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

G.W. Blankenship (1) , A. Kahraman (1)

1 GM - General Motors Corporation

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.

Domaines: Sciences de l'ingénieur [physics]

G.W. Blankenship, A. Kahraman. Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity. Journal of Sound and Vibration, 1995, 185 (5), pp.743 - 765. ⟨10.1006/jsvi.1995.0416⟩. ⟨hal-01389915⟩