An exact solution in a nonlinear theory of rods |
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| Authors: | A B Whitman C N DeSilva |
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| Institution: | 1. Department of Mechanical Engineering Sciences, Wayne State University, Detroit, Michigan
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| Abstract: | A three dimensional nonlinear equilibrium theory of elastic rods, applicable to large displacements and small strains, and accounting for extensibility and shear deformation is developed. Integrals of the governing equations are determined for the case of specified end force and moment. A class of solutions is obtained for an initially straight, untwisted rod and compared to the classical solution. The effects of extensibility and shear deformation are discussed. |
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