On the first frequency of reinforced partially hinged plates
From MaRDI portal
Publication:5152070
DOI10.1142/S0219199719500743zbMath1459.35124arXiv1904.09173OpenAlexW3104484514MaRDI QIDQ5152070
Alberto Ferrero, Elvise Berchio, Debdip Ganguly, Alessio Falocchi
Publication date: 18 February 2021
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09173
Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15)
Related Items
An orthotropic plate model for decks of suspension bridges ⋮ A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ About symmetry in partially hinged composite plates ⋮ Optimization of the Structural Performance of Non-homogeneous Partially Hinged Rectangular Plates ⋮ Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates ⋮ A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions ⋮ On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam
Cites Work
- Unnamed Item
- Unnamed Item
- A partially hinged rectangular plate as a model for suspension bridges
- Analysis and numerical studies of a problem of shape design
- Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\)
- A minimaxmax problem for improving the torsional stability of rectangular plates
- Symmetry and rigidity for the hinged composite plate problem
- Mathematical models for suspension bridges. Nonlinear structural instability
- The singular set for the composite membrane problem
- Steiner symmetry in the minimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- A simplified method for the free vibration and flutter analysis of bridge decks
- On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
- Homogenization of a thin plate reinforced with periodic families of rigid rods
- Optimization problems for an elastic plate
- Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- Symmetry in the composite plate problem
- Conformal Geometry and the Composite Membrane Problem
- A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
- Eigenvalues of polyharmonic operators on variable domains
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
