A spring-damping contact force model considering normal friction for impact analysis

Pengyuan Zhao, Jinguo Liu, Yangmin Li, Chenchen Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

13 Citations (Scopus)


A spring-damping contact force model considering the normal friction force is proposed and discussed in this paper. This model is an extension and development of Hertz theoretical model. The physical model of contact force in the contact process is established. The friction force during the elastic compression and restitution phases is represented using the product of tangential component of contact force and friction coefficient, which is a function of contact force and deformation. The friction dissipation coefficient is proposed to characterize the energy dissipation under different material properties and initial velocities. A velocity exponential model is proposed, and the expressions of damping coefficient and contact force are derived. Numerical analysis is carried out and the model in this paper is compared with classical models under two conditions, which proves the correctness and effectiveness of the model. The spring-damping model with normal friction force is applied to a simple spring contact system, and the energy dissipation process under the action of spring prestress is analyzed.

Original languageEnglish
Pages (from-to)1437-1457
Number of pages21
JournalNonlinear Dynamics
Issue number2
Publication statusPublished - Jul 2021


  • Contact force model
  • Damping model
  • Energy loss
  • Normal friction
  • Spring contact system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics


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