Transcribed

Structural Optimization with Uncertainties (Solid Mechanics and Its Applications)

Jul 10, 2026 · 19m 49s
Structural Optimization with Uncertainties (Solid Mechanics and Its Applications)
Description

Explores engineering design under incomplete information. It establishes a framework for optimizing the shape and material distribution of structures, such as beams, plates, and shells, when variables like loading, material...

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Explores engineering design under incomplete information. It establishes a framework for optimizing the shape and material distribution of structures, such as beams, plates, and shells, when variables like loading, material properties, and damage are not precisely known. The authors contrast probabilistic approaches, which rely on statistical data, with the guaranteed approach, which utilizes a "worst-case scenario" (minimax) strategy to ensure structural reliability. Mathematical proofs and prototype problems demonstrate how these uncertainties are transformed into deterministic constraints using the calculus of variations and functional analysis. Ultimately, the text serves as a technical guide for creating efficient, high-performance structures that remain safe under unpredictable environmental conditions.

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Author Civil Engineering Made Simple
Organization Civil Engineering Made Simple
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