Roll Stand Wedging Optimization via Polynomial Radius Curves
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Solution Overview
Problem
Existing roll stands face challenges in optimizing the wedging of backup rolls to achieve optimum operating conditions without compromising the adjustment range and minimizing axial forces and torques, especially when interacting with work rolls.
Innovation Solution
The roll stand employs radius curves for both work and backup rolls represented by polynomial equations of third or fifth degree, with specific coefficients and optimization parameters to adjust the wedging, ensuring the backup rolls' radius curves are adapted to the work rolls' contours, thereby optimizing the contact lengths and distribution of loads.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Force
If polynomial radius curves are used to minimize axial forces and torques, then roll bearing loads are reduced, but the complexity of determining appropriate coefficients increases
Solution Approach 1:
The patent provides specific mathematical relationships and formulas for determining the polynomial coefficients (a0-a5 for work rolls, s0-s5 for backup rolls). These formulas express the coefficients in terms of each other, reducing the independent parameters that need to be determined and simplifying the design process while maintaining the ability to minimize axial forces and torques.
Data Source
AI summary
The invention relates to a roll stand for rolling a product, in particular made of metal, comprising a pair of first rollers contacted by a pair of second rollers supporting the first rollers, wherein the first roller and the second rollers have an asymmetrical radius curve (CVC grind) relative to a center plane, wherein the radius curve of the first rollers is represented by a polynomial of the third or fifth order. In order to design the wedging of a second roller supporting a first roller such that optimal operating conditions are set, the invention proposes that the radius curve of the second roller is given by a polynomial of the third or fifth order, wherein special relationships are prescribed for the ratios between the coefficients.