CAJ | 학술논문

针对冷轧带钢生产现场常见的板形翘曲缺陷，应用辛弹性力学方法对因材料纵向延伸在厚度方向上出现不均匀而导致带钢翘曲变形的现象及过程进行了解析研究，通过建立和求解带钢翘曲变形力学模型，推导获得带钢翘曲度大小和不均匀纵向延伸的关系。在选择通用有限元软件验证了基于辛弹性力学方法的带钢翘曲变形力学模型及计算结果的正确性的基础上，计算得到了各个影响因素对翘曲变形的影响规律。计算结果表明，带钢翘曲度大小随着带钢上下表面纵向延伸差和横向与纵向延伸差比值的增大而线性地增大，随着带钢厚度增大而减小，随着带钢宽度增大而呈二次关系增大。最后，应用辛弹性力学方法带钢翘曲变形模型，研究了C翘向L翘的转化现象，建立了C翘转化为L翘的力学模型，获得其转化关系公式，并通过现场实验验证了转化公式的准确性。
침대랭알대강생산현장상견적판형교곡결함，응용신탄성역학방법대인재료종향연신재후도방향상출현불균균이도치대강교곡변형적현상급과정진행료해석연구，통과건립화구해대강교곡변형역학모형，추도획득대강교곡도대소화불균균종향연신적관계。재선택통용유한원연건험증료기우신탄성역학방법적대강교곡변형역학모형급계산결과적정학성적기출상，계산득도료각개영향인소대교곡변형적영향규률。계산결과표명，대강교곡도대소수착대강상하표면종향연신차화횡향여종향연신차비치적증대이선성지증대，수착대강후도증대이감소，수착대강관도증대이정이차관계증대。최후，응용신탄성역학방법대강교곡변형모형，연구료C교향L교적전화현상，건립료C교전화위L교적역학모형，획득기전화관계공식，병통과현장실험험증료전화공식적준학성。
The common shape defect of warping deformation, which is caused by the uneven vertical elongation of strips in the thickness direction, was studied by applying symplectic elasticity method. The relationship between the warping value and the distribu-tion of vertical elongation was obtained through establishing and solving a mechanical model of warping deformation. Based on the cor-rectness of the mechanical model and calculated results which were verified by general finite element method, the influence laws of fac-tors on warping deformation were gotten by deduction and calculation. It is shown that the warping value increases linearly with the in-creasing elongation difference between the top and bottom surfaces and the increasing ratio of the transverse to vertical elongation differ-ence, decreases with increasing strip thickness, but increases quadratically with increasing strip width. Finally, the phenomenon of C-warping converting to L-warping was studied by using the symplectic elasticity model of warping deformation, a mechanical model of C-warping converting to L-warping was established, and the formula for this converting was obtained, which was verified by field experi-ment.