2023/01/09 by Mario de Jesús Zambrano Miranda, Marta de Miranda, De Miranda, Mario +7
Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mechanical stress and fatigue analysis #Structural Engineering and Vibration Analysis #Vibration and Dynamic Analysis
paper · pdf · doi:10.48550/arxiv.2301.03226
openalex publication_date 2023/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Starting from an applicative problem related to the modeling of an element of a cable-stayed bridge, we compute the elasticity solution for a hollow cylinder loaded at the end faces with axial loads. We prove results of symmetry for the solution and we expand it in proper Fourier series; computing the Fourier coefficients in adapted power series, we provide the explicit solution. We consider an engineering case of study, applying the corresponding approximate formula and giving some estimates on the error committed with respect to the truncation of the series.