Reconstructing blockages in a symmetric duct via quasi-isospectral horn operators

Bilotta, Antonio; Morassi, Antonino; Turco, Emilio

doi:10.1016/j.jsv.2015.12.038

Cited by 18 publications

(12 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…the stiffnesses of the springs and the strain thresholds, used to build the numerical model since the performances of the model depend significantly on their values. In this perspective it is definitely helpful a sensitivity analysis on the parameters by using the tools reported, shortly, in the review paper [43] and, in depth, in [44][45][46][47][48][49] and applied in problems concerning huge and innovative structures as those described e.g. in [50,51].…”

Section: Discussionmentioning

confidence: 99%

Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence

Turco

Dell’Isola

Rizzi

et al. 2016

Mechanics Research Communications

Self Cite

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 99%

Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence

Turco

Dell’Isola

Rizzi

et al. 2016

Mechanics Research Communications

Self Cite

View full text Add to dashboard Cite

“…An explicit reconstruction of A(x) with the above properties has been fully described in [6]. Referring to the Appendix for the essential details of the method, in the sequel we simply recall the main idea of the procedure.…”

Section: Impedance-type Operators With Given Natural Frequenciesmentioning

confidence: 99%

“…The calculation of y i , i = 1, 2, is briefly described in the present subsection. The interested reader is referred to the paper [6] for a comprehensive treatment of the numerical aspects.…”

Section: Evaluation Of the Fundamental Solutionsmentioning

confidence: 99%

“…The use of approximation (58) produces an error of order H 2 . Suitable expressions of the second derivative of the function a = a(x) have been chosen at the beginning and at the end of the grid in order to ensure the same degree of accuracy of the approximation; see [6] (Section 3) for more details.…”

Section: Evaluation Of the Fundamental Solutionsmentioning

confidence: 99%

“…Then, using repeatedly the procedure, after a finite number of steps we will construct a rod with exactly the first N eigenfrequencies of the damaged rod. An analogous approach was exploited by us in [6] in the more simple context of Webster's horn equation (Au ′ ) ′ + λAu = 0, in which only one coefficient -not two, as for the rod operator -is present.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The use of quasi-isospectral operators for damage detection in rods

2017

Self Cite

View full text Add to dashboard Cite

We consider the inverse problem of reconstructing the axial stiffness of a damaged rod from the knowledge of a finite number of resonant frequencies of the free axial vibration under supported end conditions. The damage is described as a reduction of the axial stiffness, and the undamaged and damaged configurations of the rod are assumed to be symmetric. The method is based on repeated determination of quasi-isospectral rod operators, that is rods which have the same spectrum of a given rod with the exception of a single resonant frequency which is free to move in a prescribed interval. The reconstruction procedure is explicit and it is numerically implemented and tested for the identification of single and multiple localized damages. The sensitivity of the technique to the number of frequencies used and to the shape, intensity and position of the damages, as well as to the presence of noise in the data, is evaluated and discussed. The effect of suitable filtering of the results based on a priori information on the physics of the problem is proposed. An experimental application to the identification of localized damage in a free-free steel rod is also presented.

show abstract

Elastoplastic analysis of pressure‐sensitive materials by an effective three‐dimensional mixed finite element

Bilotta

Turco

2016

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

This work is focused on the analysis of three‐dimensional bodies whose mechanical behavior can be modeled by an elastoplastic pressure‐sensitive material description. To this end the yield condition is assessed with respect to a general quadratic function capable to represent both standard surfaces, such as Drucker–Prager surface, or more generic surfaces. For the sake of the efficiency and robustness of the numerical analysis of general‐shape solids, an effective mixed tetrahedral finite element is used to perform a step‐by‐step analysis obtaining the complete equilibrium path and the collapse load. Some numerical results regarding technical problems, such as masonry walls and footing problems, show the effectiveness of the mechanical model and of the numerical strategy.

show abstract

Reconstructing blockages in a symmetric duct via quasi-isospectral horn operators

Cited by 18 publications

References 25 publications

Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence

Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence

The use of quasi-isospectral operators for damage detection in rods

Elastoplastic analysis of pressure‐sensitive materials by an effective three‐dimensional mixed finite element

Contact Info

Product

Resources

About