Combined classical and generalized integral transform approaches for the analysis of the dynamic behavior of a damaged structure

DOI10.1016/j.apm.2013.03.068zbMath1438.74079OpenAlexW2037835154MaRDI QIDQ1791490

Carlos Frederico Trotta Matt

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.068

zbMATH Keywords

integral transformsmechanical vibrationsdamaged beamcontinuous damage variable

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (4)

Combining integral transform and a generalized probabilistic approach of uncertainties to quantify model-parameter and model uncertainties in computational structural dynamics: the stochastic GITT method ⋮ A new adaptive approach of the Metropolis-Hastings algorithm applied to structural damage identification using time domain data ⋮ Finite integral transform method for analytical solutions of static problems of cylindrical shell panels ⋮ Generalized integral transform and Hamiltonian Monte Carlo for Bayesian structural damage identification

Cites Work

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• Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads
• Inverse analysis with integral transformed temperature fields: identification of thermophysical properties in heterogeneous media
• Dynamic response of clamped axially moving beams: integral transform solution
• Hybrid formulation and solution for transient conjugated conduction-external convection
• Free vibration analysis of a plate on foundation with completely free boundary by finite integral transform method
• Analysis for an \(N\)-stepped Rayleigh bar with sections of complex geometry
• TRANSIENT RESPONSE OF ONE-DIMENSIONAL DISTRIBUTED SYSTEMS: A CLOSED FORM EIGENFUNCTION EXPANSION REALIZATION
• On the application of generalized integral transform technique to wind-induced vibrations on overhead conductors
• Mechanics of Solid Materials
• Lateral displacements of a vibrating cantilever beam with a concentrated mass
• Finite transform solution of the vibrating annular membrane
• On the determination of finite integral transforms for forced vibrations of circular plates
• Finite transform solution of the damped cantilever beam equation having distributed load, elastic support, and the wall edge elastically restrained against rotation
• Dynamic displacement response of beam-type structures to moving line loads

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