β Scribed by F. Farahanchi; S.W. Shaw
No coin nor oath required. For personal study only.
The problem of a planar slider-crank mechanism with clearance at the sliding (prismatic) joint is investigated. In this study the influence of the clearance gap size, bearing friction, crank speed and impact parameters on the response of the system are investigated. Three types of responses are observed: chaotic, transient chaos and periodic. It is shown that chaotic motion is prevalent over a range of parameters which corresponds to high crank speeds and/or low values of bearing friction with relatively ideal impacts. Periodic response is generally observed at low crank speeds and also at low values of the coefficient of restitution. PoincarΓ© maps and statistical profiles of the impact locations and severity are used to characterize the motion and to obtain information regarding possible patterns of wear due to repeated impacts. As expected, chaotic motions lead to quite uniform distributions of impacts, while periodic motions lead to highly localized impact locations. It is also shown that the system response is essentially unpredictable over a wide range of parameters, thus casting doubt on the usefulness of such models for accurate prediction purposes.
π SIMILAR VOLUMES
Previous research in "nite element formulation of #exible mechanisms usually neglected high order terms in the strain-energy function. In particular, the quartic term of the displacement gradient is always neglected due to the common belief that it is not important in the dynamic analysis. In this p
Link mechanisms designed for time-dependent output on the assumption of uniform input velocity will not perform satisfactorily due to fluctuation of input velocity under the actual working conditions. Synthesis, taking the input velocity fluctuations into consideration, is very difficult. Incorporat
Symbolic and numerical techniques are used to model and analyze the dynamic behavior of a slider-crank mechanism with a flexible coupler and drive train. The equations of motion are generated using a symbolic algorithmic procedure based on the principle of virtual work. The flexibility of the drive