Multi-Axis Error Synthesis Model for Posture Accuracy
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Solution Overview
Problem
Conventional error estimation technologies for multi-axis controlled machines are inefficient in calculating and automating the relationships between geometric errors, leading to low accuracy in estimating final posture errors, especially in machines with multiple axes.
Innovation Solution
A method and apparatus that define the configuration of multi-axis controlled machines, including drive axes and their relationships, using a generalized error synthesis model to generate an error map without direct processing, allowing for the estimation of geometric errors and their impact on final posture without moving the machine.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional error estimation methods are used to measure geometric errors in multi-axis machines, then the measurement process becomes simpler, but the accuracy of estimating final posture errors deteriorates due to complex interlinkages between drive axes
Solution Approach 1:
The patent segments the complex error synthesis model into modular components: drive axis error models, coordinate transformation matrices, and error propagation modules. Each drive axis error is modeled independently and then synthesized through systematic coordinate transformations, making the complex model manageable and computationally efficient while maintaining high accuracy in final posture error estimation.
2Measurement precision
If direct operation of multi-axis machine is performed to measure final posture error, then measurement accuracy improves, but time consumption and operational complexity increase
Solution Approach 1:
The patent performs preliminary error synthesis modeling during the machine design and setup phase, creating a comprehensive error model that predicts final posture errors under various operating conditions. This preliminary action allows engineers to evaluate and compensate for errors before actual machining operations, eliminating the need for time-consuming direct measurements during production while maintaining high measurement accuracy.
3Adaptability or versatility
If the number of drive axes in multi-axis machine increases, then the machine's functionality and versatility improve, but the complexity of error interlinkages and estimation difficulty increase
Solution Approach 1:
The patent develops a universal error synthesis modeling framework that can handle any number and configuration of drive axes through standardized coordinate transformation matrices and error propagation algorithms. This multi-functional approach allows the same mathematical model to accurately predict final posture errors for machines with 3 axes, 5 axes, or more, regardless of the specific mechanical configuration, thereby reducing estimation difficulty while maintaining versatility.
Data Source
AI summary
A method and apparatus for estimating error in a multi-axis controlled machine is applicable to any type of machine configuration in order to estimate and confirm in advance the final position and the posture of the machine, which are produced when geometric errors of the machine are synthesized. The method includes defining the structure of the multi-axis controlled machine subjected to error estimation; and defining parameters, which represent behaviors of drive axes having geometric error and relationships between the drive axes according to the defined structure of the multi-axis controlled machine, adding the defined parameters by applying the parameters to a generalized error synthesis model, and generating an error synthesis model of the multi-axis controlled machine by applying a result of parametric modeling in response to a result of the adding.