LEIPHOLZ COLUMN WITH SHEAR AND COMPRESSIBILITY

The influence of rotary inertia, shear, and axis extensibility on Me s tability boundary of a generalized Leipholz column is analyzed, Namely , we confider the problem of determining the stability boundary for an elastic column, fixed at one and free at the other end, loaded by uni formly distributed tangential forces along its length and a concentrat ed farce at the top having fixed direction. The constitutive equations for the column are taken in the form suggested by Haringx. First, the nonlinear differential equations of motion are derived. These equatio ns are then linearized, around the trivial solution, and the critical (flutter) load is determined numerically. It is found that axis compre ssibility increases Me critical load, while the finiteness of shear st iffness, rotary inertia, and constant compressive force decrease the c ritical load. The influence of the pulsating component of the compress ive force on Me stability is also analyzed.