Ring Body Angle Scale Segmentation for High-Speed Shaft Fatigue
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Solution Overview
Problem
Existing angle measuring systems for high-speed machine parts, particularly shafts, face limitations in maximum permissible speed and fatigue strength due to high centrifugal forces, posing safety concerns.
Innovation Solution
A ring-shaped body with an angle scale featuring radial recesses and elevations, where the sum of central angles defined by recesses is less than those defined by elevations, allowing for positive non-rotatable attachment and optimized geometry to enhance fatigue strength and permissible speed, with the angle scale potentially applied using magnetic or optical methods.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If a ring-shaped body with angle scale is used for high-speed shafts, then the measurement function is achieved, but the centrifugal forces at high speeds exceed the fatigue strength limits
Solution Approach 1:
The ring-shaped body is segmented into multiple radial recesses and elevations distributed around the circumference. This segmentation creates a more uniform stress distribution pattern, preventing stress concentration at any single location and thereby increasing the fatigue strength to withstand high-speed centrifugal forces.
Solution Approach 2:
The recesses and elevations are strategically positioned at specific locations around the ring to optimize stress distribution. By localizing geometric features rather than making the entire structure uniform, the design achieves high fatigue strength while maintaining the necessary measurement functionality.
2Strength
If the sum of central angles of recesses is made smaller than that of elevations, then fatigue strength increases, but the attachment geometry becomes more complex
Solution Approach 1:
The design employs asymmetric distribution of recesses and elevations around the ring circumference. By making the angular distribution non-uniform (with recesses occupying smaller total angle than elevations), the structure achieves optimized stress distribution and higher fatigue strength while maintaining practical manufacturability.
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 design achieves significantly higher permissible speeds and required fatigue strength, minimizing mechanical stress and maximizing operational safety at high speeds.
Implementation Method 1
The angle scale can have, for example, an optical or a magnetic graduation, which can be scanned accordingly
Implementation Method 2
the angle scale can have, for example, an optical or a magnetic graduation, which can be scanned accordingly
Implementation Method 3
these are exposed to enormous centrifugal forces
Implementation Method 4
At least one of the recesses is suitable for positive, non-rotatable attachment to the machine part
Data Source
Figure 1~2b
Figure 3~4
Figure 5
AI summary
The annular body (1) has radial recesses (3,4) and an elevation at an inner periphery of the annular body. An angular scale (2) is provided, where the sum of angle at center, which is defined by starting points (S epsilon-3,S epsilon-4,S alpha-3,S alpha-4) and ending points (E alpha-2,E alpha-3,E epsilon-3,E epsilon-5) elevation that is smaller than the sum of angle at center. The angles at center are each defined by starting and ending points of the recesses.