Nonlinear Elastic Gasket Centroid Calculation for Prefabricated Assembly
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Solution Overview
Problem
Existing methods for assembling prefabricated components struggle to accurately determine the tension load for each Jack, leading to uneven seam widths and additional stress on components due to irregular component and gasket shapes.
Innovation Solution
A computer-implemented centroid calculation method for nonlinear elastic reaction force of gaskets in prefabricated components, which calculates the overall composite centroid of elastic reaction force of rubber gaskets with nonlinear characteristics, allowing for precise determination of tension loads to achieve even seam widths.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If the tension load of each Jack is determined by gradual approximation and continuous adjustment based on experience and observation, then the assembly process can be completed, but the tension load cannot be accurately determined, resulting in uneven seam widths and affecting positioning accuracy
Solution Approach 1:
The patent transforms the physical measurement problem into a mathematical calculation problem by changing the parameter representation from physical compression force to coordinate-based geometric calculation. The centroid position is calculated using coordinate geometry formulas based on the gasket's shape parameters, eliminating the need for complex physical measurement and iterative adjustment processes.
Solution Approach 2:
The patent replaces the mechanical trial-and-error adjustment system with a mathematical calculation system. Instead of using physical sensors and iterative mechanical adjustment, the invention uses coordinate geometry and centroid calculation formulas to directly determine the optimal tension load distribution, substituting mechanical complexity with mathematical precision.
2Manufacturing precision
If the centroid of reaction force is made to coincide with the geometric centroid, then even seam widths and uniform gasket compression are achieved, but the calculation becomes complex due to nonlinear elasticity of rubber material
Solution Approach 1:
The patent changes the calculation parameters from physical compression forces (which require nonlinear elastic material models) to geometric coordinates. By representing the gasket as a series of coordinate points along its centerline, the complex nonlinear elasticity problem is transformed into a straightforward geometric centroid calculation using basic coordinate geometry formulas.
Solution Approach 2:
The patent focuses the calculation on the critical local feature - the centerline of the gasket - rather than analyzing the entire three-dimensional stress distribution. By concentrating the computational effort on the one-dimensional centerline coordinates, the invention achieves accurate centroid positioning without the complexity of full nonlinear elastic analysis.
3Adaptability or versatility
If irregular shapes of components and rubber gaskets are considered, then realistic assembly conditions are modeled, but the determination of tension load becomes inaccurate and produces unexpected additional stress
Solution Approach 1:
The patent segments the irregularly shaped gasket into a series of small coordinate points along its centerline. This segmentation allows the calculation to accommodate any irregular shape by simply recording the coordinates, while the centroid formula automatically handles the complexity, transforming an intractable irregular shape problem into a systematic coordinate-based calculation.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This method ensures that the centroid of reaction force of the gasket coincides with the geometric centroid, resulting in consistent compression of gaskets and even seam widths, thereby improving assembly accuracy, quality, and efficiency.
Implementation Method 1
Since the rubber gasket is a typical material with nonlinear elasticity, there is no linear relationship between the compression amount and the reaction force amount when it is compressed
Data Source
Figure 1A~1C
Figure 2A~3
Figure 3A~4
AI summary
Provided are a Centroid calculation method for nonlinear elastic reaction force of gasket of prefabricated components of assembly type, comprising: Step 1 of obtaining an image of a prefabricated component of assembly type; Step 2 of correcting the obtained image; Step 3 of extracting key information of the image; Step 4 of correcting the key information of components in the image; Step 5 of establishing a coordinate set of key image points of the component; Step 6 of calculating a geometric centroid of the rubber gasket; Step 7 of calculating a centroid KF of reaction force of the rubber gasket. An overall composite centroid of elastic reaction force of rubber gaskets with nonlinear characteristics material can be calculated when the waterproof rubber gaskets set between the components are compressed to different states with tension loads, thus tension load at next moment of tensioning Jack can be determined, to gradually approach a target position of the components of assembly type, and achieve a preset seam width and ensure that the seam width is even.