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| Later Load Displacement Approximate Solution Under Initial Loads for Four Non-orthogonal Boundary Plates |
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Abstract Based on general static equilibrium differential equation of plate considered initial load effect, the polar form static equilibrium differential equation was presented for circular plate considered initial load effect under axisymmetric condition. The approximate solutions of later load displacement considered initial load effect for the simply supported equilateral triangular plate, the clamped ellipse plate, the clamped circular plate and the simply supported circular plate, were derived by the Galerkin method. These approximate solutions of displacement were verified using the finite element method presented in related literature. Initial load effect on later load displacement of the above 4 plates was analyzed with these solutions, which clearly illustrated the initial load effect and corresponding factors that influence the static performance of plates. Due to initial loads effect, the bending stiffness of plate increased, the displacements of later loads decreased. The key physical factors governing the effect of initial loads on plates are the initial load, the ration of span to thickness and boundary condition etc.
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Received: 16 June 2014
Published: 28 October 2015
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2015, Vol. 36 
