Structural Optimization with Uncertainties (Solid Mechanics and Its Applications)

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.Get the Book now from Amazon:https://www.amazon.com/Structural-Optimization-Uncertainties-Mechanics-Applications/dp/9048125170?&linkCode=ll2&tag=cvthunderx-20&linkId=49cba140839635a868089a47dfe0bac7&language=en_US&ref_=as_li_ss_tlYou can listen and download our episodes for free on more than 10 different platforms:https://linktr.ee/civil_engineering_made_simpleProduced by:https://www.podcaistudio.com/