On the Analytical Solution of PDEs in Bounded Domains and Applications to Inhomogeneous Tapered Elastic Solids

• Published in: Lobachevskii journal of mathematics Vol. 45; no. 8; pp. 3646 - 3656
• Main Author: Migliaccio, Giovanni
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.08.2024; Springer Nature B.V
• Subjects: Algebra; Analysis; Boundary conditions; Cross-sections; Cylinders; Elastic analysis; Euclidean geometry; Euclidean space; Exact solutions; Geometry; Mathematical analysis; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Partial differential equations; Probability Theory and Stochastic Processes; Strain analysis; Three dimensional analysis; Wind turbines; tapered cylinder; material inhomogeneity; flexure problem

Slender elastic solids with tapered cross-sections are widespread in engineering applications, e.g., as components of wind turbines and bridges. They occupy a non-prismatic cylindrical bounded region of the three-dimensional Euclidean space. This makes the analytical prediction of their state of str...