(1. 東北大學(xué) 信息科學(xué)與工程學(xué)院，沈陽 110819；
2. 東北大學(xué) 研究院，沈陽 110819；
3. 寶鋼集團(tuán)有限公司 中央研究院，上海 201900)
摘 要: 采用軋輥表面邊界逐一處理與等效處理兩種方式，研究一個軋制周期內(nèi)工作輥溫度場及熱凸度的變化規(guī)律，并對溫度場的頻域特性進(jìn)行了探討。根據(jù)熱軋工作輥的實(shí)際邊界條件，建立工作輥溫度場的軸向?qū)ΨQ差分模型，通過模擬結(jié)果與現(xiàn)場實(shí)測工作輥表面溫度和熱凸度的比較，驗(yàn)證模型的可靠性。結(jié)果表明：計算軋輥熱凸度時，軋輥轉(zhuǎn)動的復(fù)雜邊界條件可用等效邊界條件代替。軋輥溫度場可分解為低頻分量和高頻分量，前者為主導(dǎo)因素，而后者僅影響軋輥表面10 mm以內(nèi)的區(qū)域，稱為“淺層效應(yīng)”。離表面越近，溫度變化越劇烈；離表面越遠(yuǎn)，溫度達(dá)到穩(wěn)態(tài)所需的時間越長。軋制初期軋輥熱凸度呈現(xiàn)較快的指數(shù)上升趨勢，軋制一定數(shù)量帶鋼后，熱凸度趨于一個動態(tài)穩(wěn)定值。
關(guān)鍵字: 工作輥；溫度場；熱凸度；有限差分法；等效邊界
（1. College of Information Science and Engineering, Northeastern University, Shenyang 110819;
2. Research Institute of Science and Technology，Northeastern University，Shenyang 110819;
3. Research Institute, Baosteel Group Corporation, Shanghai 201900）
Abstract:Using one-by-one and equivalent boundary condition processing on work roll surface, the evolution rule of temperature field and thermal crown of work roll in a rolling campaign was studied, and the frequency characteristic of roll temperature field was discussed. According to the actual boundary condition of work roll in hot strip mills, an axially symmetric finite difference model for roll temperature field was established. The simulation results were compared and verified with the measured values of roll surface temperature and thermal expansion after a rolling campaign. The results indicate that the complex boundary conditions of work roll rotation can be replaced by equivalent boundary conditions in the calculation of roll thermal crown. It is found that the roll temperature field can be decomposed into a low frequency component and a high frequency one. And the former is main factor, while the latter only affects the 10 mm region below roll surface, which is called shallow effect. The closer the region to the roll surface is, the larger the amplitude of roll temperature is, and the farther the region to the roll surface is, the longer the time of reaching steady state temperature is. The roll thermal crown initially increases exponentially, and tends to become a stable value after rolling a certain number of coils.
Key words: work roll; temperature field; thermal contour; finite difference; equivalent boundary condition
