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應用剛塑性體的變分原理求解鋼軌萬能軋制過程的力能參數

Application of the variation principle for calculating the force-energy parameters of rail rolling by a universal mill

  • 摘要: 為了簡化鋼軌萬能軋制過程的三維幾何模型,首先把帶箱形孔型立輥簡化為等效的平輥,然后分別給出軌腰、軌頭及軌基的運動學許可速度場,求出在此速度場下相應變形區的塑性變形功率以及速度間斷面上消耗的功率,計算中考慮了由于前滑和后滑而產生的摩擦功率.根據剛塑性體的變分原理求解水平輥和兩個立輥軋制力和軋制力矩的近似解.通過比較理論值和實驗值可知,利用變分原理求出的力能參數近似解稍大于實驗值但最大誤差不超過20%,因此根據變分原理進行力能參數計算和軋制工藝參數設定及優化是比較可靠的.

     

    Abstract: In order to simplify the three-dimensional geometrical model of rail rolling by a universal mill, the vertical roll with box pass was simplified as an equivalent flat roll firstly. Then the kinematically admissible velocity fields of the web, head and base of a rail were determined. Based on these velocity fields, the plastic deformation power, the powers consumed on the velocity discontinuity surface and the powers generated for backward slip and forward slip were calculated. According to the variation principle, the roll forces of a horizontal roll and two vertical rolls were obtained. Compared with experimental data, the values of roll force from the upper-bound method are somewhat greater than experimental data but do not exceed them by 20% in general. The method with the variation principle is reliable and feasible to preset and optimize the parameters of rolling technology.

     

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