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| Free vibration of rubber band slider system on air cushion track |
| HE Songlin1, HUANG Yan2 |
1.School of Mechanical and Electrical Engineering, Kunming University, Kunming 650214, China；
2.School of Physical Science and Technology, Kunming University, Kunming 650214, China |
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Abstract Free vibration tests of rubber band slider system was conducted on air cushion track to measure the system’s vibration period and logarithmic decrement. The large difference between theoretical analysis and test results showed that the free vibration of rubber band slider system can’t be treated as viscous damping vibration of a harmonic oscillator. Then, a free vibration model of oscillator containing fractional derivative was proposed. The second order ordinary differential equation with fractional derivative term was solved using the numerical method and the average one. It was found that the theoretical analysis results of this model are consistent with the test ones to reveal it is feasible to describe mechanical properties of rubber band using elastic coefficient, viscoelasticity and viscoelastic coefficient.
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Received: 31 October 2019
Published: 15 February 2021
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