Transient Vibration of a Rotating Shaft with Nonlinear Spring Characteristics during Acceleration through a Major Critical Speed : Vibration, Control Engineering, Engineering for Industry

Abstract

This paper deals with the transient vibration of a rotating shaft with nonlinear spring characteristics during constant acceleration passing through a major critical speed. In a theoretical analysis, we solve the equations of motion numerically and discuss this phenomenon. paying attention to the nonlinear components represented by polar coordinates. As a result, it is clarified that when the angular acceleration λ and to a large extent at a certain value of λ=λ₀. This characteristic is different from that of a linear system, where the maximum amplitude decreases markedly in the range of small angular accelerations. We verified these phenomena in experiments. Generally speaking, it is more difficult to pass through a critical speed in a nonlinear system than in a linear system.