Constructing rod and beam equation with fundamental mode and physical parameters of polynomial form

DOI10.1007/s40995-017-0262-5zbMath1380.74070OpenAlexW2622326805MaRDI QIDQ1696101

Hanif Mirzaei

Publication date: 14 February 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0262-5

zbMATH Keywords

Lagrange interpolation polynomialbeam equationrod equationfundamental mode

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Reconstructing cross-sectional physical parameters for two-span beams with overhang using fundamental mode
• Reconstructing the cross–sectional area of an axially vibrating non–uniform rod from one of its mode shapes
• A family of isospectral Euler–Bernoulli beams
• Reconstruction of a rod using one spectrum and minimal mass condition
• Constructing the axial stiffness of longitudinally vibrating rod from fundamental mode shape
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