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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 4/2020

16.11.2019 | Original

Exact closed-form static solutions for parabolic arches with concentrated damage

verfasst von: Ugurcan Eroglu, Achille Paolone, Giuseppe Ruta, Ekrem Tüfekci

Erschienen in: Archive of Applied Mechanics | Ausgabe 4/2020

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Abstract

The statics of fully deformable parabolic arches affected by a small crack at opposite sides of a damaged cross section is studied. The finite governing equations are linearized; the mechanical response for ‘small’ displacements and rotation is assumed. The effect of the crack is modelled by springs with stiffnesses calculated through linear elastic fracture mechanics. Closed-form exact static solutions are found under suitable boundary and continuity conditions. The effects of the crack position along the arch axis, its depth, and location on the cross section for different loading and boundary conditions are investigated and commented. The possibility of using these solutions in structural identification is discussed.
Vorheriger Artikel On dynamic behavior of composite plates using a higher-order Zig-Zag theory and exponential basis functions
Nächster Artikel Nonlocal strain gradient torsion of elastic beams: variational formulation and constitutive boundary conditions

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Literatur
1.
Love, A.E.H.: A Treatise on the Mathematical Theory of Elasticity, 2nd edn. University Press, Cambridge (1906)MATH
2.
Timoshenko, S.P.: Strength of Materials, 3rd edn. Van Nostrand, Princeton (1955)MATH
3.
Antman, S.S.: The Theory of Rods. Springer, Berlin (1973)
4.
Antman, S.S.: Nonlinear Problems of Elasticity. Applied Mathematical Sciences. Springer, New York (2006). ISBN 9780387276496
5.
Chidamparam, P.: Free vibration and buckling of curved beams subjected to distributed loads. PhD thesis, The Ohio State University (1993)
6.
Auciello, N.M., De Rosa, M.A.: Free vibrations of circular arches: a review. J. Sound Vib. 176(4), 433–458 (1994)CrossRef
7.
Chidamparam, P.P., Leissa, A.W.: Vibrations of planar curved beams, rings, and arches. Appl. Mech. Rev. 46(9), 467–483 (1993)CrossRef
8.
Henrych, J.: The Dynamics of Arches and Frames. Developments in Civil Engineering. Elsevier, Amsterdam (1981)MATH
9.
Karnovsky, I.A.: Theory of Arched Structures: Strength, Stability, Vibration. Springer, New York (2011)
10.
11.
Hjelmstad, K.D., Shin, S.: Damage detection and assessment of structures from static response. J. Eng. Mech. 123(6), 568–576 (1997)CrossRef
12.
Caddemi, S., Greco, A.: The influence of instrumental errors on the static identification of damage parameters for elastic beams. Comput. Struct. 84(26), 1696–1708 (2006)CrossRef
13.
Caddemi, S., Morassi, A.: Crack detection in elastic beams by static measurements. Int. J. Solids Struct. 44, 5301–5315 (2007)CrossRef
14.
Caddemi, S., Morassi, A.: Detecting multiple open cracks in elastic beams by static tests. J. Eng. Mech. 137, 113–124 (2011)CrossRef
15.
Greco, A., Pau, A.: Detection of a concentrated damage in a parabolic arch by measured static displacements. Struct. Eng. Mech. 39(6), 751–765 (2011)CrossRef
16.
Greco, A., Pluchino, A., Cannizzaro, F., Caddemi, S., Calio, I.: Closed-form solution based genetic algorithm software: application to multiple cracks detection on beam structures by static tests. Appl. Soft Comput. 64, 35–48 (2018)CrossRef
17.
18.
Cawley, P., Adams, R.D.: The location of defects in structures from measurements of natural frequencies. J. Strain Anal. 14(2), 49–57 (1979)CrossRef
19.
Vestroni, F., Capecchi, D.: Damage detection in beam structures based on frequency measurements. J. Eng. Mech. 126(7), 761–768 (2000)CrossRef
20.
