Journal
NONLINEAR DYNAMICS
Volume 105, Issue 2, Pages 1437-1457Publisher
SPRINGER
DOI: 10.1007/s11071-021-06660-4
Keywords
Contact force model; Energy loss; Damping model; Normal friction; Spring contact system
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Funding
- National Key R&D Program of China [2018YFB1304600]
- National Natural Science Foundation of China [51775541]
- CAS Interdisciplinary Innovation Team [JCTD-2018-11]
- State Key Laboratory of Robotics Foundation [Y91Z0303]
- Natural Science Foundation of Liaoning Province
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This paper proposes a spring-damping contact force model considering the normal friction force, which is an extension and development of Hertz theoretical model. Numerical analysis shows the correctness and effectiveness of the model under different conditions.
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.
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