Identifying Resonance Points of Roller System in Single-sided Machine of High-speed Corrugated Board Production Line

XIE Fayi; JIANG Mian; XIE Weiwei; CHEN Shuyi

doi:10.19554/j.cnki.1001-3563.2026.15.020

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Packaging Engineering ›› 2026, Vol. 47 ›› Issue (15) : 198-206. DOI: 10.19554/j.cnki.1001-3563.2026.15.020

Automatic and Intelligent Technology

Identifying Resonance Points of Roller System in Single-sided Machine of High-speed Corrugated Board Production Line

XIE Fayi¹, JIANG Mian^1,*, XIE Weiwei², CHEN Shuyi³

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Abstract

The work aims to study the resonance characteristics in response to the resonance phenomenon that may occur during the operation of the roll system of the single-sided machine and its adverse effects on the forming quality of corrugated board and the structural safety of the equipment, identify the key resonance speed points to provide a basis for the operation parameter optimization and equipment commissioning of the single-sided machine, and improve the equipment operation stability and product quality. A finite element models of the upper corrugating roller, the lower corrugating roller and the smooth roller were established, and the multi-speed transient dynamic simulation was carried out to obtain the vibration response time series. The dynamic behavior at different speeds was analyzed based on the response characteristics, and verified by combining Campbell diagram and harmonic response analysis. The research showed that the vibration of each roller was stable at most speeds, and the vibration near a specific speed showed irregular characteristics and the amplitude increased significantly. The upper corrugating roller was at 120 rad/s and 180 rad/s, the lower corrugating roller was at 180 rad/s and 330 rad/s, and the smooth roller was obviously abnormal near 60 rad/s, 90 rad/s and 105 rad/s. The above results were basically consistent with the critical speed predicted by the traditional method. Through the analysis of the vibration response of the roller system of the single-sided machine, the resonance speed range can be effectively identified, and the results are in good agreement with the traditional methods, which can provide reference for the optimization of equipment operation parameters and vibration control.

Key words

single-sided machine / resonant speed / vibration characteristics / dynamic simulation / operational stability

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XIE Fayi, JIANG Mian, XIE Weiwei, CHEN Shuyi. Identifying Resonance Points of Roller System in Single-sided Machine of High-speed Corrugated Board Production Line[J]. Packaging Engineering. 2026, 47(15): 198-206 https://doi.org/10.19554/j.cnki.1001-3563.2026.15.020

References

[1] 尚雯, 杜群贵. 单面瓦楞机卡闸机构动力学分析[J]. 包装工程, 2016, 37(5): 124-129.
SHANG W, DU Q G.Dynamics Analysis of the Brake Mechanism of Single-Face Corrugating Machine[J]. Packaging Engineering, 2016, 37(5): 124-129
[2] YANG R, ZHANG Z Y, CHEN Y S.Analysis of Vibration Signals for a Ball Bearing-rotor System with Raceway Local Defects and Rotor Eccentricity[J]. Mechanism and Machine Theory, 2022, 169: 104594.
[3] 杨克航, 吕宏展, 白涛, 等. 辊涂试验装备的转子临界转速计算与分析[J]. 东华大学学报(自然科学版), 2022, 48(2): 63-68.
YANG K H, LYU H Z, BAI T, et al.Calculation and Analysis of Rotor Critical Speed for Roller Coating Test Equipment[J]. Journal of Donghua University (Natural Science Edition), 2022, 48(2): 63-68.
[4] LI S M, WANG Y J.Damping Optimization of High Pressure Rotor Support Based on Harmonic Response Analysis[C]//Journal of Physics: Conference Series. IOP Publishing, 2021, 1861(1): 012112.
[5] 王慧斌, 李德友, 段雪晴, 等. 基于谐响应分析的冲击式水轮机转轮共振预测[J].大电机技术, 2024, 108(2): 50-57+96.
WANG H B, LI D Y, DUAN X Q, et al. Resonance Prediction of Impulse Turbine Runner Based on Harmonic Response Analysis[J]. Large Electric Machine & Hydraulic Turbine, 2024, 108(2): 50-57+96.
[6] 陈景春, 张丽, 杜胜民, 等. 基于模态和谐响应分析的压缩机管系振动分析[J]. 石油化工高等学校学报, 2017, 30(3): 95.
CHEN J C, ZHANG L, DU S M, et al.Vibration Analysis of Compressor Piping System Based on Modal Harmonic Response Analysis[J]. Journal of Colleges and Universities of Petroleum and Chemical Engineering, 2017, 30(3): 95.
[7] 张伟政, 林智, 丁雪兴, 等. 叶轮转子-轴承-干气密封系统模态分析及谐响应分析[J]. 兰州理工大学学报, 2020, 46(5): 73-77.
ZHANG W Z, LIN Z, DING X X, et al.Modal Analysis and Harmonic Response Analysis of the Impeller Rotor-Bearing-Dry Gas Seal System[J]. Journal of Lanzhou University of Technology, 2020, 46(5): 73-77.
[8] 魏春梅, 魏兵, 周世棠. 高速单面瓦楞机系统的研究综述[J]. 包装工程, 2007, 28(5): 175-176.
WEI C M, WEI B, ZHOU S T.A Review of High-Speed Single-Face Corrugating Machine Systems[J]. Packaging Engineering, 2007, 28(5): 175-176
[9] 侯磊, 陈予恕. 非线性共振及其计算和应用[J]. 机械工程学报, 2019, 55(13): 1-12.
HOU L, CHEN Y S.Nonlinear Resonance and its Computation and Application[J]. Journal of Mechanical Engineering, 2019, 55(13): 1-12.
[10] 陈果. 具有不平衡-碰摩耦合故障的转子-滚动轴承系统非线性动力学研究[J]. 振动与冲击, 2008, 27(4): 43-48+167-168.
CHEN G. Nonlinear Dynamics Research on Rotor-Rolling Bearing Systems with Unbalance-Rubbing Coupling Faults[J]. Journal of Vibration and Shock, 2008, 27(4): 43-48+167-168.
[11] 王海飞, 闫利士, 张陆斌, 等. 柔性转静子碰撞正反向模态内共振特性研究[J]. 振动工程学报, 2025, 38(9): 2088-2097.
WANG H F, YAN L S, ZHANG L B, et al.Research on the Internal Resonance Characteristics of Flexible Rotor-stator Collision in Forward and Reverse Modes[J]. Journal of Vibration Engineering, 2025, 38(9): 2088-2097.
[12] 权凌霄, 骆洪亮, 张晋. 斜轴式轴向柱塞泵壳体结构振动谐响应分析[J]. 液压与气动, 2014, 38(5): 33-39.
QUAN L X, LUO H L, ZHANG J.Vibration Harmonic Response Analysis of the Housing Structure of Oblique-axis Axial Piston Pump[J]. Hydraulic and Pneumatic Technology, 2014, 38(5): 33-39.
[13] SCHWEICKHARDT T, ALLGWER F.Chapter A3: Quantitative Nonlinearity Assessment—An Introduction to Nonlinearity Measures[J]. Computer Aided Chemical Engineering, 2004, 17: 76-95.
[14] DING W H, YANG M J, JIANG M, et al.A New Approach of Dynamic Complexity Analysis for a Planar Manipulator With Clearance and Lubrication in Joint[J]. Complexity, 2025, 2025(1): 2238719.
[15] LI Y T, WU K, LIU J.Self-paced ARIMA for Robust Time Series Prediction[J]. Knowledge-Based Systems, 2023, 269: 110489.