Creep Analysis of Circular Plates by Energy Methods

摘要

The paper investigates the creep bending of circular plates using energy theorems of elasticity. Firstly, the theorem of minimum potential energy is used to derive, in terms of rectangular coordinates, the governing differential equations and the natural boundary condition for laterally loaded thin plates. Next, these equations are transformed into polar coordinates for application to rotationally symmetric circular plate problems. For such plates, the theorem of minimum total complementary potential is then used to derive the governing moment equation and the corresponding boundary conditions. This is followed by a brief discussion of Reissner's variational theorem as applied to circular plates problems. The use of each of these three theorems is then illustrated by obtaining solutions to the problem of a simply supported circular plate. Finally, these solutions are graphically compared with exact solutions obtained previously. (Author)