The method of equivalent linearization has been extended to obtain periodic responses of harmonically excited, piecewise non-linear oscillators. A dual representation of the solution is used to enhance greatly the algebraic simplicity. The stability analysis of the solutions so obtained is carried o
✦ LIBER ✦
Analytical approximation of the primary resonance response of a periodically excited piecewise non-linear–linear oscillator
✍ Scribed by J.C. Ji; Colin H. Hansen
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 288 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
PERIODIC RESPONSE OF PIECEWISE NON-LINEA
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⚖ 405 KB
The exact differential equation for the energy envelope of a randomly excited non-linear oscillator is approximated by a time-averaging procedure. The resulting equation shows that, if the damping is sufficiently light and the correlation time scale of the excitation process is sufficiently small, t