Machine Tool Support Point Optimization via Deformation Index

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Solution Overview

Problem

Conventional methods for determining optimal locations for three-point support configurations in machine tools often rely on designer experience, leading to suboptimal choices among possible combinations, affecting the stability and precision of machine leveling.

Innovation Solution

A method using a computer device to calculate optimal coordinate sets for supporting points based on deformation index values, derived from finite element analysis and response surface methodology, ensuring objective and scientific determination of support point locations.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If designers use software tools to perform simulation for several candidate location combinations based on experience, then the machine leveling process becomes more systematic, but the optimal location combination may still not be the best choice among all possible combinations

Engineering Contradiction:

Improvemachine leveling processVSAvoidoptimal location determination

Core Design Contradiction:

Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent transforms the discrete candidate location combinations into continuous coordinate parameters (x1, y1), (x2, y2), (x3, y3) that can be optimized mathematically. By establishing deformation index equations that relate supporting point coordinates to guide rail deformation, the system enables continuous parameter optimization rather than discrete comparison, achieving precise determination of optimal locations among all possible combinations.

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent replaces the experience-based mechanical selection process with a mathematical optimization system. By using deformation index equations and coordinate optimization algorithms, the system objectively determines the optimal supporting point locations that minimize guide rail deformation, substituting subjective designer judgment with objective mathematical optimization.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

2Reliability

If multiple candidate location combinations are evaluated through simulation, then the assessment becomes more comprehensive, but the time and computational resources required increase

Engineering Contradiction:

Improveassessment comprehensivenessVSAvoiddetermination time

Core Design Contradiction:

ReliabilityVSLoss of time

Solution Approach 1:

The patent establishes deformation index equations in advance that directly relate supporting point coordinates to guide rail deformation characteristics. These pre-established mathematical models enable direct calculation of deformation indices for any coordinate set without requiring full finite element simulations, significantly reducing computational time while maintaining assessment comprehensiveness through the optimized coordinate search.

Inventive Principle:

Principle #10Preliminary action

Data Source

PatentUS10493584B2Method for determining locations of supporting points for a machine tool

Publication Date: 2019.12.03 NATIONAL CHUNG CHENG UNIV

AI summary

A method for determining locations of supporting points for a machine tool is proposed. Multiple test coordinate sets in relation to the machine tool are used in cooperation with corresponding deformation index values for multiple components of the machine tool to obtain a deformation index equation that relates to assessed deformation of the components in response to different coordinates for the supporting points. The deformation index equation is used to acquire an optimal coordinate set for the supporting points.