Rationalization in Deriving Element Stiffness Matrix by Assumed Stress Approach

作者: Theodore H Plan , Pin Tong

DOI:

关键词: Rational functionStructural engineeringDisplacement (vector)Mathematical analysisFinite element methodHybrid systemStiffnessStress (mechanics)MathematicsStiffness matrixDiscontinuity (linguistics)

摘要: Abstract : From the principle of minimum complementary energy, which is extended to take into account possible discontinuity in stresses or displacements along interelement boundaries, finite element methods by both assumed stress hybrid model and equilibrium can be formulated. This formulation enables development a rational method for consistent lumping body surface forces establishment criterion kinematical instability system. For model, there an optimum choice number modes given boundary displacement approximation. Example calculations plate-bending problems are included substantiate analytical predictions. Examples also carried out illustrate convenience taking transverse shear effects method.

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