Nonlinear In-plane Vibration of a Rotating Beam with Spring-mass System Attached to the Beam

作者：Pohit G^*; Das S K; Ray P C

来源：Journal of Vibration Engineering & Technologies, 2015, 3(1): 65-82.

• Nonlinear vibration
• Frequency-amplitude relationship
• Nonlinear constraint
• Lag mode

An investigation is carried out on free, in plane vibration of a rotating beam with nonlinear spring mass system connected to the beam between two points on the beam through a rigid rod. Formulation of the equation of motion in lag mode is presented starting from in plane/axial coupling through axial strain. The formulation has the unique feature to assess the influence of mass of spring on nonlinear frequencies. Solution is obtained by applying method of multiple time scale directly to the nonlinear partial differential equations and the boundary conditions. The results of the linear frequencies match well with those obtained in open literature. Subsequent nonlinear study indicates that there is a pronounced effect of spring and its mass. The influence of rigid rod location on frequencies is also investigated on nonlinear frequencies of rotating beam.

• 出版日期2015-2