Generalised Functions for Modelling Singularities: Direct and Inverse Problems

DOI10.1007/978-1-4020-9090-5_19zbMath1209.74038OpenAlexW2216301777MaRDI QIDQ5391694

Salvatore Caddemi, I. Caliò'

Publication date: 7 April 2011

Published in: IUTAM BookSeries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9090-5_19

zbMATH Keywords

singularitiesdistributionsdamage identificationgeneralised functionsconcentrated damages

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Anelastic fracture and damage (74R20)

Cites Work

• Inverse problems in vibrations.
• Exact solution of the multi-cracked Euler-Bernoulli column
• On applications of generalized functions to beam bending problems
• Multiplications of distributions in one dimension and a first application to quantum field theory
• Euler-Bernoulli beams with multiple singularities in the flexural stiffness
• Identification of Crack Location in Vibrating Simply Supported Beams

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