Rocking of freestanding objects: theoretical and experimental comparisons

• Autorzy: Gesualdo A. , Iannuzzo A. , Minutolo V. , Monaco M.

Identyfikatory

DOI

10.15632/jtam-pl.56.4.977

• Języki publikacji: EN

Abstrakty

EN

The methodical study of safeguard of artistic heritage and other devices subjected to earthquake and, in general, to time-dependent forces has considerably spreaded in the last years, thus increasing researchers’ interest in problems concerning motions of rigid objects simply supported on a base plane. The behaviour of piece of equipments, statues, storage tanks, or even tall buildings has been in fact studied as that of rigid bodies with relation to different base excitations. In some cases, the possibility of influencing the quality of motion can be a strong tool to reduce vulnerability, like in the cases in which rocking motion is to be avoided and sliding motion is welcome. This paper focuses the attention on this last problem. This is the same large class of both non-structural and structural elements that can lose their functionality because of earthquake motions. The results of numerical modelling of sliding and rocking motion in presence of both different excitations and mechanical parameters are presented and compared with experimental data performed by the authors. The results developed are in good agreement with the laboratory tests, and this assures the reliability of both the analytical procedure and the determination of the parameters involved.

Słowa kluczowe

EN

rocking and sliding motion; freestanding rigid body; nonlinear dynamics; experimental testing

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2018
• Tom: Vol. 56 nr 4
• Strony: 977--991
• Opis fizyczny: Bibliogr. 41 poz., rys., tab.

Twórcy

autor

Gesualdo A.

• University of Naples “Federico II”, Department of Structures for Engineering and Architecture, Napoli, Italy

autor

Iannuzzo A.

• University of Naples “Federico II”, Department of Structures for Engineering and Architecture, Napoli, Italy

autor

Minutolo V.

• University of Campania “Luigi Vanvitelli”, Department of Engineering, Aversa (CE), Italy

autor

Monaco M.

• University of Campania “Luigi Vanvitelli”, Department of Architecture and Industrial Design, Aversa (CE), Italy

