This paper deals with the eigenvalue sensitivity of a finite element formulation on vibration and dynamic stability of an elastically restrained cantilevered beam under subtangential forces. Governing equations are derived by energy expressions using ...
This paper deals with the eigenvalue sensitivity of a finite element formulation on vibration and dynamic stability of an elastically restrained cantilevered beam under subtangential forces. Governing equations are derived by energy expressions using extended Hamilton's principle. In order to more quickly and efficiently obtain the critical subtangential force for a given system, a technique which utilizes the eigenvalue sensitivity with respect to the system parameter is introduced. More accurate results are obtained for both variations in the spring position, spring stiffness, as well as the subtangential parameter.