Proof of unified curvature theorem by reciprocating bending and its application
There is currently no concise and intuitive mathematical derivation and proof for the uniform cur-vature theorem by reciprocating bending,which is widely used in the field of straightening.In this article,based on load-deflection bending theory model,mainly focus on the changes of bending deflection during the bending pro-cess and avoid the complex calculations of stress,curvature,and calculus equations etc.during the bending process,the uniform curvature theorem by reciprocating bending is rigorously derived and proved according to the straight-ening theorem.This enriched the existing straightening theory,and provided a theoretical foundation for the for-mulation of straightening process.A height-adjustable block has been developed in the research,which has achieved significant results in practical applications.The use of this height-adjustable block allows for convenient,controllable,and stable straightening operations.During the straightening process,there is no need to pay any atten-tion to the original bending degree of each bent steel.Generally,straightening can be completed by performing a back pressure contact with the block before unloading.After straightening,the accuracy is high and the straightness is stable,which can meet various straightness performance requirements.