The response of a single-degree-of-freedom oscillator that can impact a surface with prescribed harmonic motion is investigated through experimental and numerical means. The test apparatus consisted of a stainless steel cantilever beam that could collide with a voice coil shaker which was driven at
PERIODIC MOTIONS OF AN IMPACT OSCILLATOR
โ Scribed by C.N. Bapat
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 289 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Non-linear equations governing N impact periodic motions of a single-degree-of-freedom oscillator under a sinusoidal and bias force contacting rigid amplitude constraints on one or both sides have been developed with constant and velocity dependent coefficients of restitution. They also govern period doubling motions. Additionally, exact closed form expressions have been developed for one and two equispaced and non-equispaced impacts per cycle motions. Theoretical predictions agreed with previous results and with results obtained using a numerical simulation approach. Effects of amplitude and frequency of sinusoidal force, bias force, damping, and variable and constant coefficients of restitution on periodic motions are investigated.
๐ SIMILAR VOLUMES
It is well known that non-periodic behavior is one of the most puzzling characteristics of chaotic oscillators. So far chaotic dynamical systems have been investigated in Euclidean spaces. In this paper, the concept of non-autonomous dynamical systems and that of Hausdor! phase spaces are proposed.