Work

A measure for the stability of structures immersed in a 2D laminar flow

Year: 2024

Type: article

Abstract: We introduce a new measure for the stability of structures, such as the cross-section of the deck of a suspension bridge, subject to a 2D fluid force, such as the lift exerted by a laminar wind. We consider a wide class of possible flows, as well as a wide class of structural shapes. Within a suitable topological framework, we prove the existence of an optimal shape maximizing the stability. Applications to engineering problems are also discussed.

Source: Bollettino Della Unione Matematica Italiana

DOI: 10.1007/s40574-024-00438-3

Authors: Edoardo Bocchi, Filippo Gazzola

Institution: Politecnico di Milano

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990