Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns

DOI10.1007/978-3-211-70963-4_17zbMath1298.74103OpenAlexW4251301197MaRDI QIDQ5891864

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_17

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Explicit solutions of dynamical problems in solid mechanics (74H05)

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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