Article ID Journal Published Year Pages File Type
7174705 International Journal of Non-Linear Mechanics 2012 7 Pages PDF
Abstract
► Two exact integrals for the finite motion of a load supported by hyperelastic springs are derived. ► Inertia of the springs is included, and a general relation for the small amplitude frequency follows. ► Periodicity for arbitrary finite motions is proved for all hyperelastic springs with monotone engineering stress. ► The exact closed form finite amplitude solution is obtained for the neo-Hookean material. ► The period is given by the Heuman lambda function, and the overall system behavior is discussed.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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