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of 62
pro vyhledávání: '"Berchio, E."'
The paper deals with a nonlinear evolution equation describing the dynamics of a non homogeneous multiply hinged beam, subject to a nonlocal restoring force of displacement type. First, a spectral analysis for the associated weighted stationary probl
Externí odkaz:
http://arxiv.org/abs/2010.10336
Autor:
Berchio, E., Falocchi, A.
We consider a partially hinged composite plate problem and we investigate qualitative properties, e.g. symmetry and monotonicity, of the eigenfunction corresponding to the density minimizing the first eigenvalue. The analysis is performed by showing
Externí odkaz:
http://arxiv.org/abs/2009.06267
Autor:
Berchio, E., Falocchi, A.
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 prove that the PPP holds for the biharmonic operator on rectangu
Externí odkaz:
http://arxiv.org/abs/2004.03862
We model the roadway of a suspension bridge as a thin rectangular plate and we study in detail its oscillating modes. The plate is assumed to be hinged on its short edges and free on its long edges. Two different kinds of oscillating modes are found:
Externí odkaz:
http://arxiv.org/abs/1502.05851
Motivated by the instability of suspension bridges, we consider a class of second order Hamiltonian systems where one component initially holds almost all the energy of the system. We show that if the total energy is sufficiently small then it remain
Externí odkaz:
http://arxiv.org/abs/1410.2374
We consider least energy solutions to the nonlinear equation $-\Delta_g u=f(r,u)$ posed on a class of Riemannian models $(M,g)$ of dimension $n\ge 2$ which include the classical hyperbolic space $\mathbb H^n$ as well as manifolds with unbounded secti
Externí odkaz:
http://arxiv.org/abs/1409.2748
Autor:
Berchio, E., Gazzola, F.
In a fish-bone model for suspension bridges studied by us in a previous paper we introduce linear aerodynamic forces. We numerically analyze the role of these forces and we theoretically show that they do not influence the onset of torsional oscillat
Externí odkaz:
http://arxiv.org/abs/1409.1769
Autor:
Berchio, E., Gazzola, F.
We consider a mathematical model for the study of the dynamical behavior of suspension bridges. We show that internal resonances, which depend on the bridge structure only, are the origin of torsional instability. We obtain both theoretical and numer
Externí odkaz:
http://arxiv.org/abs/1404.7351
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