Orbit Machining Cutting Tool Velocity Control
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Solution Overview
Problem
Current methods for orbit machining, which involve turning a main shaft around a center, fail to maintain a constant cutting velocity, essential for achieving even cut faces, and lack clear criteria for controlling this velocity.
Innovation Solution
A cutting method that adjusts the turning angular velocity of the main shaft in association with changes in the distance from the center to the cutting tool, ensuring a constant cutting velocity by formulating ω1 = C^2 / Ṙ^2, where ω1 is the turning angular velocity, R is the distance, and Ṙ is its time differential, allowing for precise control of cutting velocity.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If orbit machining is used to form curved faces on workpiece, then machining versatility is improved, but cutting velocity cannot be maintained constant
Solution Approach 1:
The patent applies dynamics by making the turning angular velocity ω1 variable rather than constant. The main shaft's turning speed is dynamically adjusted according to the formula ω1 = C^2/Ṙ^2, where C is the desired constant cutting velocity and Ṙ is the time differential of the distance R. This dynamic adjustment compensates for changes in turning radius during orbit machining, maintaining constant cutting velocity while achieving versatile curved face machining.
Solution Approach 2:
The patent changes the parameter of turning angular velocity from a fixed value to a variable value that depends on the distance R and its time differential Ṙ. By continuously adjusting ω1 based on the relationship ω1 = C^2/Ṙ^2, the system maintains constant cutting velocity C while enabling orbit machining for forming various curved faces on the workpiece.
2Manufacturing precision
If cutting velocity is controlled to be constant, then manufacturing precision is improved, but control complexity increases
Solution Approach 1:
The patent implements feedback control by continuously monitoring the distance R from the center of orbit to the cutting tool and its time differential Ṙ, then using this information to adjust the turning angular velocity ω1 according to the formula ω1 = C^2/Ṙ^2. This feedback mechanism ensures constant cutting velocity while the control complexity is managed through a clear mathematical relationship rather than complex control algorithms.
Solution Approach 2:
The patent replaces complex mechanical velocity control mechanisms with a mathematical model-based control approach. Instead of using complex mechanical linkages or cam mechanisms to maintain constant cutting velocity, the system uses the formulated relationship ω1 = C^2/Ṙ^2 to calculate and control the turning angular velocity, simplifying the control system while improving precision.
Data Source
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AI summary
A cutting method in which, in cutting an inner circumferential face or an outer circumferential face of a work based on turning of a main shaft around a predetermined position serving as a center, control is enabled to make a cutting velocity constant accurately. To achieve the object, a cutting method is provided for an inner circumferential face or an outer circumferential face of a work, using a cutting tool projecting from a main shaft which turns around a predetermined position serving as a center and for which a turning radius is adjustable, wherein, in the case that a turning angular velocity of the main shaft is represented as ω, a distance from a turning center to a tip of the cutting tool is represented as R, and a cutting velocity of the tip of the cutting tool is set to a constant value C, making the cutting velocity of the cutting tool is made constant by performing control such that ω changes in association with a change in the distance R so that ω=C2−R˙212/R is formulated (where Ṙ denotes a time differential of the distance R), thus providing an even cut face.