Helical Spring 3D Modeling Using Interpolated Turn Geometry
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Solution Overview
Problem
Conventional methods for designing helical springs require repeated manual adjustments of parameters, leading to time-consuming and laborious processes, especially in determining three-dimensional parameter information for various states, which affects design efficiency.
Innovation Solution
A method that uses interpolation techniques, such as Hermite's interpolation, to determine the radius and z-coordinate positions of helical spring turns based on twist angle and longitudinal overall length, allowing for automated modeling and design without relying on personal experience, utilizing existing three-dimensional mechanical design software like CATIA.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If manual adjustment of parameters is used to determine three-dimensional parameter information of helical spring turns, then design flexibility and adaptability are maintained, but design time and labor consumption increase significantly
Solution Approach 1:
The patent applies parameter changes by using interpolation methods to automatically calculate three-dimensional parameter information (coordinates, radii, twist angles) of helical spring turns based on a small number of key parameters. This transforms the manual adjustment process into an automated computational process, maintaining design flexibility through programmable parameter control while dramatically reducing design time and labor consumption.
Solution Approach 2:
The patent replaces the mechanical manual adjustment system with a computational system using interpolation algorithms. Instead of manually adjusting three-dimensional parameters, the system automatically computes them based on key input parameters, substituting human labor with mathematical computation to achieve both time efficiency and design adaptability.
2Manufacturing precision
If repeated verification and manual parameter changes are performed to meet design requirements, then design accuracy and requirement compliance are improved, but productivity and design efficiency decrease
Solution Approach 1:
The patent applies preliminary action by pre-calculating three-dimensional parameter information for all helical spring turns using interpolation methods before detailed design verification. This preliminary computation provides accurate initial parameters that closely meet design requirements, reducing the need for repeated verification cycles and significantly improving design efficiency while maintaining high accuracy.
Solution Approach 2:
The patent implements self-service through automated self-verification of design parameters. The interpolation-based computational system automatically generates and validates three-dimensional parameter information without requiring repeated manual verification, enabling the design process to self-correct and self-validate, thereby improving both accuracy and productivity.
3Productivity
If automated interpolation methods are used to determine three-dimensional parameter information, then design efficiency and productivity are significantly improved, but design complexity and computational requirements increase
Solution Approach 1:
The patent applies segmentation by dividing the helical spring into discrete turns and calculating three-dimensional parameters for each turn independently using interpolation methods. This segmentation approach breaks down the complex computational task into manageable segments, improving design efficiency while keeping computational complexity at each segment level relatively simple and controllable.
Data Source
AI summary
A method of modeling and designing a helical spring, the helical spring including a top end turn (1), a top transition turn (2), an active turn (3), a bottom transition turn (4), and a bottom end turn (5) from top to bottom, the method including: utilizing first interpolation to determine the radius (R3) of the active turn (3), wherein the active turn (3) is as a function of the longitudinal overall length (L) of the helical spring; and utilizing second interpolation to determine the radius (R2) and the z-coordinate position (Z2) of the top transition turn (2) and the radius (R2) and the z-coordinate position (Z2) of the bottom transition turn (4), wherein each of the z-coordinate position (Z3(θ, L)) of the active turn (3), the radius (R2) and the z-coordinate position (Z2) of the top transition turn (2) and the radius (R2), and the z-coordinate position (Z2) of the bottom transition turn (4) is as a function of the longitudinal overall length (L) and the twist angle (θ) of the helical spring.