Tape Roll Reflectors: Preventing Cracking During Winding
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Solution Overview
Problem
Tape rolls with added reflectors suffer from deterioration of shiny appearance due to cracking when wound into a roll shape, leading to voids in the flexible material layer and reduced reflection efficiency.
Innovation Solution
The tape roll is designed with flat plate-shaped reflectors that satisfy specific relationships between minimum radius, flexural modulus, bending strength, and average particle diameter, ensuring minimal strain and preventing cracking, while the adhesive layer configuration ensures efficient reflection by maintaining a large average particle diameter and preventing perpendicular arrangement of reflectors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Illumination intensity
If flat plate-shaped reflectors are added to the tape to achieve desired color appearance and glossy appearance, then the visual appearance is improved, but cracking occurs when the tape is wound into a roll shape, leading to deterioration of shiny appearance and formation of voids
Solution Approach 1:
The patent applies parameter changes by establishing specific mathematical relationships between the reflector dimensions (average particle diameter 2L), mechanical properties (flexural modulus G, bending strength A), and winding conditions (minimum radius R). The relationship R/L{1−cos(L/R)}<A/G ensures that the strain during winding remains below the breaking point of the reflectors, thereby preventing cracking while maintaining the shiny appearance.
2Volume of moving object
If the tape is wound with a small radius to achieve compact roll shape, then the space efficiency is improved, but the strain on reflectors increases, causing cracking and void formation
Solution Approach 1:
The patent uses parameter changes to determine the minimum winding radius R based on the reflector properties (average particle diameter 2L, flexural modulus G, bending strength A). By establishing the relationship R/L{1−cos(L/R)}<A/G, the patent enables compact winding while ensuring the reflectors do not crack, thus maintaining both small roll size and reflector integrity.
3Use of energy by moving object
If reflectors with large average particle diameter are used to enhance reflection efficiency, then the reflection efficiency is improved, but the reflectors are more prone to cracking during winding
Solution Approach 1:
The patent applies parameter changes by establishing a balanced relationship between reflector size and mechanical strength. The formula R/L{1−cos(L/R)}<A/G shows that larger reflectors (larger L) require proportionally larger winding radii (R) to maintain the same strain level. This allows use of larger, more efficient reflectors while preventing cracking by adjusting the winding radius accordingly.
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
This design maintains the shiny appearance of the tape by preventing reflector cracking and void formation, while maintaining high reflection efficiency and creating a deep stereoscopic effect.
Implementation Method 1
the tape before being wound comprising a flexible material layer, the flexible material layer comprising flat plate-shaped reflectors inside
Data Source
AI summary
The disclosure discloses a tape roll that winds a tape with a minimum radius R. The tape before being wound includes a flexible material layer. The flexible material layer includes flat plate-shaped reflectors inside and having a thickness T. On condition that a flexural modulus of the reflectors is G, a bending strength of the reflectors is A, and an average particle diameter of the reflectors is 2L, the reflectors satisfy the following relationships R/L{1−cos(L/R)}<A/G, and 2L>T.