Structural Optimization with Uncertainties (Solid Mechanics and Its Applications)

Summary

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 t…

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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 pro

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