Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity
✍ Scribed by G.W. Blankenship; A. Kahraman
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 971 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
A mechanical system exhibiting combined parametric excitation and clearance type non-linearity is examined analytically and experimentally in an effort to explain complex behavior that is commonly observed in the steady state forced response of rotating machines. The specific case of a preloaded mechanical oscillator having a periodically time-varying stiffness function and subject to a symmetric backlash condition is considered. A generalized solution methodology is proposed based on the harmonic balance method. The resulting non-linear algebraic equations are solved by using a direct Newton-Raphson technique, in which a closed form Jacobian matrix is computed using frequency domain methods. Analytical solutions are validated by comparison with numerical integration results and experimental measurements obtained from a gear dynamics test rig.