Multi-Body Impact Motion with Friction—Analysis, Simulation, and Experimental Validation

Abstract

When a multi-body system collides with a single body or with another multi-body system, impact dynamics with friction should be considered. This paper presents a general computer oriented analysis of impact dynamics incorporating friction. The presence of friction between sliding contacts during the impact makes the problem difficult since the events such as reverse sliding or sticking, which may occur at different times throughout the impact, must be determined. The boundary representations of the bodies are used to solve for the velocities at the points of contact. Using this information and a classification of the modes of impact, the frictional impact with sliding contact problem is solved. Using a high speed video camera, the resulting computer strategy is experimentally verified. Simulation and experimental results agree.

Chaotic Dynamics of Repeated Impacts in Vibratory Bowl Feeders

“…When n*1, the post-impact velocities represented by equation (8) can be computed from the pre-impact velocities by using the frictional impact analysis results [13]. The dynamics of the part between the nth and (n#1)th impacts L ( ) L> , can be obtained as shown in equation (9) by integrating equation (4).…”

“…In order to compute the post-impact velocities at the nth impact, the frictional impact theory [13] presented by one of authors of this paper has been adopted. The analysis of impact motion with friction is covered in detail in Han and Gilmore [13].…”

Frictionless multiple impacts in multibody systems. I. Theoretical framework

“…Pioneering works related to the multi-impact problems can also be found in several papers (see, e.g. Delassus 1920, Bernoulli 1969, Han & Gilmore 1993and Brogliato 1999 for references).…”

Influence of the contact—impact force model on the dynamic response of multi-body systems

“…Luminaries of science such as Coulomb developed friction studies, but there is still no simple model that can be universally used by designers to calculate the friction force for a given pair of bodies in contact. In recent years, there has been much interest on the subject of friction and many research papers have focused on the subject [26][27][28].…”