Cube-Corner Retroreflective Article with Asymmetric Quadrilateral Elements
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Solution Overview
Problem
Conventional cube-corner retroreflective articles fail to achieve excellent entrance and rotation angle characteristics due to inefficient shapes of reflective lateral surfaces and limited tilt directions of optical axes, leading to suboptimal retroreflective efficiency and appearance.
Innovation Solution
A cube-corner retroreflective article with quadrilateral elements having specific ratios of reflective surface areas and tilt angles, where each element has two trapezoidal and one pentagonal or isosceles-triangular reflective surfaces, with optical axes tilting in specific ranges to enhance entrance and rotation angle characteristics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional quadrilateral elements with standard shapes are used, then manufacturing is simple, but entrance angle characteristic and rotation angle characteristic are poor
Solution Approach 1:
The patent applies parameter changes by optimizing the specific dimensions and proportions of the quadrilateral element's reflective lateral surfaces. By adjusting the area ratios of the trapezoidal and pentagonal/isosceles-triangular surfaces, and setting specific tilt angles for the optical axes, the invention transforms a standard simple shape into an optimized complex shape that achieves excellent entrance angle and rotation angle characteristics while maintaining manufacturability.
Solution Approach 2:
The patent employs asymmetry by designing quadrilateral elements with non-uniform reflective lateral surfaces consisting of two trapezoidal surfaces and one pentagonal or isosceles-triangular surface. The asymmetric arrangement of these surfaces with specific area ratios, combined with tilted optical axes, creates directional retroreflective properties that significantly improve entrance angle and rotation angle characteristics compared to symmetric designs.
2Reliability
If optical axes are tilted to improve entrance angle characteristic, then entrance angle characteristic is improved, but observation angle characteristic and rotation angle characteristic are not optimized
Solution Approach 1:
The patent applies local quality by differentiating the properties of different parts of the quadrilateral element. Specifically, the two trapezoidal reflective lateral surfaces and one pentagonal or isosceles-triangular surface have different areas and orientations, with their optical axes tilted at specific angles. This localized differentiation of surface properties enables the element to simultaneously optimize entrance angle, observation angle, and rotation angle characteristics.
Solution Approach 2:
The patent introduces another dimension by tilting the optical axes of the quadrilateral elements in addition to the standard perpendicular orientation. This dimensional change from a single-axis perpendicular arrangement to a multi-axis tilted arrangement enables the retroreflective article to maintain high performance across multiple viewing angles and rotation positions, thereby improving adaptability.
3Reliability
If reflective lateral surfaces have standard shapes, then manufacturing is easy, but retroreflective efficiency is low
Solution Approach 1:
The patent optimizes retroreflective efficiency through parameter changes by precisely controlling the area ratios of the reflective lateral surfaces and the tilt angles of the optical axes. These parameter optimizations maximize the retroreflective performance while the overall quadrilateral structure and standardized manufacturing processes maintain ease of production.
Solution Approach 2:
The patent employs composite structural design by combining different types of reflective lateral surfaces (trapezoidal and pentagonal/isosceles-triangular) with specific area ratios within a single quadrilateral element. This composite approach allows each surface type to contribute differently to the retroreflective performance, achieving high efficiency while using conventional materials and manufacturing techniques.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The solution significantly improves the entrance and rotation angle characteristics, leading to enhanced retroreflective efficiency and appearance, making the article suitable for applications like traffic signs and retroreflective clothing.
Implementation Method 1
cube-corner element having reflective lateral surfaces including two trapezoidal reflective lateral surfaces and one pentagonal or isosceles-triangular reflective lateral surface
Implementation Method 2
optical axes of the quadrilateral elements tilt so as to improve an entrance angle characteristic
Data Source
AI summary
A cube-corner retroreflective article is provided with a number of cube-corner retroreflective element pairs each formed by a pair of cube-corner retroreflective elements sharing one side. Each of the cube-corner retroreflective elements has reflective lateral surfaces including two trapezoidal reflective lateral surfaces and one pentagonal or isosceles-triangular reflective lateral surface, and a projection shape of a quadrangle when projected onto a common plane, wherein ratios (rHA/rHC and rHB/rHC) between a length (rHC) of a ridge (HC) shared by the trapezoidal reflective lateral surfaces (HAFC and HBGC) and lengths (rHA and rHB) of other ridges (HA and HB) are in a range of 0.5 to 1.5.