An investigation of beam theory using the Airy stress function coupled with analytic function theory

作者: D. E. Jesson , W. N. Cottingham

DOI: 10.1007/BF00039324

关键词: Analytic functionPlane stressPlate theoryMathematical analysisTimoshenko beam theoryBending of platesLimiting case (philosophy of science)Complex analysisAiry functionMathematics

摘要: The Airy stress function, coupled with the theory of functions a complex variable, is used to investigate bending plates in plane strain. In limiting case thin plate, reproduces well-known result elasticity known as Love's Equation [1] and systematic corrections powers plate thickness are easily derived.

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