Abstract
A numerical method is devised for the solution of nonlinear problems in bodies whose boundaries can be uniquely described in cylindrical coordinates. It provides a generalization of standard finite element (FE) Fourier analysis to nonlinear problems with asymmetric geometry and material properties. One class of problems in this category is that involving nonlinear steady-state heat transfer in a body with asymmetric geometry, thermal loading, and thermal properties. The proposed method combines FE discretization in a plane or interval and a symbolically implemented Fourier decomposition in the circumferential direction. Applications include space structures or structural members in space structures exposed to incoming solar heat flux and emitting thermal radiation
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