Asymptotic Derivation of Shear Beam Theory from Timoshenko Theory

作者: Dewey H Hodges , None

DOI: 10.1061/(ASCE)0733-9399(2007)133:8(957)

关键词: Deformation modulusShear (geology)ModulusMathematical analysisYoung's modulusShear modulusBeam (structure)Asymptotic expansionMathematicsTimoshenko beam theory

摘要: A systematic reduction of Timoshenko beam theory to shear is presented and compared a parallel Euler–Bernoulli theory. The agreement between theories seen improve as the ratio Young’s modulus increases, mode number becomes fatter, which are opposite trends for theories.

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