techniques aircraft structures chaotic motion measurement

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References

Vaicaitis

Non-linear response and sonic fatigue of national aerospace plane surface panels. J. Aircraft, 1994, 31(1), 10–18.

Leatherwood

Clevenson

Powell

C. A.

Acoustic testing of high-temperature panels. J. Aircraft, 1992, 29(6), 2632–2640.

Suemasu

Kobayashi

An analytical study of shear buckled rectangular panels to random excitation. Computers and Structures, 1984, 19(1–2), 213–223.

Locke

Mei

A finite element formulation for the large deflection random response of thermally buckled beams. AIAA/ASME/ASCE/AHS Thirtieth Structures, Structural Dynamics and Materials Conference, Mobile, A.L., USA. 1989, paper number 89 1354.

Frendi

Robinson

Effect of acoustic coupling on random and harmonic plate vibrations. AIAA Journal, 1993, 31(11), 2630–2638.

Lewandowsk

Non-linear free vibration of beams by the finite-element and continuation methods. J. Sound Vibr., 1994, 170(5), 577–593.

Mastrello

Frendi

Brown

D. E.

Non-linear vibration and radiation from a panel with transition to chaos induced by acoustic waves. AIAA Journal, 1992, 30(11), 2632–38.

Dowell

E. H.

Flutter of a buckled plate as an example of chaotic motion of a deterministic autonomous system. J. Sound Vibr., 1982, 85, 333–344.

Zavodney

L. D.

A theoretical and experimental investigation of parametrically excited non-linear mechanical systems. PhD dissertation, Virginia Polytechnic Institute and State University, 1987.

10.

Tseng

W. Y.

Dugundji

Non-linear vibrations of a buckled beam under harmonic excitation. J. Appl. Mech., 1970, 37, 292–297.

11.

Yamaki

Otomo

Chiba

Non-linear vibrations of clamped circular plate with initial deflection and initial displacement, Pt. II Experiment. J. Sound Vibr., 1981, 79(1), 43–59.

12.

Mei

Wentz

K. R.

Analytical and experimental non-linear response of rectangular panels to acoustic excitation. AIAA Twenty-third Structures, Structural Dynamics and Materials conference, New Orleans, LA, USA, May 1982, pp. 514–520.

13.

Clarkson

B. L.

Acoustic fatigue test facilitites. Ch. 20 Noise and acoustic fatigue in aeronautics, 1968 (John Wiley and Sons, New York).

14.

C. F.

Non-linear and snap-through responses of curved panels to intense acoustic excitation. J. Aircraft, 1989, 26(3), 281–288.

15.

C. F.

The analysis of non-linear dynamic behaviour (including snap-through) of postbuckled plates by simple analytical solution. NASA TM 89165, April 1988.

16.

C. F.

Theoretical and experimental studies of thermal-acoustic response of aircraft structures. Proceedings of Asia-Pacific Vibration Conference 93, Kitakyushu, Japan, November 1993.

17.

C. F.

Cleveson

High intensity acoustic tests of a thermally stressed aluminium plate in TAFA. J. Aircraft, 1991, 28(4), 410–419.

Testing Techniques for Chaotic Vibration of Buckled Aircraft Structures

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