Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates

E Berchio, A Falocchi - Journal of Spectral Theory, 2021 - ems.press
We study the spectrum of non-homogeneous partially hinged plates having structural
engineering applications. A possible way to prevent instability phenomena is to maximize …

On the first frequency of reinforced partially hinged plates

E Berchio, A Falocchi, A Ferrero… - Communications in …, 2021 - World Scientific
We consider a partially hinged rectangular plate and its normal modes. The dynamical
properties of the plate are influenced by the spectrum of the associated eigenvalue problem …

[HTML][HTML] A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges

F Gazzola, M Jleli, B Samet - Mathematics in Engineering, 2023 - aimspress.com
We give a new full explanation of the Tacoma Narrows Bridge collapse, occurred on
November 7, 1940. Our explanation involves both structural phenomena, such as parametric …

An orthotropic plate model for decks of suspension bridges

A Ferrero - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
The main purpose of the present paper is to compare two different kinds of approaches in
modeling the deck of a suspension bridge: in the first approach we look at the deck as a …

[HTML][HTML] On the numerical solution to a non-classical problem of bending and stability for an orthotropic beam of variable thickness

SS Pa - Вестник Томского государственного университета …, 2021 - cyberleninka.ru
The mathematical model of the problem of bending of an elastically clamped beam is
constructed on the basis of the refined theory of orthotropic plates of variable thickness. To …

Some solutions of minimaxmax problems for the torsional displacements of rectangular plates

PRS Antunes, F Gazzola - ZAMM‐Journal of Applied …, 2018 - Wiley Online Library
We consider an optimal shape problem aiming to reduce the torsional displacements of a
partially hinged rectangular plate. The cost functional is the gap function, namely the …

A note on an orthotropic plate model describing the deck of a bridge

A Ferrero - arXiv preprint arXiv:2110.00421, 2021 - arxiv.org
The purpose of this work is to develop a model for a rectangular plate made of an orthotropic
material. If compared with the classical model of the isotropic plate, the relaxed condition of …

A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions

E Berchio, A Falocchi - Annali di Matematica Pura ed Applicata (1923-), 2021 - Springer
It is well known that for higher order elliptic equations, the positivity preserving property
(PPP) may fail. In striking contrast to what happens under Dirichlet boundary conditions, we …

The non-classical problem of an orthotropic beam of variable thickness with the simultaneous action of its own weight and compressive axial forces

RM Kirakosyan, SP Stepanyan - … of the YSU A: Physical and …, 2019 - journals.ysu.am
Abstract thickness, the equations of the problem of bending of an elastically clamped beam
in the case of simultaneous action of its own weight and axial compressive forces are …

Spectral optimization of inhomogeneous plates

E Davoli, I Mazari, U Stefanelli - SIAM Journal on Control and Optimization, 2023 - SIAM
This article is devoted to the study of spectral optimization for inhomogeneous plates. In
particular, we consider the optimization of the first eigenvalue of a vibrating plate with …