Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns

DOI10.1007/978-3-211-70963-4_16zbMath1298.74086OpenAlexW2150460345MaRDI QIDQ5891863

Isaac Elishakoff, I. Caliò'

Publication date: 7 November 2014

Published in: Mechanical Vibration: Where do we Stand? (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-70963-4_16

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (1)

Application of quantifier elimination to inverse buckling problems

Cites Work

• Novel closed-form solutions in buckling of inhomogeneous columns under distributed variable loading
• A fifth-order polynomial that serves as both buckling and vibration mode of an inhomogeneous structure
• Closed-form solutions for axially graded beam-columns
• CLOSED-FORM TRIGONOMETRIC SOLUTIONS FOR INHOMOGENEOUS BEAM-COLUMNS ON ELASTIC FOUNDATION
• Eigenvalues of Inhomogeneous Structures
• Apparently first closed-form solution for vibrating inhomogeneous beams

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