Effect of Blocking Mass on Characteristics of Beam Lateral Vibration

The lateral vibration equation is established by setting up two separate co-coordinate systems of the mass-beam system,and the non-dimensional coefficients implying the position and mass radio of the mass in the system are presented in the paper.The effect on the vibration frequencies of changing the position and the mass radio in the system is numerically discussed,and the modes of the system with different mass radio and position are considered.The result shows that the frequencies decrease as increasing the mass radio,but the frequencies fluctuate with position changing,and there exists some positions that the frequencies do not vary after the mass radio increases except the first frequency,also that the effects on the vibration characteristic as increasing the mass radio can be decreased by modulating the position of the mass.