CAJ | 학술논문

从坯壳材料的粘弹性(Maxwell模型)畸变关系和弹性体变关系出发，建立了连铸板坯鼓肚变形的粘弹性薄板计算模型。根据弹性—粘弹性的相应原理，得到了板坯鼓肚变形的解析解。与宝钢板坯连铸机鼓肚变形的设计公式及现有的其他公式相比，该解包含有弹性变形、粘性变形和弹性、粘性的耦合变形，能求出在任一时刻板坯内任一点的弯曲变形及鼓肚变形，并讨论了材料的松弛时间对板坯鼓肚变形的影响。
종배각재료적점탄성(Maxwell모형)기변관계화탄성체변관계출발，건립료련주판배고두변형적점탄성박판계산모형。근거탄성—점탄성적상응원리，득도료판배고두변형적해석해。여보강판배련주궤고두변형적설계공식급현유적기타공식상비，해해포함유탄성변형、점성변형화탄성、점성적우합변형，능구출재임일시각판배내임일점적만곡변형급고두변형，병토론료재료적송이시간대판배고두변형적영향。
Based on the distortion relation of Maxwell viscoelastic modeland the volume change relation of the elasticity in the slab shell materials, a mathematical model of visco-elastic thin plate for bulging deformation in continuous cast slab is established. Using the corresponding principle between elasticity and viscoelasticity, an analytical solution of bulging deformation in slab shell is obtained. Compared with the design formula for the continuous casting machine of Baoshan Iron and Steel Plant and other current design formula, the formula consists of the elastic deformation, viscous deformation and coupled deformation between elastic deformation and viscous deformation, and it may solve the bending deformation and bulging deformation of every point in slab shell at any instant. In addition,the influence of relaxation time of slab materials(characteristic value of creep)on bulging deformation of slab shell is also discussed.