A note on bi-orthogonality relations for elastic cylinders of general cross section
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Publication:1056265
DOI10.1007/BF00043002zbMath0522.73052MaRDI QIDQ1056265
Publication date: 1983
Published in: Journal of Elasticity (Search for Journal in Brave)
elastostaticgeneral cross sectionbi-orthogonality relationcylindrical rodelastodynamic eigenfunctionsrelation depends only upon elastic reciprocal theorem, and elastic symmetry of cylinder in planes perpendicular to its generators
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Membranes (74K15) Elastic materials (74B99)
Related Items
On reciprocity, orthogonality and bi-orthogonality relations for non-symmetric waveguides: an elastic plate loaded by a fluid layer with uniform mean flow ⋮ Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides ⋮ Partial slip problem for two semi-infinite strips in contact ⋮ An elastic solution for the axisymmetric problem of a finite circular cylinder ⋮ Transparent boundary conditions for the harmonic diffraction problem in an elastic waveguide ⋮ Analytical solutions for determining residual stresses in two-dimensional domains using the contour method ⋮ (Bi)-orthogonality relation for eigenfunctions of self-adjoint operators ⋮ An inhomogeneous problem for an elastic half-strip: An exact solution
Cites Work
- Generalized orthogonality relation for rectangular strips in elastodynamics
- Orthogonality Relations for the "End Problem" for Transversely Isotropic Cylinders
- An orthogonality relation for the modes of wave propagation in an elastic circular cylinder
- Orthogonality relation for the Rayleigh–Lamb modes of vibration of a plate
- Orthogonality Relations for “End Problem” for Orthotropic Cylinders
- Elastostatic boundary regiou problem in solid cylinders
- The Semi-Infinite Elastic Cylinder Under Self-Equilibrated End Loading
- RADIAL EIGENFUNCTIONS FOR THE ELASTIC CIRCULAR CYLINDER
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