Bayesian inference of constitutive parameters from video data of the impact dynamics of a ball

被引:0
作者
Fernando S. Buezas
Nicolás Fochesatto
Marta B. Rosales
Walter Tuckart
机构
[1] Universidad Nacional del Sur,Departamento de Física
[2] Universidad Nacional del Sur – CONICET,Instituto de Física del Sur
[3] Universidad Nacional del Sur,Departamento de Ingeniería
来源
Archive of Applied Mechanics | 2020年 / 90卷
关键词
Constitutive parameters; Friction and viscoelasticity; Bayesian inference; Video data;
D O I
暂无
中图分类号
学科分类号
摘要
The trajectory of a ball impacting with an angle on a rigid boundary is recorded with a high-speed camera and the dynamics is reconstructed in a computer. Several experiments are carried out in order to obtain statistical distributions of the trajectory. On the other hand, a continuum model of a viscoelastic material ball simulates the experiment. If the values of the constitutive parameters (e.g. elastic and viscous modulus, friction coefficient, etc.) in the numerical model are correct, the simulated dynamics and the experimental data should match. In this study, the Bayesian inference is applied to identify two constitutive parameters (the friction and viscous coefficients) through statistical measures. The methodology shows to provide a useful tool to solve an inverse problem with a stochastic approach which allows to reference the results in a statistic frame starting from indirect and sparse information.
引用
收藏
页码:1795 / 1810
页数:15
相关论文
共 51 条
  • [1] Stronge WJ(2007)Oblique impact of inflated balls at large deflections Int. J. Impact Eng. 34 1003-361
  • [2] Ashcroft AD(2018)Johnson–Cook parameter evaluation from ballistic impact data via iterative FEM modelling Int. J. Impact Eng. 112 180-undefined
  • [3] Burley M(2014)Dependence of the friction coefficient between two rough surfaces on their reciprocal correlation function Physica B Condens. Matter 452 71-undefined
  • [4] Campbell JE(2003)Influence of self-affine surface roughness on the friction coefficient for rubbers J. Appl. Phys. 94 5652-undefined
  • [5] Dean J(2001)Theory of rubber friction and contact mechanics J. Chem. Phys. 115 3840-undefined
  • [6] Clyne TW(2000)Dynamic compression testing of particle-reinforced polymer roll cover materials Compos. Part A Appl. Sci. Manuf. 31 815-undefined
  • [7] Nikoofard H(2009)Crack detection in beam-like structures Eng. Struct. 31 2257-undefined
  • [8] Farahani SV(2011)Damage detection with genetic algorithms taking into account a crack contact model Eng. Fract. Mech. 78 695-undefined
  • [9] Jafari GR(2004)Model selection using response measurements: Bayesian probabilistic approach J. Eng. Mech. 130 192-undefined
  • [10] Palasantzas G(2009)Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems J. R. Soc. Interface 6 187-undefined