Sheet Metal Mass Estimation via Element Segmentation
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Solution Overview
Problem
Existing methods for estimating the mass of numerically formed sheet metal panels are inaccurate due to variations in thickness caused by metal forming processes, which are not considered in uniform thickness modeling.
Innovation Solution
A method and system that use a processor to generate element data from a component data file, determining the mass of each element based on its area and average thickness, and summing these masses to calculate the component mass, incorporating user-input or data-file-derived material density, with the option to display percent differences from nominal masses.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If uniform thickness modeling is used for sheet metal components, then the modeling process is simplified, but the mass estimation accuracy deteriorates due to unaccounted thickness variations from metal forming processes
Solution Approach 1:
The sheet metal component is divided into multiple finite elements, each representing a small region with relatively uniform thickness. By segmenting the component into triangular or quadrilateral elements with defined nodes, the system can capture local thickness variations while maintaining computational feasibility. Each element's mass is calculated individually based on its specific thickness, and the total mass is obtained by summing all element masses.
Solution Approach 2:
Instead of applying a single uniform thickness value across the entire component, the patent assigns different thickness values to different spatial locations and elements. The thickness varies locally based on the forming process effects, with thinner regions where stretching occurs and thicker regions where compression occurs. This local quality approach ensures accurate mass representation in each region.
2Measurement precision
If spatial thickness variations are accounted for in mass calculation, then mass estimation accuracy is improved, but the computational complexity increases due to element-by-element analysis
Solution Approach 1:
The component is segmented into a mesh of simple geometric elements (triangles or quadrilaterals) with defined nodes and areas. This segmentation transforms the complex continuous thickness variation problem into a discrete sum of simple element masses, making the computation manageable while maintaining accuracy.
Solution Approach 2:
The system automatically generates the element mesh and calculates element areas using geometric formulas (such as Heron's formula for triangles) based on node coordinates. The thickness at each element is determined from the thickness values at its nodes, and the mass calculation is performed automatically without requiring manual intervention, thus reducing the perceived complexity for the user.
3Measurement precision
If element data with node information and thickness data is generated for each element, then the mass calculation accuracy is improved, but the data processing requirements increase
Solution Approach 1:
The component geometry is represented as a mesh of elements with nodes at their vertices. Each element stores only the essential data needed for mass calculation: node identifiers, node coordinates (for area calculation), and thickness values at nodes. This segmented data structure minimizes redundancy while capturing all necessary information for accurate mass computation.
Solution Approach 2:
The element mesh and associated data (node coordinates, thickness values) are generated in advance from the component geometry, before the mass calculation is performed. This preliminary action organizes the data in a structured format that facilitates efficient processing, reducing the computational burden during the actual mass calculation phase.
Data Source
AI summary
In accordance with various embodiments, methods and systems are provided for estimating the mass of a numerically formed sheet metal panel. In one embodiment, a method includes: receiving, by a processor, a component data file that includes data that defines a geometry of a sheet metal component; generating, by the processor, element data based on the component data file, wherein the element data defines a plurality of elements of the component; determining, by the processor, a mass of each element of the plurality of elements based on the element data; determining, by the processor, a component mass based on a summation of the masses of the plurality of elements; and generating, by the processor, component mass data for display or design based on the determined component mass.