STRUCTURAL-ANALYSIS BY AN INVERSE PROCEDURE USING BERNOULLI AND EULERFUNCTIONS

In this paper, an inverse method which starts with assuming a displace ment function is used to solve structural problems, The displacement f unction is a non-orthogonal series expansion consisting of trigonometr ic functions, It is further converted into Fourier series expressed by Bernoulli or Euler functions. The possibility of satisfying some boun dary conditions in advance is considered in constructing the displacem ent function, The rigorous solution is obtained by requiring all funda mental relations to be satisfied which uniquely determines unknown con stants in the displacement function, Elasto-static problems are solved for demonstrating the applicability of the solution procedure, The re sults are presented. (C) 1997 Elsevier Science Ltd.