Electromechanical system with internal impacts and uncertainties Roberta Lima a,∗ , Rubens Sampaio a a PUC-Rio, Department of Mechanical Engineering, Rua Marquˆ es de Sao Vicente, 225, G´avea, 22451-900 RJ, Brazil Abstract This paper analyzes the impact behavior of an embarked pendulum in a vibro- impact electromechanical system considering the existence of epistemic uncer- tainties in the system parameters. The electromechanical system is composed by a cart whose motion is driven by a DC motor and an embarked pendulum in the cart. The suspension point of the pendulum is fixed in the cart, so that exists a relative motion between cart and pendulum. The influence of the DC motor in the dynamic behavior of the system is considered. The coupling be- tween 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 m p at the end). The pendulum is modeled as a mathematical pendulum. A flexible barrier, placed inside the cart, constrains the pendulum motion. Due to the relative motion between the cart and the pendulum, impacts can occur between these two elements. The objective of the paper is to analyze the energy stored in the barrier in impacts as function of some parameters of the electromechanical system from a deterministic and from a stochastic viewpoint. Keywords: nonlinear dynamics, coupled system, vibro-impact, embarked mass, stochastic analysis, uncertainty quantification. * Corresponding author Email addresses: roberta_10_lima@hotmail.com (Roberta Lima ), rsampaio@puc-rio.br (Rubens Sampaio) Preprint submitted to Journal of Sound and Vibrations February 29, 2016