This article presents an efficient and accurate stability analysis for a flexible cam mechanism based on the multiple scales method. A shaft-cam-follower mechanism is modelled by a one-degree-of freedom model. An equivalent stiffness of a lumped parameter system is developed. Instability regions are determined through a parametric study in order to avoid dangerous working velocities. The equation of motion of the system is resolved using the implicit Newmark algorithm and numerical results are presented in the case of stable and unstable regimes. The results show a concordance between instability regions and dynamic response. The cases of modi-fied trapezoidal and cycloidal cam-profiles are treated and a comparison of the results with an experimental study of the literature is made.
In this paper, the nonlinear dynamic response in a wind turbine system is considered and the quantification of uncertainty effects on the variability of this nonlinear response is investigated. Under dynamic conditions, a lumped model with 12 degrees of freedom is proposed taking into account the uncertainty associated to the power coefficient of the input aerodynamic torque. The dynamic response of the two-stage spur gear system is obtained using ODE45 solver of Matlab. The Polynomial Chaos (PC) method is used to introduce the uncertainties on the proposed model. A comparison between the two dynamic responses given by the proposed lumped dynamic model takes into account the uncertainty. It is performed on the existed model without uncertainty. Thus, the efficiency and robustness of the proposed new methodology is evaluated.
The dynamic behavior of a cam-follower system can be altered by several errors. Errors occurring during working operation are induced by excessive load and inappropriate operating condition. In this article, an investigation on the dynamic behavior of a cam-follower system caused by the cam crack failure was carried out. The crack causes a stiffness reduction of the system. An analytical formulation of this time varying stiffness was derived. A quantification of the influence of this crack on the stiffness is carried out. The response showed amplitude modulation resulting from the presence of the crack.
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