Cf. Ng, TESTING TECHNIQUES FOR CHAOTIC VIBRATION OF BUCKLED AIRCRAFT STRUCTURES, Proceedings of the Institution of Mechanical Engineers. Part G, Journal of aerospace engineering, 210(3), 1996, pp. 281-290
A simple model of non-linear and chaotic dynamic behaviour of buckled
plates is presented. Special procedures are described for setting up t
he 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 analy
sing the results. Case studies of tests with shaker direct attachment,
base excitation, and acoustic excitation are used to illustrate the p
rocedures and ways to solve the various problems. The important non-li
near dynamic characteristics of curved plates are found to be the tran
sition from softening spring effects to hardening spring effects throu
gh the intermediate region of chaotic motion. The chaotic motion is a
large amplitude dynamic snap-through motion between the two static buc
kled positions of the plate.