燕山大学学报
燕山大學學報
연산대학학보
JOURNAL OF YANSHAN UNIVERSITY
2013年
3期
245-249
,共5页
轧机%主传动系统%间隙%分岔%混沌
軋機%主傳動繫統%間隙%分岔%混沌
알궤%주전동계통%간극%분차%혼돈
rolling mill%main drive system%clearance%bifurcation%chaos
打滑极易引起轧机传动系统产生振动,是大多数轧机传动系统遭到异常损坏的主要因素。本文针对某厂轧机生产中出现的问题,考虑轧辊扁头、扁头套间隙和轧辊打滑状态,建立了该轧机主传动系统非线性动力学模型及数学模型,采用龙格库塔方法对系统动态响应进行数值计算,并利用 MATLAB 软件编程进行仿真分析,得到了系统的分岔图、相图和庞加莱截面。基于对模型和数值计算结果的分析,发现轧机打滑可能引起系统混沌现象。本文的研究成果可为控制和分析轧辊打滑提供重要的理论参考。
打滑極易引起軋機傳動繫統產生振動,是大多數軋機傳動繫統遭到異常損壞的主要因素。本文針對某廠軋機生產中齣現的問題,攷慮軋輥扁頭、扁頭套間隙和軋輥打滑狀態,建立瞭該軋機主傳動繫統非線性動力學模型及數學模型,採用龍格庫塔方法對繫統動態響應進行數值計算,併利用 MATLAB 軟件編程進行倣真分析,得到瞭繫統的分岔圖、相圖和龐加萊截麵。基于對模型和數值計算結果的分析,髮現軋機打滑可能引起繫統混沌現象。本文的研究成果可為控製和分析軋輥打滑提供重要的理論參攷。
타활겁역인기알궤전동계통산생진동,시대다수알궤전동계통조도이상손배적주요인소。본문침대모엄알궤생산중출현적문제,고필알곤편두、편두투간극화알곤타활상태,건립료해알궤주전동계통비선성동역학모형급수학모형,채용룡격고탑방법대계통동태향응진행수치계산,병이용 MATLAB 연건편정진행방진분석,득도료계통적분차도、상도화방가래절면。기우대모형화수치계산결과적분석,발현알궤타활가능인기계통혼돈현상。본문적연구성과가위공제화분석알곤타활제공중요적이론삼고。
Slippage may result in the vibration of the drive system of rolling mill, which is a major reason of most system damage. A non-linear mechanical model and its corresponding mathematical model are established according to production problems of plate mill in the light of the rolling slippage of a rolling mill drive train with backlash at the palm end of roller. The Runge-Kutta method is used to solve the response of the system. The bifurcation diagram, the phase diagram and the Poincare sections graph of the system are obtained using MATLAB software. It is found that the slippage of rolling mill may cause the system's chaotic behaviors based on the analysis of the model and the numerical calculation results. The study results provid an important theoretical reference to control and analyze roll slippage.