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Research on Optimization of Height Difference of a Precision Horizontal Machining Center
Lin Han1,2, Zhenyun Zhang1,2, Xueguang Tian1,2
1School of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 300222, China.
Micromachines
|October 26, 2024
Summary
This study presents a method to find the optimal height difference for machine tool guideways not on the same plane. An optimal difference minimizes deflection and maximizes resonant frequency, crucial for machine tool stability.
Area of Science:
- Mechanical Engineering
- Machine Tool Design
- Vibrational Analysis
Background:
- Machine tools often feature guideways not positioned on the same horizontal plane.
- This configuration presents challenges in maintaining precision and stability.
- Understanding the impact of guideway height difference is critical for optimal performance.
Purpose of the Study:
- To develop a methodology for determining the optimal height difference between machine tool guideways.
- To analyze the static and dynamic performance implications of varying guideway height differences.
- To provide guidance for the design of machine tools with non-coplanar guideways.
Main Methods:
- A rigid-flexible coupling system modeled as an equivalent mechanical system of a column and spindle box.
- Mathematical modeling of the relationship between reference point deviation, height difference, and spindle box stroke.
- Derivation of natural frequency, mode shape functions, and frequency response functions for the coupled system.
Main Results:
- An optimal height difference exists that minimizes relative deflection across the moving part's stroke.
- The optimal height difference is contingent upon directional loads and the moving part's stroke.
- An optimal height difference also exists for maximizing the first-order resonant frequency, though it differs from the static optimum.
Conclusions:
- The study provides a framework for selecting optimal guideway height differences in machine tools.
- Static and dynamic optimization criteria yield different optimal height differences.
- Informed selection of height difference is essential for enhancing machine tool precision and stability.
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