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Transient and steady state dynamic response of a class of slider-crank mechanisms is investigated. Specifically, the class
of mechanisms examined involves rigid members but compliant supporting bearings. Moreover, the mechanisms are subjected to
non-ideal forcing. Namely, both the driving and the resisting loads are expressed as a function of the angular coordinate
describing the crank rotation. First, an appropriate set of equations of motion is derived by applying Lagrange's equations.
These equations are strongly nonlinear due to the large rigid body rotation of the crank and the connecting rod, as well as
due to the nonlinearities associated with the bearing action and the form of the driving and the resisting loads. Consequently,
the dynamics of the resulting dynamical system is examined by solving the equations of motion numerically. More specifically,
transient response is captured by direct integration, while determination of complete branches of steady state response is
achieved by applying appropriate numerical methodologies. Initially, mechanisms whose crankshaft is supported by bearings
with rolling elements and linear stiffness characteristics are examined. Then, numerical results are presented for rolling
element bearings with nonlinear stiffness characteristics. Finally, the study is focused on mechanisms supported by hydrodynamic
bearings. In all cases, the attention is focused on investigating the influence of the system parameters on its dynamics.
Moreover, models with constant crank angular velocity are first analysed, since they provide valuable insight into some aspects
of the system dynamics. Eventually, the emphasis is shifted to the general case of non-ideal forcing, originating from the
dependence of the driving and the resisting moments on the crankshaft motion. 相似文献
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