scholarly journals Sharp estimates for the anisotropic torsional rigidity and the principal frequency

2018 ◽  
Vol 457 (2) ◽  
pp. 1153-1172 ◽  
Author(s):  
Giuseppe Buttazzo ◽  
Serena Guarino Lo Bianco ◽  
Michele Marini
Keyword(s):  
Torsional Rigidity ◽  
Sharp Estimates ◽  
Principal Frequency

scholarly journals Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes

2020 ◽  
Vol 26 ◽  
pp. 111 ◽  
Author(s):  
Gloria Paoli ◽  
Gianpaolo Piscitelli ◽  
Leonardo Trani
Keyword(s):  
Boundary Conditions ◽  
Convex Sets ◽  
Torsional Rigidity ◽  
Neumann Boundary ◽  
Robin Boundary Conditions ◽  
First Eigenvalue ◽  
Laplacian Eigenvalue ◽  
Sharp Estimates ◽  
The First Eigenvalue ◽  
Robin Boundary

We study, in dimension n ≥ 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian on convex sets with holes, with external Robin boundary conditions and internal Neumann boundary conditions. We prove that the annulus maximizes the first eigenvalue and minimizes the torsional rigidity when the measure and the external perimeter are fixed.

scholarly journals Symmetry results for variational energies on convex polygons

2020 ◽  
Author(s):  
Dorin Bucur ◽  
Ilaria Fragala
Keyword(s):  
Shape Optimization ◽  
Optimization Problems ◽  
Torsional Rigidity ◽  
Logarithmic Capacity ◽  
Convex Polygons ◽  
Principal Frequency

We prove that, in the class of convex polygons with a given number of sides,  the regular $n$-gon is optimal for some shape optimization problems involving the torsional rigidity, the principal frequency of the Laplacian, or the logarithmic capacity.

CHASSIS TORSIONAL RIGIDITY: VALIDATION OF FEA DATA BY EXPERIMENTAL TEST

2019 ◽  
Author(s):  
Luís Fernando Marzola da Cunha ◽  
Matheus Lisboa Cardoch Valdes ◽  
Rhander Viana ◽  
Danilo dos Santos Oliveira ◽  
Luiz Eduardo Rodrigues Vieira
Keyword(s):  
Experimental Test ◽  
Torsional Rigidity

scholarly journals Analytical solution for torsion of cylindrical orthotropic annular wedge-shaped bars reinforced by thin shells

2021 ◽  
Author(s):  
István Ecsedi ◽  
Attila Baksa
Keyword(s):  
Analytical Solution ◽  
Cross Section ◽  
Analytical Method ◽  
Torsional Rigidity ◽  
Circular Ring ◽  
Thin Shells ◽  
Elastic Wedge ◽  
Curved Boundary ◽  
Cylindrically Orthotropic ◽  
Boundary Surfaces

AbstractThis paper deals with the Saint-Venant torsion of elastic, cylindrically orthotropic bar whose cross section is a sector of a circular ring shaped bar. The cylindrically orthotropic homogeneous elastic wedge-shaped bar strengthened by on its curved boundary surfaces by thin isotropic elastic shells. An analytical method is presented to obtain the Prandtl’s stress function, torsion function, torsional rigidity and shearing stresses. A numerical example illustrates the application of the developed analytical method.

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