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Numerical modelling of metal-elastomer spring nonlinear response for low-rate deformations

Sikora W., Michalczyk K., Machniewicz T.

Acta Mechanica et Automatica

2018

Vol. 12, no. 1

31--37

Advanced knowledge of mechanical characteristics of metal-elastomer springs is useful in their design process and selection. It can also be used in simulating dynamics of machine where such elements are utilized. Therefore this paper presents a procedure for preparing and executing FEM modelling of a single metal-elastomer spring, also called Neidhart’s spring, for low-rate deformations. Elastomer elements were made of SBR rubber of two hardness values: 50°Sh and 70°Sh. For the description of material behaviour the Bergström-Boyce model has been used.

A Damageable Spring

Chipman J. C., Roux A., Shillor M., Sofonea M.

Machine Dynamics Research

2011

Vol. 35, No. 1

82-96

The evolution of material damage in a nonlinear spring is modeled, analyzed, and numerically simulated. The material damage is described by a damage function whose evolution depends on the mechanical energy in the system and the damage threshold. The model is in the form of two coupled nonlinear ordinary differential equations. The existence of the unique solution is proved using arguments for evolutionary equations with maximal monotone operators, differential equations, and fixed points. The scaling properties of the model are discussed. A numerical algorithm for the problem is presented and four simulations of the system behavior depicted. In particular, the changes in the oscillations of the system as damage progresses are shown.

Stateczność i drgania swobodne kolumny poddanej obciążeniu czynnemu i biernemu siłą śledzącą skierowaną do bieguna dodatniego oraz podpartej sprężyną nieliniową

Tomski L., Uzny S.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

2008

z. 74 [258]

369-380

Theoretical and numerical research concerned of stability and free vibrations of slender system subjected to active and passive specific load is presented in the paper. Column supported at the one end by spring with nonlinear characteristics. The boundary problem was formulated one the basis of Hamilton's principle and of the small parameters method. Solution of boundary problem permitted carry out numerical simulations.