3D Motion Guide Turn Path With Tangent-Continuous Trajectory
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Solution Overview
Problem
The existing motion guide apparatuses face issues with three-dimensional complex turn portions where tangent lines are not continuous with the rolling path and return portion, leading to deteriorated movement, reduced durability, and noise generation.
Innovation Solution
A motion guide apparatus with a three-dimensional turn portion formed by combining cross-sectional and longitudinal trajectory curves, ensuring tangent line continuity with the rolling path and return portion, using a rail member, block, and rolling elements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If a three-dimensional trajectory is formed by sweeping cross-sectional and longitudinal curves independently, then the turn portion can accommodate complex spatial constraints, but the tangent lines become discontinuous at connection points with the rolling path and return portion
Solution Approach 1:
The patent merges the cross-sectional trajectory curve and longitudinal trajectory curve into a unified three-dimensional trajectory definition. By combining these two curves with continuous tangent lines at connection points, the invention achieves both complex spatial adaptability and tangent continuity, resolving the technical contradiction between versatility and reliability.
2Reliability
If the turn portion uses a simple arc trajectory, then the tangent line continuity is maintained, but the ability to accommodate complex spatial constraints is limited
Solution Approach 1:
The patent transitions from simple two-dimensional arc trajectories to three-dimensional trajectories by incorporating both cross-sectional and longitudinal curve components. This dimensional expansion enables the turn portion to accommodate complex spatial constraints while maintaining tangent line continuity through proper mathematical formulation of the 3D path.
3Adaptability or versatility
If the trajectory is made complex to satisfy spatial constraints, then adaptability improves, but manufacturing precision requirements increase
Solution Approach 1:
The patent segments the three-dimensional trajectory formation into two independent components: cross-sectional trajectory curves and longitudinal trajectory curves. This segmentation simplifies the manufacturing process by allowing each component to be formed separately with standard precision, then combined mathematically to achieve the complex 3D shape without requiring excessive overall manufacturing precision.
Data Source
AI summary
At least part of the three-dimensional trajectory of the turn portion is formed on the basis of a cross-sectional trajectory curve in an X-Z cross section of the motion guide apparatus, and a longitudinal trajectory curve drawn on a virtual plane VP where a longitudinal direction of the motion guide apparatus is a Y-axis, and a trajectory length ω from a turn start point A of the cross-sectional trajectory curve is a length ω of a W-axis. X and Z coordinates of the threedimensional trajectory are X and Z coordinates of the crosssectional trajectory curve. A Y-coordinate of the threedimensional trajectory is a Y-coordinate of the longitudinal trajectory curve where the ω of the W-axis of the virtual plane VP is a variable.