考虑横向剪切变形时圆截面悬臂梁的广义变分原理
The General Variational Principle on the Cantilever Beam of Circular Cross Section Including Transverse Shear Deformation
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摘要: 本文通过二类变量广义变分原理导出了考虑横向剪切变形时圆截面等直悬臂梁的近似理论,给出了对应于该理论的具有两个广义位移的二类变量广义余能的算式.Abstract: In this paper we derive the approximate theory on the straight cantilever beam of a same circular cross section including transverse shear deformation,using the general variational principle with two class variates,and we present the expression with two class variates containing two general displacement,of general complementary energy,corresponding to the theory.
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[1] 胡海昌,《弹性力学的变分原理及其应用》,科学出版社(1981). [2] Cowper,G,R.,The shear coefficients in Timoshenko's beam theory,Journal of Applied Mechanics,33(1966),335. [3] [美〕S.铁摩辛柯.J·盖尔,《材料力学》,科学出版社(1978),168. -
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