On the elastic stability of uniform beams and circular arches under nonconservative loading

The in®nitesimal (local) stability of uniform beams and circular arches under the terminal nonconservative loading is studied. The nonlinear equilibrium with large de¯ections is expressed in a closed form. Then, the equations which govern a free motion about the equilibrium position are constructed. The eigenvalue analysis of the linearized system of di€erential equations with varying coecients is performed by the ®nite element concept and the subdomain collocation method. 7