Exact static deflection of a non-uniform bernoulli-euler beam with general elastic end restraints

DOI10.1016/0045-7949(90)90178-5zbMath0708.73025OpenAlexW2029848454MaRDI QIDQ3491109

Huei Yaw Ke, Yee Hsiung Kuo, Sen-Yung Lee

Publication date: 1990

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(90)90178-5

zbMATH Keywords

four normalized fundamental solutionsaxial coordinate variableclosed integral formexact solution of the static deflectionfourth-order ordinary differential equation with variable coefficientsgeneral elastically restrained boundary conditionssecond-order differentiable

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Green's functions for ordinary differential equations (34B27) Boundary value problems for ordinary differential equations (34B99)

Related Items (7)

Analytical solution for the fully coupled static response of variable stiffness composite beams ⋮ A numerical approach to static deflection analysis of an infinite beam on a nonlinear elastic foundation: one-way spring model ⋮ Two-dimensional thermoelastic analysis of beams with variable thickness subjected to thermo-mechanical loads ⋮ Stiffness matrices of thin-walled composite beam with mono-symmetric I- and channel-sections on two-parameter elastic foundation ⋮ A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation ⋮ Two-dimensional elasticity solution for bending of functionally graded beams with variable thickness ⋮ A new efficient method to evaluate exact stiffness and mass matrices of non-uniform beams resting on an elastic foundation

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