Transition Rack Tooth Geometry for Continuous Linear-Curved Motion
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Solution Overview
Problem
Existing power transmission apparatuses face challenges in continuously connecting linear tooth shapes with curved tooth shapes, particularly when the tooth shape curves are cycloid or trochoid, limiting their application in implementing continuous rectilinear and curvilinear motions in semiconductor or flat display equipment.
Innovation Solution
The integration of a rectilinear-curvilinear conversion rack with asymmetrically formed rectilinear-curvilinear conversion teeth, which matches the curvatures of both rectilinear and curvilinear racks, enables a stable and continuous connection between linear and curved tooth shapes, allowing for uninterrupted rectilinear and curvilinear motions by converting between the two.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If a rectilinear rack and a curvilinear rack are connected to each other to implement continuous rectilinear and curvilinear motions, then the productivity and continuity of motion are improved, but the device complexity and manufacturing difficulty increase due to the need to connect different curvature tooth shapes
Solution Approach 1:
A transition rack serving as an intermediary component is introduced between the rectilinear rack and the curvilinear rack. This transition rack contains transition teeth that gradually change curvature from linear to curved, enabling smooth connection and power transmission between the two different rack types without abrupt geometric discontinuities.
Solution Approach 2:
The rack system is segmented into three distinct parts: a rectilinear rack with linear teeth, a curvilinear rack with curved teeth, and a transition rack with gradient curvature teeth. This segmentation allows each component to be optimized independently while maintaining overall system functionality and continuity.
2Adaptability or versatility
If cycloid or trochoid curves are used for tooth shapes to enable curvilinear motion, then the motion capability is improved, but the ease of manufacture and connection decreases due to structural limits caused by different curvatures
Solution Approach 1:
The curvature parameter of the tooth shape is gradually changed along the transition rack. The transition teeth are designed with continuously varying curvature, transitioning from the zero curvature of linear teeth to the specific curvature of cycloid or trochoid curves, enabling manufacturable intermediate forms that bridge the geometric gap between different tooth shapes.
Solution Approach 2:
The rack system employs a composite tooth shape design where different curvature regimes (linear and curved) are combined within a single continuous structure. The transition rack integrates both rectilinear and curvilinear tooth characteristics, creating a hybrid form that facilitates manufacturing while maintaining functional requirements.
Data Source
AI summary
Provided is a power transmission apparatus. The power transmission apparatus includes a rectilinear rack allowing a pinion to perform a rectilinear motion by interacting with the pinion, a curvilinear rack allowing the pinion to perform a curvilinear motion by interacting with the pinion, and a rectilinear-curvilinear conversion rack connected to the rectilinear rack and the curvilinear rack between the rectilinear rack and the curvilinear rack, and converting the rectilinear motion and the curvilinear motion of the pinion.