Solution of Linear Function Pressures on a Hollow Cylinder andthe Limit Solution When l → ∞

摘要

The problem of linear function pressures on a hollow cylindrical is solved with a new stressfunction, which provides the basis for the solution of space symmetrical deformation of a hollow cylinder.Examples of elastic deformation produced in the engineering are widespread. Liquid press working urn orsqueezing cylinder is a practical example[1]. It is symmetry problem of three-dimension space. But onlythe solution uniformly distributed pressures on a hollow cylinder is obtained by transforming the problemin three-dimension space into one in two-dimension space in many books up to date. It can result in verybig margin of error. In fact the pressure is not certainly distributed uniformly and the sketch of pressure ona hollow cylinder can be described with multiplication. An analytical solution for liner function pressureson a hollow cylinder with new stress function satisfying both the biharmonic equation[2][3][4] andboundary conditions is presented here. It is very significant to get the analytical solution to theory andpractice. So it is very significant to get the solution of arbitrarily distributed pressure that can be expressedwith constants, quadratic functions, cubic functions, sine functions, hyperbolic functions and so on.