most citedShape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system

13 citations · 14 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2016

On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate

Elvise Berchio, Davide Buoso, Filippo Gazzola

We consider a partially hinged rectangular plate and its normal modes. There are two families of modes, longitudinal and torsional. We study the variation of the corresponding eige…

math.SP2016

On the stability of some isoperimetric inequalities for the fundamental tones of free plates

Davide Buoso, L. Mercredi Chasman, Luigi Provenzano

We provide a quantitative version of the isoperimetric inequality for the fundamental tone of a biharmonic Neumann problem. Such an inequality has been recently established by Chas…

math.OC2014

On a classical spectral optimization problem in linear elasticity

Davide Buoso, Pier Domenico Lamberti

We consider a classical shape optimization problem for the eigenvalues of elliptic operators with homogeneous boundary conditions on domains in the -dimensional Euclidean space.…

math.SP2014

Shape differentiability of the eigenvalues of elliptic systems

Davide Buoso

We consider second order elliptic systems of partial differential equations subject to Dirichlet and Neumann boundary conditions. We prove analyticity of the elementary symmetric f…

math.SP20141 cited

On the eigenvalues of a biharmonic Steklov problem

Davide Buoso, Luigi Provenzano

We consider an eigenvalue problem for the biharmonic operator with Steklov-type boundary conditions. We obtain it as a limiting Neumann problem for the biharmonic operator in a pro…

math.SP201413 cited

Shape sensitivity analysis of the eigenvalues of the Reissner-Mindlin system

Davide Buoso, Pier Domenico Lamberti

We consider the eigenvalue problem for the Reissner-Mindlin system arising in the study of the free vibration modes of an elastic clamped plate. We provide quantitative estimates f…