A minimaxmax problem for improving the torsional stability of rectangular plates
From MaRDI portal
Publication:1637349
DOI10.1007/s10957-018-1261-1zbMath1392.35119arXiv1802.07230OpenAlexW3124711041MaRDI QIDQ1637349
Elvise Berchio, Davide Zucco, Davide Buoso, Gazzola, Filippo
Publication date: 8 June 2018
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.07230
Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Variational methods for higher-order elliptic equations (35J35)
Related Items (10)
A minimaxmax problem for improving the torsional stability of rectangular plates ⋮ An orthotropic plate model for decks of suspension bridges ⋮ INVESTIGATION OF THE INFLUENCE OF AN INTERMEDIATE HINGE SUPPORT IN THE PROBLEM OF BENDING OF AN ELASTICALLY RESTRAINED ORTHOTROPIC BEAM ⋮ Spectral Optimization of Inhomogeneous Plates ⋮ Some solutions of minimaxmax problems for the torsional displacements of rectangular plates ⋮ A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ On the first frequency of reinforced partially hinged 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A partially hinged rectangular plate as a model for suspension bridges
- Principal compliance and robust optimal design
- 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
- Weak uniqueness and partial regularity for the composite membrane problem
- Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\)
- Material interpolation schemes in topology optimization
- A minimaxmax problem for improving the torsional stability of rectangular plates
- Hexagonal design for stiffening trusses
- Mathematical models for suspension bridges. Nonlinear structural instability
- Variation and optimization of formes. A geometric analysis
- A linearized approach to worst-case design in parametric and geometric shape optimization
- 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
- Lateral excitation of bridges by balancing pedestrians
- A Measure of the Torsional Performances of Partially Hinged Rectangular Plates
This page was built for publication: A minimaxmax problem for improving the torsional stability of rectangular plates