A GENERAL-APPROACH ON THE MECHANICAL ANALYSIS OF NONUNIFORM BEAMS WITH NONHOMOGENEOUS ELASTIC BOUNDARY-CONDITIONS

The dynamic and static response of a nonuniform beam with nonhomogeneo us elastic boundary conditions is studied by generalizing the method o f Mindlin-Goodman and utilizing the exact solutions of general elastic ally restrained non-uniform beams given by Lee and Kuo. A general form of change of dependent variable is introduced and the shifting functi ons expressed in terms of the four fundamental solutions of the system , instead of the fifth degree polynomials taken by Mindlin-Goodman, ar e selected. The physical meanings of these shifting polynomial functio ns are explored. Finally, the limiting cases are discussed and example s are given to illustrate the analysis.