Pau, A., Greco, A., Vestroni, F.: Numerical and experimental detection of concentrated damage in a parabolic arch by measured frequency variations. J. Vib. Control 17(4), 605–614 (2011)MathSciNetCrossRef
21.
Cerri, M.N., Ruta, G.C.: Detection of localised damage in plane circular arches by frequency data. J. Sound Vib. 270, 39–59 (2004)CrossRef
22.
Viola, E., Tornabene, F.: Vibration analysis of damaged circular arches with varying cross-section. Struct. Integr. Durab. 1, 155–169 (2005)
23.
Viola, E., Dilena, M., Tornabene, F.: Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches. J. Sound Vib. 299(1), 143–163 (2007)CrossRef
24.
Cerri, M.N., Dilena, M., Ruta, G.C.: Vibration and damage detection in undamaged and cracked circular arches: experimental and analytical results. J. Sound Vib. 314, 83–94 (2008)CrossRef
25.
Panigrahi, S.K., Chakraverty, S., Mishra, B.K.: Vibration based damage detection in a uniform strength beam using genetic algorithm. Meccanica 44(6), 697 (2009)MathSciNetCrossRef
26.
Caddemi, S., Caliò, I., Cannizzaro, F., Rapicavoli, D.: A novel beam finite element with singularities for the dynamic analysis of discontinuous frames. Arch. Appl. Mech. 83(10), 1451–1468 (2013)CrossRef
27.
Pokale, B., Gupta, S.: Damage estimation in vibrating beams from time domain experimental measurements. Arch. Appl. Mech. 84(12), 1715–1737 (2014)CrossRef
28.
Capecchi, D., Ciambella, J., Pau, A., Vestroni, F.: Damage identification in a parabolic arch by means of natural frequencies, modal shapes and curvatures. Meccanica 51, 2847–2859 (2016)MathSciNetCrossRef
29.
Caliò, I., Greco, A., D’Urso, D.: Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal. Arch. Appl. Mech. 86(11), 1853–1867 (2016)CrossRef
30.
Eroglu, U., Tufekci, E.: Exact solution based finite element formulation of cracked beams for crack detection. Int. J. Solids Struct. 96, 240–253 (2016)CrossRef
31.
Eroglu, U., Tufekci, E.: Crack modeling and identification in curved beams using differential evolution. Int. J. Mech. Sci. 131–132, 435–450 (2017)CrossRef
32.
Greco, A., D’Urso, D., Cannizzaro, F., Pluchino, A.: Damage identification on spatial timoshenko arches by means of genetic algorithms. Mech. Syst. Signal Process. 105, 51–67 (2018)CrossRef
33.
Irwin, G.R.: Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361–364 (1957)
34.
Tada, H., Paris, P.C., Irwin, G.R.: The Stress Analysis of Cracks Handbook, 3rd edn. ASME Press, New York (2000)CrossRef
35.
Viola, E., Panzacchi, L., Ubertini, F.: Static analysis and fatigue of cracked circular arches. In: International Conference on Fatigue Crack Paths, Parma, Italy (2003)
36.
Cannizzaro, F., Greco, A., Caddemi, S., Calio, I.: Closed form solutions of a multi-cracked circular arch under static loads. Int. J. Solids Struct. 121, 191–200 (2017)CrossRef
37.
Hubbard, J.H., West, B.H.: Differential Equations: A Dynamical Systems Approach: Higher Dimensional Systems. Texts in Applied Mathematics, vol. 18. Springer, Berlin (1995)CrossRef
38.
Tufekci, E., Eroglu, U., Aya, S.A.: A new two-noded curved beam finite element formulation based on exact solution. Eng. Comput. 33(2), 261–273 (2017)CrossRef
39.
Pease, M.C.: Methods of Matrix Algebra. Academic Press, New York (1965)MATH
40.
Pestel, E., Leckie, F.A.: Matrix methods in Elastomechanics. McGraw-Hill, New York (1963)
41.
42.
Gimena, F.N., Gonzaga, P., Gimena, L.: Analytical formulation and solution of arches defined in global coordinates. Eng. Struct. 60, 189–198 (2014)CrossRef
43.
Eroglu, U., Ruta, G.: Fundamental frequencies and buckling in pre-stressed parabolic arches. J. Sound Vib. 435, 104–118 (2018)CrossRef
Metadaten
Titel
Exact closed-form static solutions for parabolic arches with concentrated damage
verfasst von
Ugurcan Eroglu
Achille Paolone
Giuseppe Ruta
Ekrem Tüfekci
Publikationsdatum
16.11.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 4/2020
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01633-x

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