Abstract: The stability of motion of a nonlinear neo-Hookean rubber spring pendulum under a special type of support oscillation is studied. The small swing motion is described by a Mathieu-Hill equation, ...

Abstract: A criterion for determining the stability of solutions of Hill’s equation containing even periodic potential is developed based on Hill’s method of solution. In the special case of the Mathieu ...

Abstract: An attempt is made to study theoretically the stability of a symmetrical, horizontal, rigid rotor mounted on two identical short bearings. Dilute viscoelastic solutions are used as lubricants. ...

Abstract: The rotating internal damping or nonconservative circulatory force in a rotor shaft system causes instability beyond a certain threshold rotor spinning speed. However, if the source loading of ...