BAYESIAN INFERENCE OF CONSTITUTIVE PARAMETERS THROUGH THE COLLISION DYNAMICS OF A BALL

FERNANDO S. BUEZAS; NICOLÁS FOCHESATTO; WALTER TUCKART; MARTA B. ROSALES

Tucumán

Congreso; MECOM 2018 : XII Congreso Argentino de Mecánica Computacional; 2018

AMCA

The trajectory of a ball impacting with an angle on a rigid boundary is recorded with a highspeed camera and the dynamics is reconstructed in a computer. Several experiments are carried out inorder to obtain statistical distributions of the trajectory. On the other hand, a simple model of a viscoelastic material ball simulates the experiment. If the values of the constitutive parameters (e.g. elastic andviscous modulus, friction coefficient, etc.) in the numerical model are correct, the simulated dynamicsand the experimental data must be comparable. In this study, the Bayesian inference is applied to identifytwo constitutive parameters (the friction and viscous coefficients) through statistical measures. Furthermore and once the distributions of the stochastic parameters are available, a propagation of uncertaintiesis carried out to verify the experimental results and also, to obtain information about other variables ofinterest which experimental determination is not straightforward, such as contact forces, time of contact,etc.