Abstract
This paper presents experimental results on chaotic vibrations of a post-buckled beam carrying a concentrated mass. The concentrated mass is attached at the point apart from the center of the beam. The beam is clamped at both ends to a base frame. The beam is deformed into a post-buckled configuration by an initial axial displacement. The displacement is controlled by the thermal elongation of the beam to the base frame. The chaotic vibrations of the post-buckled beam appear within a restricted range of exciting frequency. The chaotic responses are generated in the sub-harmonic resonance regions of both 1/2 and 1/3 orders. The maximum Lyapunov exponent is 1.4. The chaos attractor of the dynamic response is focused clearly onto the Poincare section. The correlation dimension saturates to d=3.6 within the embedded dimension up to 10 or more. Other chaotic responses appear at the regions of a superharmonic resonance of the second order and the ultra-subharmonic resonance of fourth to fifth order corresponding to the lowest mode of vibration.
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