VARIATIONAL FORMULATION OF NONLINEAR EQUATIONS FOR STRAIGHT ELASTIC BEAMS.

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Schmidt, Robert
DaDeppo, Donald A.
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Industrial Mathematics | 1973年 / 23卷 / Part 2期
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This paper presents several variational ways of deriving the governing equations for the in-plane bending of initially straight beams undergoing very large deflections. The main contribution is the indication of the steps in the derivation at which the small-strain assumption may be introduced without destroying the correctness of the final equations. A variant of the Ritz technique of analysis is applied to a cantilevered-beam problem.
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页码：117 / 136
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