生产节材型产品LP板和TRB板需要解决变厚度轧制参数计算问题,为此利用作用在微元体上的力平衡关系分别推导了趋薄轧制和趋厚轧制的力平衡微分方程,称为VGR方程。推导过程中考虑了轧辊在垂直方向上刚性位移速度vy的影响,获得了VGR方程对趋薄、趋厚轧制的统一表达形式,验证了Karman方程是VGR方程在vy=0时的特例。本研究为变厚度板材轧制参数的理论研究奠定了基础。
The production of materials saving products such as Longitude Profile Plates（LP plate） and Tailor Rolled Blanks（TRB） needs to solve the problem of the calculation of variable gauge rolling（VGR） parameters.For this reason,differential equations of force equilibrium for both upwards rolling and downwards rolling were built by means of analyzing the force equilibrium relationship on a micro slab inside the deformation zone,that is to say VGR equation.The effect of rolls′ rigid displacement velocity vy was considered during the derivation.Besides,Karman differential equation of force equilibrium for common rolling was proved to be a special case of VGR equations when vy=0.The VGR equation provides a base for theoretical research on VGR parameters.
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