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  HomeContents of Chinese Journal of Mechanical Engineering 2001 No.2MATHEMATICAL MODEL OF VISCO-ELASTIC THIN PLATE AND ANALYSES OF BULGING DEFORMATION FOR CONTINUOUS CAST SLABS

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


Wang Zhongmin  Liu Hongzhao

(Xi'an University of Technology)

Yang Ladao  Yan Ruihe

(Xi'an Institute of Heavy Machinery)

 

Abstract: 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.

Key words: Continuous cast slab  Mathematical model of the visco-elastic thin plate slab  Bulging deformation  Corresponding principle between elasticity and viscoelasticity
CLC No: TF777.1
国家自然科学基金资助项目、机械工业部教育司基金资助项目. Received 20000127, received in revised form 20000720

 

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