Plate-like Member Shape Optimization via Stress Conversion
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Solution Overview
Problem
Conventional shape optimization methods for structures face challenges in analyzing stress and shape correspondence, requiring complex efforts and being dependent on operator skill and time, with limited flexibility in shape changes based on initial parameters.
Innovation Solution
A shape optimization method for plate-like members that identifies bend stress points, membrane stress points, and calculates offset variables and distances to minimize or maximize stress conversions, allowing for flexible shape adjustments within allowable ranges to reduce Mises stress.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional shape optimization methods are used, then structural analysis can be performed, but it is difficult to analyze stress and shape correspondence and requires complex operator effort
Solution Approach 1:
The system automatically identifies bend stress points, calculates offset variables, and determines optimal shape changes without requiring operator intervention. The computer automatically performs stress analysis, identifies critical points, and generates shape modification instructions, making the system self-sufficient and eliminating complex operator efforts.
Solution Approach 2:
The patent replaces manual operator analysis and decision-making with automated computer-based stress analysis and shape optimization algorithms. The mechanical process of operator inspection and manual shape adjustment is substituted with automated computational methods that calculate offset variables and generate optimal shape changes.
2Adaptability or versatility
If only initial shape parameter values are changeable, then shape changes are limited to fixed ranges, but this restricts achieving optimal shapes
Solution Approach 1:
The system dynamically determines shape changes based on calculated offset variables rather than being constrained by fixed initial parameter ranges. The shape modification is adaptive and responsive to the actual stress distribution, allowing the structure to evolve toward optimal shapes without being limited by predetermined parameter boundaries.
Solution Approach 2:
The patent changes the fundamental approach from modifying initial shape parameters within fixed ranges to directly calculating offset variables that define the actual shape modification. This parameter transformation enables continuous and flexible shape changes based on stress analysis results, achieving optimal shapes that were previously inaccessible.
3Reliability
If manual shape changes are performed based on stress distribution, then shape optimization can be attempted, but it is time-consuming and depends on operator skill
Solution Approach 1:
The system implements automated feedback loops where stress analysis results directly inform shape modification decisions. The computer continuously analyzes stress distributions, calculates offset variables, and adjusts shapes accordingly, creating a closed-loop optimization process that eliminates manual iteration and significantly reduces time while improving reliability.
Solution Approach 2:
Manual operator-based shape optimization is completely replaced with automated computer algorithms that perform stress analysis, calculate optimal shape changes, and generate modification instructions. This substitution eliminates the time-consuming manual process and removes dependency on operator skill, providing consistent and reliable results.
Data Source
AI summary
A shape optimization method of a plate-like member which has a concavo-convex shape and includes: identifying a bend stress point where a bend stress is higher in a mode where a specific load is applied to the plate-like member; identifying a bend axis from a distribution of stress vectors around the bend stress point; identifying, in an orthogonal surface to the bend axis, a pair of membrane stress points where a ratio of a membrane stress to a sum of the bend stress and the membrane stress is higher; calculating an offset variable which is a distance between a line segment connecting the pair of the membrane stress points and the bend stress point; and identifying a shape of the plate-like member so as to minimize the offset variable.


