Method for analyzing the stability of turning a frustoconical thin-walled structure
By establishing vibration differential equations considering the rotating Coriolis effect and multimodal vibration of the shell under cantilever-free boundary conditions, the natural frequencies and mode shapes of the truncated cone thin-walled structure are calculated, and stability lobe diagrams are generated. This solves the problem of inaccurate prediction in the prior art and achieves more accurate turning stability analysis.
Patent Information
- Application Number
- CN202211549321.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2022-12-05
- Publication Date
- 2026-01-30
- Estimated Expiration
- 2042-12-05
AI Technical Summary
Existing technologies fail to simultaneously consider the effects of the workpiece's rotational Coriolis effect and the shell's multimodal vibration when analyzing the turning stability of truncated cone thin-walled structures, leading to inaccurate prediction results.
Using a cantilever-free boundary condition method, a vibration differential equation considering rotational centrifugal force, Coriolis force, and initial ring tension is established. The vibration displacement field is expressed by combining circumferential trigonometric functions and axial continuous smooth functions. Through numerical discretization and eigenvalue analysis, the natural frequencies and mode shapes of the rotating truncated cone thin-walled structure are calculated. A turning dynamics model of flexible workpiece-tool coupling is established, and a stability lobe diagram is generated.
It enables more accurate prediction of the stability of the turning process of truncated cone thin-walled structures, and provides more reliable machining guidance.