title: Modeling a viscoelastic gymnastics landing mat during impact.
abstract: Landing mats that can undergo a large amount of area deformation are now essential for the safe completion of landings in gymnastics. The objective of this study was to develop an analytical model of a landing mat that reproduces the key characteristics of the mat-ground force during impact with minimal simulation run time. A force plate and two high-speed video cameras were used to record the mat deformation during vertical drop testing of a 24-kg impactor. Four increasingly complex point mass spring-damper models, from a single mass spring-damper system, Model 1, to a 3-layer mass spring-damper system, Model 4, were constructed using Matlab to model the mat's behavior during impact. A fifth model composed of a 3-layer mass spring-damper system was developed using visual Nastran 4D. The results showed that Models 4 and 5 were able to match the loading phase of the impact with simulation times of less than 1 second for Model 4 and 28 seconds for Model 5. Both Models 4 and 5 successfully reproduced the key force-time characteristics of the mat-ground interface, such as peak forces, time of peak forces, interpeak minima and initial rates of loading, and could be incorporated into a gymnast-mat model.
authors.affiliation: School of Sport and Exercise Sciences, Loughborough University, Loughborough, Leics., UK.
authors.forename: Chris
authors.initials: C
authors.lastname: Mills
authors.forename: Matthew T G
authors.initials: MT
authors.lastname: Pain
authors.forename: Maurice R
authors.initials: MR
authors.lastname: Yeadon
mesh_terms: D001696:Biomechanical Phenomena; D003198:Computer Simulation; D004867:Equipment Design; D006173:Gymnastics / Q000502:physiology*; D006801:Humans; D008297:Male; D008954:Models, Biological; D019876:Sports Equipment; D014741:Video Recording