Related Experiment Video
Updated: Sep 17, 2025

Experiments on Ultrasonic Lubrication Using a Piezoelectrically-assisted Tribometer and Optical Profilometer
Published on: September 28, 2015
Research on horizontal nonlinear sub-harmonic vibration characteristics and stability control of rolling mill roll
Li Jiang1, Ting Yang2, Wei Shi3,4
1College of Intelligent Manufacturing, Chengdu Technological University, Chengdu, 611730, China. 497740767@qq.com.
None:
In this paper, the main content is analyzing the combined resonance characteristics of the roller system. Firstly, established a horizontal nonlinear vibration model with fractional-order by considering the nonlinear stiffness and nonlinear damping between the roller and the material. Secondly, the multi-scale method is applied to solve the non-resonance, sub-harmonic resonance and super-harmonic resonance of the roller system. The analytical solution and the amplitude-frequency characteristic equations are obtained. Then, The relationship between the influence of different parameters on the sub-harmonic vibration of the roll system is investigated, and the results show that the nonlinear damping coefficient, nonlinear stiffness coefficient, linear stiffness coefficient and excitation force amplitude all affect the sub-harmonic vibration range and co-oscillation amplitude, and the change of the stiffness coefficient induces the system oscillation. Last, a linear and nonlinear optimal feedback controller is designed to control the sub-harmonic resonance and super-harmonic resonance phenomena of the roll system. Where the sub-harmonic resonance control parameters are selected in the range g2 ∈ (-0.32,0), 3.7 > g3 > 2.67, and the super-harmonic resonance control parameters are selected in the range g2 > 0, 0.5 < g3 < 2.5. The correctness of the theoretical study is verified by field experiments.
Related Concept Videos
Rolling Resistance: Problem Solving
One-Degree-of-Freedom System
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
Rolling Resistance
For instance, imagine a hard cylinder rolling on a comparatively soft surface. The cylinder's weight compresses the surface beneath it. As the cylinder moves, the material in front of it slows down...
Equation of Motion: General Plane motion - Problem Solving
The friction between the roller and the ground is characterized by two coefficients. The static friction coefficient is 0.15, while the kinetic friction coefficient is 0.1. These values are crucial in understanding the interaction between...
Stability of structures
Circular Shaft - Stresses in Linear Range

