Trochoidal Timepiece Display for Compact Peripheral Readability
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Solution Overview
Problem
Existing watch display mechanisms that generate non-circular needle trajectories are often bulky and complex, making it difficult to display information accurately and precisely on the periphery of the dial.
Innovation Solution
A display mechanism for a timepiece comprising a mobile rotated around a display axis with a satellite pivoted on a satellite axis parallel to the display axis, where the indicator is secured to the satellite and positioned at a distance greater than the distance between the axes, allowing the indicator to pivot in the opposite direction, increasing the distance traveled and enhancing readability and precision.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Volume of moving object
If the indicator is positioned close to the satellite axis to reduce mechanism size, then the drive mechanism becomes more compact, but the indicator travel distance decreases making reading less accurate
Solution Approach 1:
The indicator is positioned at a distance d2 from the satellite axis that is greater than or equal to the distance d1 between the satellite axis and display axis, extending the indicator's path into a larger dimensional space. This creates a trochoidal trajectory that increases the display perimeter without proportionally increasing the overall mechanism volume, thereby improving reading accuracy while maintaining compactness.
Solution Approach 2:
The patent optimizes the geometric parameters d1 and d2 to achieve the desired balance. By setting d2 ≥ d1, the indicator travels a sufficient distance for accurate reading while the satellite's orbital path around the display axis keeps the overall mechanism compact. The specific parameter relationship creates an efficient trochoidal trajectory.
2Measurement precision
If the indicator travels a longer distance to improve reading accuracy, then information display precision increases, but the mechanism becomes bulkier and more complex
Solution Approach 1:
The indicator describes a trochoidal trajectory by combining the satellite's rotation around the display axis with the indicator's rotation around the satellite axis. This two-dimensional motion pattern allows the indicator to cover a larger display perimeter without requiring additional complex mechanical components, thereby improving precision while maintaining simplicity.
Solution Approach 2:
The satellite component performs multiple functions: it orbits the display axis to generate the trochoidal path, carries the indicator, and its rotational motion itself contributes to the display trajectory. This multi-functionality reduces the need for separate components, keeping the mechanism simple while achieving high display precision.
3Measurement precision
If the indicator is positioned at a greater distance from the satellite axis, then the display perimeter increases improving readability, but the mechanism volume increases
Solution Approach 1:
The trochoidal trajectory utilizes both the satellite's orbital motion around the display axis (distance d1) and the indicator's motion around the satellite axis (distance d2). This two-dimensional approach allows the indicator to cover a large perimeter for improved readability while the compact orbital configuration keeps the overall mechanism volume controlled.
Solution Approach 2:
The patent establishes an optimal parameter relationship where d2 ≥ d1, creating an efficient trochoidal path. This parameter optimization ensures that the indicator achieves sufficient travel distance for high readability while the geometric configuration maintains a compact mechanism volume through the efficient use of spatial parameters.
Data Source
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AI summary
The invention relates to a mechanism for displaying an information for a timepiece, comprising a mobile (10) intended to be driven in rotation by the movement of the timepiece about a display axis (17), a satellite (20) pivoted on the mobile (10) about a satellite axis (27) parallel to the display axis (17) and remote from a non-zero distance d1 thereof, a display area (80), an indicator (50) secured to the satellite (20) and the position of which relative to the display area (80) provides the information, and a crown (30) centered on the display axis (17) and kinematically connected to the satellite (20). The mechanism is particular in that the indicator (50) is located at a distance d2 from the satellite axis (27), which is greater than or equal to the distance d1.