scholarly journals Torsional rigidity, principal frequency, electrostatic capacity and symmetrization

1948 ◽  
Vol 6 (3) ◽  
pp. 267-277 ◽  
Author(s):  
George Pólya
Keyword(s):  
Torsional Rigidity ◽  
Principal Frequency

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.

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

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.

Analysis of Twisting Stiffness for a Multifiber Composite Layer

1974 ◽  
Vol 41 (3) ◽  
pp. 658-662 ◽  
Author(s):  
C. W. Bert ◽  
S. Chang
Keyword(s):  
Cross Section ◽  
Least Squares Method ◽  
Rectangular Cross Section ◽  
Torsional Rigidity ◽  
Composite Layer ◽  
Circular Cross Section ◽  
Relaxation Method ◽  
Fiber Composites ◽  
Numerical Results ◽  
Torsion Problem

The twisting stiffness of a rectangular cross section consisting of a single row of solid circular cross-section fibers embedded in a matrix is analyzed. The problem is formulated as a Dirichlet torsion problem of a multielement region and solved by the boundary-point least-squares method. Numerical results for a single-fiber square cross section compare favorably with previous relaxation-method results. New numerical results for three and five-fiber composites suggest that the torsional rigidity of a multifiber composite can be approximated from the torsional rigidities of single and three-fiber models.

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