CLOSED FORM BUCKLING SOLUTIONS OF EULER-BERNOULLI COLUMNS WITH MULTIPLE SINGULARITIES

摘要

In this paper the Euler-Bernoulli column in presence of multiple concentrated open cracks and for general boundary conditions is studied. The request of an integration procedure able to lead to exact closed form buckling solutions for any number, position and intensity of the cracks is satisfied. A model of concentrated crack based on the adoption of the distributions (generalized functions) is presented. In particular, the exact buckling mode solution and the corresponding exact buckling load equation is obtained. A parametric study for different boundary conditions is presented.