Bibliografia

• 1. Agbabian M.S., Ginell W.S., Masri F.S., Nigbor R.L., 1991, Evaluation of earthquake damage mitigation methods for museum objects, Studies in Conservation, 36, 1, 111-120, DOI: 10.1179/sic.1991.36.2.111
• 2. Andreaus U., Casini P., 1999, On the rocking-uplifting motion of a rigid block in free and forced motion: influence of sliding and bouncing, Acta Mechanica, 138, 3-4, 219-41, DOI: 10.1007/BF01291846
• 3. Apostolou M., Gazetas G., Garini E., 2007, Seismic response of slender rigid structures with foundation uplifting, Soil Dynamics and Earthquake Engineering, 27, 7, 642-654, DOI: 10.1016/j.soildyn.2006.12.002
• 4. Aslam M., Godden W., Scalise D., 1978, Rocking and Overturning Response of Rigid Bodies to Earthquake Motions, Lawrence Berkeley National Laboratory, University of California, Berkeley, USA
• 5. Aslam M., Scalise D.T., Godden W.G., 1980, Earthquake rocking response of rigid bodies, Journal of the Structural Division ASCE, 106, 2, 377-392
• 6. Augusti G., Sinopoli A., 1992, Modelling the dynamic of large block structures, Meccanica, 27, 3, 195-211, DOI: 10.1007/BF00430045
• 7. Bergamasco I., Gesualdo A., Iannuzzo A., Monaco M., 2018, An integrated approach to the conservation of the roofing structures in the Pompeian Domus, Journal of Cultural Heritage, 31, 141-151, DOI: 10.1016/j.culher.2017.12.006
• 8. Boroshek R., Iruretagoyena A., 2006, Controlled overturning of unanchored rigid bodies, Earthquake Engineering and Structural Dynamics, 35, 6, 695-711, DOI: 10.1002/eqe.554
• 9. Bryant M.D., 2016, On constitutive relations for friction from thermodynamics and dynamics, ASME Journal of Tribology, 138, 4, 1215-1223, DOI: 10.1115/1.4032821
• 10. Cennamo C., Gesualdo A., Monaco M., 2017, Shear plastic constitutive behaviour for near-fault ground motion, Journal of Engineering Mechanics ASCE, 143, 9, 04017086, DOI: 10.1061/(ASCE)EM.1943-7889.0001300
• 11. Chierchiello G., Gesualdo A., Iannuzzo A., Monaco M., Savino M.T., 2015, Structural modeling and conservation of single columns in archaeological areas, Proceedings of XIV International Forum “Le vie dei mercanti”, Aversa- Capri, Italy, La Scuola di Pitagora Editrice, Napoli, Italy, 2012-2020
• 12. DeJong M.J., 2012, Amplification of rocking due to horizontal ground motion, Earthquake Spectra, 28, 4, 1405-1421, DOI: 10.1193/1.4000085
• 13. DeJong M.J., Dimitrakopoulos E.G., 2014, Dynamically equivalent rocking structures, Earthquake Engineering and Structural Dynamics, 43, 10, 1543-1564, DOI: 10.1002/eqe.2410
• 14. Dimitrakopoulos E.G., DeJong M.J., 2012, Revisiting the rocking block: Closed form solutions and similarity laws, Proceedings of the Royal Society A, 468, 2144, 2294-2318, DOI: 10.1098/rspa.2012.0026
• 15. Erdik M., Durukal E., Erturk N., Sungay B., 2010, Earthquake risk mitigation in Istanbul museums, Natural Hazards, 53, 1, 97-108, DOI: 10.1007/s11069-009-9411-2
• 16. Gesualdo A., Iannuzzo A., Monaco M., Penta F., 2018, Rocking of a rigid block freestanding on a flat pedestal, Journal of Zhejiang University Science A, 19, 5, 331-345, DOI: 10.1631/jzus.A1700061
• 17. Gesualdo A., Iannuzzo A., Monaco M., Savino M.T., 2014, Dynamic analysis of freestanding rigid blocks, [In:] Civil-Comp Proceedings of the Twelfth International Conference on Computational Structures Technology, B.H.V. Topping and P. Ivanyi (Eds.), 106, Civil Comp Press, Kippen, Stirlingshire, U.K., DOI: 10.4203/ccp.106.144
• 18. Gesualdo A., Monaco M., 2015, Constitutive behaviour of quasi-brittle materials with anisotropic friction, Latin American Journal of Solids and Structures, 12, 4, 695-710, DOI: 10.1590/1679- 78251345
• 19. Guadagnuolo M., Monaco M., 2009, Out of plane behaviour of unreinforced masonry walls, [In:] Protection of Historical Buildings, 2, 1177-1180, London, New York: CRC Press, Taylor & Francis Group
• 20. Housner W.G., 1963, The behaviour of inverted pendulum structures during earthquake, Bulletin of the Seismological Society of America, 53, 2, 403-417
