Screen Winding Control via Polynomial Position Mapping
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Solution Overview
Problem
Existing methods for controlling screens with load bars and flexible elements, such as roller blinds, require complex and time-consuming measurements to determine initial winding diameter and thickness, making them difficult to implement efficiently.
Innovation Solution
A method that uses a polynomial function to control the angular movement of the winding member, allowing for easier and faster movement of the load bar between positions by calculating the instantaneous axial position based on the angular position, eliminating the need for precise initial measurements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If measurements of initial winding diameter and panel thickness are taken to configure the roller blind, then the screen movement can be controlled, but the implementation becomes complex and time-consuming
Solution Approach 1:
The patent extracts and eliminates the need for complex measurements of winding diameter and panel thickness. By using a polynomial function that directly relates angular position to axial position, the method removes the requirement for these difficult-to-obtain parameters, simplifying the control system while maintaining precision.
Solution Approach 2:
The patent replaces the mechanical measurement and configuration process with a mathematical model (polynomial function). Instead of physically measuring and configuring the system based on dimensional parameters, the control is achieved through a mathematical relationship between angular and axial positions, which is easier to implement and more robust.
2Manufacturing precision
If measurements and validations are taken at predetermined distances, then the screen configuration is accurate, but the process takes time and requires delicate implementation
Solution Approach 1:
The patent performs preliminary action by establishing a polynomial function model that can directly calculate the required angular position for any desired axial position. This pre-established mathematical relationship eliminates the need for time-consuming step-by-step measurements and validations during actual screen configuration, allowing for rapid and accurate positioning.
Solution Approach 2:
The patent creates a mathematical copy (polynomial function) of the physical relationship between winding angle and load bar position. This mathematical model serves as a virtual representation that can be computed instantly, replacing the need for repeated physical measurements and validations, thus reducing implementation time while maintaining precision.
3Loss of information
If the load bar is brought into multiple positions for measurements, then the configuration data is complete, but the process becomes delicate and time-consuming
Solution Approach 1:
The patent creates a universal polynomial function that can determine angular position for any axial position within the range, not just at specific measurement points. This single mathematical model serves multiple purposes: it provides complete configuration data, enables rapid calculation, and works for any position without requiring repeated measurements, thus achieving both data completeness and operational simplicity.
Data Source
AI summary
A screen (1) includes a load bar (2), a flexible element (3) supporting the load bar, and a controlled member (4) for winding the flexible member, wherein the member is controlled according to a method that includes controlling the angular movement of the winding member (4) with a temporal set value (θ(t)) of the instantaneous angular position of the winding member, the temporal set value being predetermined from a profile representative of the desired instantaneous axial position for the load bar upon a movement between the first and second positions, using a polynomial function of a degree higher than or equal to 2, which approximates the relation between a value of the instantaneous axial position (H(t)) of the load bar and an instantaneous angular position (γ(t)) of the winding member (4).