A note on the inverse mode shape problem for bars, beams, and plates

DOI10.1080/17415977.2012.665905zbMath1267.74072OpenAlexW2025635424MaRDI QIDQ5300374

G. K. Ananthasuresh, M. Meenakshi Sundaram

Publication date: 27 June 2013

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2012.665905

zbMATH Keywords

nonlinear eigenvalue probleminverse mode shape problemvalid mode shape

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Inverse problems for PDEs (35R30)

Related Items (2)

New closed‐form solutions for functionally graded longitudinally vibrating bar ⋮ An inverse mode problem for the continuous beam

Cites Work

• Reconstructing the cross–sectional area of an axially vibrating non–uniform rod from one of its mode shapes
• The inverse problem for the Euler-Bernoulli beam
• Inverse Problem for the Vibrating Beam in the Free-Clamped Configuration
• Constructing a Finite Element Model of a Vibratory Rod from Eigendata
• An Inverse Mode Problem for the Continuous Model of an Axially Vibrating Rod
• Inverse Eigenvalue Problems

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