An approach based on the variational method! Deriving the sensitivity with respect to the function representing the cross-sectional area.
Last time, we discussed how to define the Lagrange function to determine the sensitivity of compliance in a one-dimensional cantilever beam, using design variables represented as a function of cross-sectional area. This time, let's look at the approach based on the calculus of variations to derive the stationary conditions and the derivatives with respect to the cross-sectional area. Please feel free to download and take a look. [Contents] ■ Episode 27: Sensitivity of Compliance Part 5 "Derivation of Sensitivity with Respect to the Function Representing Cross-Sectional Area" *For more details, please refer to the PDF document or feel free to contact us.
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Kuin Co., Ltd. is a venture business company specializing in computational mechanics and CAE software development, established with a strong desire to "enter the overwhelmingly overseas-dominated CAE software field with original Japanese products." We are committed to originality and operate under the motto "Dreamy CAE from Japan," focusing on the development, sales, and support of our own CAE software. ≪Software≫ ● Structural Optimization Design OPTISHAPE-TS Useful structural optimization for various situations such as initial design stages and improvements of existing shapes. ● CAD Model Generation S-Generator Converts optimized shapes into CAD models. ● Image-Based Structural Analysis VOXELCON Directly models and analyzes CT images and STL data from CAD. ● General Parameter Optimization AMDESS Parameter optimization done in a way that feels like using spreadsheet software. ● SOLIDWORKS Add-in Structural Optimization Design HiramekiWorks Performs structural optimization within SOLIDWORKS and automatically generates CAD models of the resulting shapes.