A vibro-impact electromechanical system: models of the random dynamics of an embarked pendulum

R. Lima (1, 2) , R. Sampaio (2) , Christian Soize (1)

1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
2 Departamento de Eng. Mecânica

This paper analyzes the impact behavior of an embarked pendulum in a vibro-impact electromechanical system considering the existence of uncertainties in the system parameters. The electromechanical system is composed by a cart whose motion is excited by a DC motor and a embarked pendulum into this cart. The suspension point of the pendulum is fixed in cart, so that exists a relative motion between them. The influence of the DC motor in the dynamic behavior of the system is considered. The coupling between the motor and the cart is made by a mechanism called scotch yoke, so that the motor rotational motion is transformed in horizontal cart motion over a rail. The pendulum is modeled as a mathematical pendulum (bar without mass and particle of mass mp at the end). Two different systems are analyzed. In the first one, the pendulum moves freely inside the cart. In the second, a flexible barrier, attached to the cart, constrains the pendulum motion and may cause impacts. Due to the relative motion between the cart and the pendulum, it is possible that occurs impact between these two elements.

Mots clés: nonlinear dynamics; coupled systems; vibro-impact; embarked mass; stochastic analysis

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]

R. Lima, R. Sampaio, Christian Soize. A vibro-impact electromechanical system: models of the random dynamics of an embarked pendulum. 22nd International Congress of Mechanical Engineering (COBEM 2013), Nov 2013, Ribeirão Preto, SP, Brazil. pp.1-10. ⟨hal-00903243⟩