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

التفاصيل البيبلوغرافية
العنوان: A measure for the stability of structures immersed in a 2D laminar flow
المؤلفون: Bocchi, Edoardo, Gazzola, Filippo
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 35Q35, 76D05, 74F10
الوصف: 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.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.05314
رقم الأكسشن: edsarx.2404.05314
قاعدة البيانات: arXiv