Structural analysis by an inverse procedure using Bernoulli and Euler functions

In this paper, an inverse method which starts with assuming a displacement function is used to solve structural problems, The displacement function is a non-orthogonal series expansion consisting of trigonometric functions, It is further converted into Fourier series expressed by Bernoulli or Euler functions. The possibility of satisfying some boundary conditions in advance is considered in constructing the displacement function, The rigorous solution is obtained by requiring all fundamental relations to be satisfied which uniquely determines unknown constants in the displacement function, Elasto-static problems are solved for demonstrating the applicability of the solution procedure, The results are presented. (C) 1997 Elsevier Science Ltd.