Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity

Autor: Blankenship, G.W., Kahraman, A.
Zdroj: Journal of Sound and Vibration; September 7, 1995, Vol. 185 Issue: 5 p743-765, 23p
Abstrakt: 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.
Databáze: Supplemental Index