中厚板多辊矫直机结构力学理论分析

Theoretical analysis on structural mechanics for multi-roll straightener of plate

针对实际矫直后的矫直板存在残余应力的工程问题,通过空间描述法的世界线法,结合现代几何学对现有矫直机的工作辊系进行了几何构造分析,得出:矫直机的工作辊系形成了特有的结构力学连拱结构。依据结构力学中等拱高的连拱结构中奇数拱为几何不变体系、偶数拱为几何可变体系的理论,分析得出:工作辊系整体布置应符合奇数辊几何不变体系,偶数辊采用预应力法实现几何不变体系。对矫直金属板进行结构力学分析得出:入口侧辊系主要提供矫直压力,出口侧辊系主要提供金属板水平推力。工程实测的试验结果补充并完善了矫直机出口侧矫直辊系受力出现峰值的理论依据。

For the engineering problem of residual stress existing in the actual straightened plate,the work roll system of existing straightener was geometrically analyzed by world line method of spatial description method and modern geometry,and it was concluded that the work roll system of straightener formed a unique structural mechanical multi-arch structure.Then,according to the theory of structural mechanics that the odd-numbered arch is a geometrically invariant system and the even-numbered arch is a geometrically variable system in multi-arch structure with equal arch height.The results show that the overall arrangement of work roll system should conform to the geometric invariant system of odd-numbered rolls,and the geometric invariant system of even-numbered rolls can be realized by the prestressed method.Furthermore,the straightening metal plate was analyzed by structural mechanics,and it is concluded that the roll system of inlet side mainly provides the straightening pressure,and the roll system of outlet side mainly provides the horizontal thrust of metal plate.According to the actual test results,the theoretical basis for the peak force of straightening roll system on the outlet side of straightener was supplemented and perfected.