Three-Dimensional Analysis of the Stress–Strain State of Inhomogeneous Hollow Cylinders Using Various Approaches
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The stress–strain state of an inhomogeneous hollow cylinder with clamped edges is studied using the three-dimensional elasticity theory. The problem is solved with the spline-approximation and finite-element methods. To reduce the system of partial differential equations to a system of ordinary high-order differential equations, two-dimensional splines are applied. The one-dimensional problem is solved with the method of discrete orthgonalization. The results obtained with the spline-approximation and finite-element methods for an open inhomogeneous cylinder with a radially varying elastic modulus are compared.
Keywordsstress–strain state three-dimensional elasticity theory hollow cylinder finite length spline collocation finite-element method
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