Damping response analysis for a structure connected with a nonlinear complex spring and application for a finger protected by absorbers under impact forces

Abstract This paper describes the dynamic response of a finger protected by a pair of viscoelastic absorbers under impact forces. The restoring forces of the finger and the absorbers are measured using the levitation mass method proposed by Fujii. In this study, we carry out numerical analysis of the dynamic response of a finger protected by absorbers under the same conditions as in the experiment. The absorbers and the finger are modeled by nonlinear concentrated springs using the power series of the elongations. Nonlinear complex spring constants are used to represent the changes in hysteresis as elongation progresses. This nonlinear spring is connected to a levitated block, which is modeled by three-dimensional finite elements. The experimental data are compared with the data calculated using our proposed finite element method.

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