EXACT SOLUTION FOR FINITE DEFORMATION PROBLEMS OF CANTILEVER BEAM WITH VARIABLE SECTION UNDER THE ACTION OF ARBITRARY TRANSVERSE LOADS

摘要

This paper deals with finite deformation problems of cantilever beam with variable sec-tion under the action of arbitrary transverse loads.By the use of a method of variable replacement,the nonlinear differential equation with varied coefficient for the problem can be transformed into anequation with variable separable.The exact solution can be obtained by the integration method.Some examples are given in the paper,and the results of these examples show that this exact solutionincludes the existing solutions in references as special cases.