Exact analysis of curved beams and arches with arbitrary end conditions: a Hamiltonian state space approach
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Publication:1937167
DOI10.1007/S10659-011-9335-4zbMath1334.74053OpenAlexW2023867760MaRDI QIDQ1937167
Publication date: 11 February 2013
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-011-9335-4
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Saint-Venant's principle (74G50) Hamilton's equations (70H05)
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A Hamiltonian state space approach to anisotropic elasticity and piezoelasticity ⋮ Fracture analysis of magnetoelectroelastic bimaterials with imperfect interfaces by symplectic expansion ⋮ A Hamiltonian‐based analytical method for fracture analysis of linear thermo‐viscoelastic media ⋮ A new exhaustive semi-analytical method to calculate stress distribution on the surface of a curved beam with circular cross section, with an application to helical compression springs ⋮ An analytical symplectic approach to the vibration analysis of orthotropic graphene sheets ⋮ Development of a Method for Determining One of the Additional Elastic Moduli of Curvilinear Rods
Cites Work
- A Hamiltonian state space approach for 3D analysis of circular cantilevers
- Axisymmetric deformation of a transversely isotropic cylindrical body: A Hamiltonian state-space approach
- A state space formalism for anisotropic elasticity. I: Rectilinear anisotropy.
- A state space formalism for anisotropic elasticity. II: Cylindrical anisotropy.
- Methods of matrix algebra
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