Refiner Plate Design with Equidistant Curved Bars
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Solution Overview
Problem
The design of curved bars for refiner plates is complex due to the difficulty in defining the angle of inclination, which hinders efficient design and manufacturing processes.
Innovation Solution
A method is developed to design refiner plates with equidistant curved bars by establishing equations for center circle arcs and edge circle arcs using polar coordinates, allowing for precise determination of bar angles and positions, and optimizing the design based on refining process requirements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If curved bars are used in refiner plates, then the attack angle change during bar interaction is reduced, but the design complexity of the curved bars increases
Solution Approach 1:
The patent applies parameter changes by transitioning from complex curve equations to simple polar coordinate equations. The curved bars are defined by parameters including polar radius R, polar angle θ, starting angle α, and equidistant spacing d. This parameterization allows the curved bars to maintain stable attack angles while being designed through straightforward mathematical relationships rather than complex curves.
Solution Approach 2:
The patent uses the concept of copying by creating equidistant curved bars through systematic replication. Once a center curved bar is designed with specific polar coordinates, additional curved bars are generated by copying this pattern at equal angular intervals. This ensures consistency in attack angle characteristics across all curved bars while simplifying the overall design process.
2Adaptability or versatility
If traditional curve equations are used for curved bars, then the design can accommodate various shapes, but the design process becomes complex and time-consuming
Solution Approach 1:
The patent replaces the traditional mechanical approach of fitting complex curve equations with a mathematical substitution using polar coordinates. Instead of using cumbersome Cartesian coordinate equations or spline curves, the design employs simple polar relationships where the radius and angle directly define the curved bar geometry. This substitution dramatically reduces design time while maintaining shape flexibility through parameter adjustment.
Solution Approach 2:
The patent transforms the design approach by changing the parameter representation from complex curve coefficients to simple polar parameters (R, θ, α, d). This parameter change allows designers to control curved bar shapes through intuitive geometric parameters rather than solving complex differential equations, thereby reducing design time while preserving adaptability.
3Productivity
If curved bars with varying widths are used, then the refining performance can be optimized, but the manufacturing precision requirements increase
Solution Approach 1:
The patent addresses manufacturing precision by changing the parameter definition to explicitly account for bar width. The width of each curved bar is defined as a separate parameter that can be uniformly controlled. This parameterization ensures that all curved bars maintain consistent widths despite their curved geometry, simplifying manufacturing requirements while allowing performance optimization through equidistant spacing and angular distribution.
Data Source
AI summary
The present invention discloses a method for designing a refiner plate with equidistant curved bars, comprising following steps of: designing a central bar are of center curved bar and defining the bar angle for the equidistant curved bar; designing circle arcs for curved bars on two sides of center curved bar of equidistant curved bar segment; when the whole refining segment is full of circle arcs, trimming lines of outer circle arcs of the refining segment to complete the design of equidistant circle arcs on the two sides; and if required, dividing the bars into zones. In the present invention, by the definition of the bar angle for the curved bars and the parametric design of the equidistant curved bars by using circle are equations, it is ensured that the flexibility in designing an equidistant curved bar refiner plate is improved.