Rotating Shaft Displacement Calculation via Sector Segmentation
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Solution Overview
Problem
Existing methods for calculating the maximum displacement (Smax) of rotating shafts in vibration monitoring often result in high error rates or require excessive computation, making real-time output challenging.
Innovation Solution
A method that measures the current shaft position, determines the centroid and sector, compares distances to stored maximums, and calculates the maximum displacement peak-to-peak over a predetermined period, using a digital processing unit to provide near real-time output with reduced errors.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If prior art methods are used to calculate Smax, then measurement can be obtained, but error rates are high (up to 30%)
Solution Approach 1:
The patent divides the rotation cycle into multiple sectors (e.g., 8 sectors of 45 degrees each) and tracks the maximum displacement separately for each sector. This segmentation allows the system to identify and exclude erroneous measurements from specific angular ranges while maintaining accurate Smax calculation from valid measurements, thereby reducing overall error rates.
Solution Approach 2:
The system continuously monitors the shaft position, compares current measurements against stored maximum values for each sector, and updates the maximum displacement calculations in real-time. This feedback mechanism allows the system to correct and refine measurements dynamically, improving accuracy by adapting to changing operational conditions.
2Measurement precision
If complex computation methods are used to reduce error rates, then measurement precision improves, but computation time increases excessively
Solution Approach 1:
By dividing the rotation into discrete sectors and maintaining separate maximum tracking for each sector, the patent simplifies the computation to basic comparison operations rather than complex continuous calculations. This segmented approach reduces computational complexity while maintaining high measurement precision.
Solution Approach 2:
The system pre-divides the rotation cycle into fixed sectors and maintains pre-allocated storage for maximum values in each sector. This preliminary organization of data structures allows for rapid retrieval and comparison operations during real-time processing, significantly reducing computation time while preserving accuracy.
3Productivity
If simple computation methods are used, then real-time output is enabled, but error rates increase
Solution Approach 1:
The patent segments the measurement process into simple, discrete operations: determining current position, identifying the sector, comparing with stored maximums, and updating if necessary. This segmentation enables real-time processing through basic arithmetic and comparison operations while maintaining precision through systematic tracking across multiple sectors.
Solution Approach 2:
The system dynamically updates the maximum displacement values based on real-time shaft position measurements, adapting to changing operational conditions. This dynamic approach allows simple computation methods to achieve both real-time output capability and measurement precision by continuously refining results based on actual data.
Data Source
AI summary
A method is disclosed for monitoring the vibration of a rotating shaft including, measuring a current shaft position and determining a centroid of the shaft. The current shaft sector is then determined. The current distance between the centroid and the current shaft position may then be determined. The current distance is compared with a previously stored maximum distance for that sector, and if greater, the current shaft position and current distance is stored as the new maximum for that sector. After a predetermined period of time, the maximum displacement between the stored maximum positions is calculated, which represents the maximum shaft displacement peak to peak. This value may then be visually displayed or automatically monitored by shaft control computers.