• 21. Ishiyama Y., 1982, Motions of rigid bodies and criteria for overtuning by earthquake excitations, Earthquake Engineering and Structural Dynamics, 10, 5, 635-650, DOI: 10.1007/s11069-014-1076-9
• 22. Koh A.S., 1986, Rocking of rigid bodies on randomly shaking foundations, Nuclear Engineering and Design, 97, 2, 269-276, DOI: 10.1016/0029-5493(86)90114-7
• 23. Konstantinidis D., Makris N., 2009, Experimental and analytical studies on the response of freestanding laboratory equipment to earthquake shaking, Earthquake Engineering and Structural Dynamics, 38, 6, 827-848, DOI: 10.1002/eqe.871
• 24. Konstantinidis D., Makris N., 2010, Experimental and analytical studies on the response of a 1/4 scale model of freestanding laboratory equipment subjected to strong earthquake shaking, Bulletin of Earthquake Engineering, 8, 6, 1457-1477, DOI: 10.1007/s10518-010-9192-8
• 25. Lenci S., Rega G., 2000, Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation, Chaos, Solitons and Fractals, 11, 5, 2453-2472, DOI: 10.1016/S0960- 0779(00)00030-8
• 26. Makris N., Kampas G., 2016, Size versus slenderness: two competing parameters in the seismic stability of free-standing rocking columns, Bulletin of the Seismological Society of America, 106, 1, 104-122, DOI: 10.1785/0120150138
• 27. Monaco M., Guadagnuolo M., Gesualdo A., 2014, The role of friction in the seismic risk mitigation of freestanding art objects, Natural Hazards, 73, 2, 389-402, DOI: 10.1007/s11069-014- 1076-9
• 28. Prieto F., Lourenc¸o P.B., 2005, On the rocking behaviour of rigid objects, Meccanica, 40, 2, 121-133, DOI: 10. 1007/s11012-004-5875-z
• 29. Purvance M.D., Abdolrasool A., Brune J.N., 2008, Freestanding block overturning fragilities: numerical simulation and experimental validation, Earthquake Engineering and Structural Dynamics, 37, 5, 791-808, DOI: 10.1002/eqe.789
• 30. Shao Y., Tung C.C., 1999, Seismic response of unanchored bodies, Earthquake Spectra, 15, 3, 523-536, DOI: 10.1193/1.1586056
• 31. Shenton H.W., 1996, Criteria for initiation of slide, rock, and slide-rock rigid-body modes, Journal of Engineering Mechanics ASCE, 122, 7, 690-693, DOI: 10.1061/(ASCE)0733- 9399(1996)122:7(690)
• 32. Sienkiewicz Z., 2009, Local modelling of backfill effects for rigid axisymmetric foundations under dynamic excitation, Journal of Theoretical and Applied Mechanics, 47, 4, 923-942
• 33. Sinopoli A., 1997, Unilaterality and dry friction: a geometric formulation for two-dimensional rigid body dynamics, Nonlinear Dynamics, 12, 4, 343-366, DOI: 10.1023/A:1008289716620
• 34. Spanos P., Koh A.S., 1984, Rocking of rigid blocks due to harmonic shaking, Journal of Engineering Mechanics ASCE, 110, 11, 1627-1642, DOI: 10.1061/(ASCE)0733-9399(1984)110:11(1627)
• 35. Spanos P.D., Roussis P.C., Politis N.P.A., 2001, Dynamic analysis of stacked rigid blocks, Soil Dynamics and Earthquake Engineering, 21, 7, 559-578, DOI: 10.1016/S0267-7261(01)00038-0
• 36. Voyagaki E., Psycharis I., Mylonakis G., 2013, Rocking response and overturning criteria for free standing rigid blocks to single-lobe pulses, Soil Dynamics and Earthquake Engineering, 46, 85-95, DOI: 10.1016/j.soildyn.2012.11.010
• 37. Voyagaki E., Psycharis I., Mylonakis G., 2014, Complex response of a rocking block to a full-cycle pulse, Journal of Engineering Mechanics ASCE, 140, 6, 04014024, DOI: 10.1061/(ASCE)EM.1943-7889.0000712, 04014024
• 38. Wolfram S., 2003, The Mathematica Book, Wolfram Media, USA
• 39. Yim S.C.S., Chopra A., Penzien J., 1980, Rocking response of rigid blocks to earthquakes, Earthquake Engineering and Structural Dynamics, 8, 6, 565-580, DOI: 10.1002/eqe.4290080606
• 40. Yim S.C.S., Lin H., 1991, Nonlinear impact and chaotic response of slender rocking objects, Journal of Engineering Mechanics ASCE, 117, 9, 2079-2100, DOI: 10.1061/(ASCE)0733- 9399(1991)117:9(2079)
• 41. Zhang J., Makris N., 2001, Rocking response of free-standing blocks under cycloidal pulses, Journal of Engineering Mechanics ASCE, 127, 5, 473-483, DOI: 10.1061/(ASCE)0733- 9399(2001)127:5(473)

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).