连铸板坯的粘弹性板模型及鼓肚变形分析

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

MATHEMATICAL MODEL OF VISCO ELASTIC THIN PLATE AND ANALYSES OF BULGING DEFORMATION FOR CONTINUOUS CAST SLABS

Based on the distortion relation of Maxwell viscoelastic model and 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