Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial

A collision with clearance causes obvious nonlinearity in structures, and dynamic response analysis plays an important role predicting the mechanical performance of structure. The general form nonlinear equation a structure modeling method are introduced, clearance-caused term is expressed by impact forces. Different models local structures presented. relationships between different forces clearances analyzed two rigid sphere models. solution methods compared vibro-impact response, such as Newmark-β combined Newton–Raphson method, generalized α precise integration method. single degree freedom model adopted to compare efficiency numerical algorithms. Taking beam case study, accurate established using force high accuracy, accuracy verified comparing reference model.