Profile Measuring Instrument Abbe Error Compensation
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Solution Overview
Problem
Conventional profile measuring instruments struggle to accurately compensate Abbe's error, especially when the error model involves high-order transfer functions, and cannot effectively handle probes of different lengths or attitudes.
Innovation Solution
A profile measuring instrument with a controller that calculates translation- and rotation-compensation amounts based on the rotation frequency of the scanning movement, using a compensation-amount calculating unit and a rotation frequency calculating unit to approximate the Abbe's error with polynomial equations, allowing for appropriate compensation even with high-order transfer functions and varying probe lengths and attitudes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If compensation is based on acceleration and probe position using a spring model, then second-order terms can be expressed, but high-order transfer functions cannot be appropriately compensated
Solution Approach 1:
The patent changes the fundamental parameter basis for compensation from acceleration and position to rotation frequency. By using rotation frequency as the basis, the system can express high-order transfer functions through polynomial equations, enabling accurate compensation of Abbe's error that cannot be achieved with acceleration-based second-order models.
Solution Approach 2:
The patent replaces the mechanical spring model (which relates force, acceleration, and position) with a frequency-based mathematical model. This substitution allows the system to handle high-order dynamics through polynomial expressions of rotation frequency, overcoming the limitations of the traditional mechanical model.
2Adaptability or versatility
If the compensation model is fixed for a specific probe configuration, then compensation can be calculated, but it cannot handle probes of different lengths or attitudes
Solution Approach 1:
The patent introduces dynamic adaptability by making the compensation model adjustable based on probe configuration. The system can change compensation parameters according to the specific probe's length and attitude, allowing accurate compensation for various probe configurations without requiring a fixed model.
Solution Approach 2:
The patent creates a universal compensation system that can handle multiple probe configurations through a single adaptable model. By using rotation frequency as the basis and allowing parameter adjustment, the system achieves multi-functionality, working accurately with probes of different lengths and attitudes.
Data Source
AI summary
A coordinate measuring machine includes a probe having a measurement unit, a movement mechanism for moving the probe and a host computer for controlling the movement mechanism. The host computer includes: a compensation-amount calculating unit for calculating a compensation amount for compensating an error in the position of the measurement unit caused by the movement of the probe; and a compensator for compensating the error in the position of the measurement unit based on the compensation amount calculated by the compensation-amount calculating unit. The compensation-amount calculating unit calculates a translation-compensation amount for compensating a translation error of the probe and a rotation-compensation amount for compensating a rotation error of the probe based on a rotation frequency of the movement of the probe.