Rotating Body Rolling Analysis Using Local Mesh Mapping
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Solution Overview
Problem
Existing methods for analyzing the rolling of rotating bodies face a trade-off between computational cost and analytic precision, as finely dividing computational mesh cells improves precision but increases cost, while coarsening them reduces precision but decreases cost.
Innovation Solution
A method where computational mesh cells are more finely divided in specific regions of the rotating body, with rolling analysis and mapping processing performed in repeated cycles to match surface shapes and retain physical quantities, allowing for reduced computational cost without compromising precision.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If computational mesh cells are more finely divided throughout the entire model, then analytic precision is improved, but computational cost increases
Solution Approach 1:
The patent applies local quality by establishing finely divided computational mesh cells only in specific regions (region Ar1) where high precision is needed, rather than uniformly across the entire model. This allows the invention to maintain adequate analytic precision in critical areas while avoiding the computational cost of fine division throughout the whole model.
Solution Approach 2:
The patent segments the computational model into different regions with different mesh cell densities. Region Ar1 contains finely divided mesh cells for high-precision analysis, while other regions use coarser mesh cells. This segmentation resolves the contradiction by localizing computational resources to where they are most needed.
2Use of energy by stationary object
If computational mesh cells are made more coarse, then computational cost decreases, but analytic precision degrades
Solution Approach 1:
The patent applies local quality by establishing finely divided computational mesh cells only in specific regions (region Ar1) where high precision is needed, rather than uniformly across the entire model. This allows the invention to maintain adequate analytic precision in critical areas while avoiding the computational cost of fine division throughout the whole model.
Solution Approach 2:
The patent segments the computational model into different regions with different mesh cell densities. Region Ar1 contains finely divided mesh cells for high-precision analysis, while other regions use coarser mesh cells. This segmentation resolves the contradiction by localizing computational resources to where they are most needed.
Data Source
AI summary
A method is disclosed for analyzing the rolling of a rotating body that will make it possible to simultaneously achieve reduction in computational cost and attainment of adequate analytic precision. The method includes: a step (S100, S101) in which a structural model is acquired; a step (S103) in, which a region Ar1 on a rotating body T at which finely divided computational mesh cells are established is made to come in contact with the ground, and rolling analysis processing is performed in which rolling is made to occur in an amount that is an angle corresponding to N minimum units (where N is a natural number not less than 1); and a step (S105) in which mapping processing is performed in which physical quantities at computational mesh cells as they exist following the rolling analysis processing are copied to corresponding computational mesh cells at a rolling start time.