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