Frequency response of the construction of a large-span building with a cylindrical-and-slab roof†

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Abstract

Relevance of the research. Numerical studies of structural frequency response of a large-span building with cylindrical-and-slab roof as a large mechanical system were carried out. Finite element model No. 1 “Superstructure-Fixed-end” . The purpose of the study was to develop the methodology for modal analysis of a large-span building structure with a cylindrical-and-slab roof as a mechanical system with a large number of degrees of freedom . Methods. Numerical analysis of the building dynamics was carried out with the use of the САЕ (Computer-aided engineering) software package Femap NX NASTRAN, which implements the finite element method. Results. The “dangerous” resonant frequencies and forms of harmonic oscillations of the structure were revealed, and the sensitivity of the buildings’ reactions to various structural changes was analyzed. Frequency analysis of harmonic response of the building allowed to obtain dependences of amplitude values of nodal displacements (accelerations) and stresses in finite elements from the frequency of the inducing external force. In the next article, it is proposed to conduct a dynamic analysis of a large-span building with a cylindrical-and-slab roof for seismic effects.

About the authors

Elvira R. Kuzhakhmetova

KTB Beton Group

Author for correspondence.
Email: elja_09@bk.ru
ORCID iD: 0000-0002-0907-786X

Engineer, Chief Specialist

Moscow, Russian Federation

Valerii I. Sutyrin

Immanuel Kant Baltic Federal University

Email: vsutyrin@mail.ru
ORCID iD: 0000-0002-4911-8515

Dr. Sci. Eng., Associate Professor, Professor in “Institute of High Technologies”

Kaliningrad, Russian Federation

References

  1. Kuzhakhmetova E.R., Sapozhnikov A.I. Architectural expressiveness and physiological expediency of buildings with curvilinear surfaces. Building Materials, Equipment, Technologies of the 21st Century. 2012;11(166):42–45. (In Russ.) EDN: SKDXXH
  2. Kuzhakhmetova E.R. Patent of the Russia No. 2740506. Long-span building with a dome-slab-cable-stayed roof. 2021;(2).
  3. Mamieva I.A. Ruled algebraic surfaces with a main frame from three superellipses. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(4):387–395. (In Russ.) http://doi.org/10.22363/1815-5235-2022-18-4-387–395
  4. Mamieva I.A. Analytical surfaces for parametric architecture in contemporary buildings and structures. Academia. Architecture and Construction. 2020;(1):150‒165. (In Russ.) EDN: KNYKTY
  5. Mamieva I.A. Analytical surfaces in the architecture of Moscow. Structural Mechanics of Engineering Constructions and Buildings. 2013;(4):9‒15. (In Russ.) EDN: QCXPUD
  6. Krivoshapko S.N., Mamieva I.A. Umbrella surfaces and surfaces of umbrella type in architecture. Industrial and Civil Construction. 2011;(7‒1):27‒30. (In Russ.) EDN: NXOUOP
  7. Mamieva I.A. Influence of the geometrical researches of rare type surfaces on design of new and unique structures. Building and Reconstruction. 2019;5(85):23‒34. (In Russ.) https://doi.org/10.33979/2073-7416-2019-85-5-23-34
  8. Sapozhnikov A.I. Features of the emergence of buildings and structures in the event of special natural phenomena. Building Materials, Equipment, Technologies of the 21st Century. 2015;1(192):27‒32. (In Russ.) EDN: THXVEF
  9. Chen G.Q., Lu J.X., Wu H. Dynamic behavior and retrofitting of RC frame building under vehicular bomb explosion. Engineering Failure Analysis. 2023;143:106925. https://doi.org/10.1016/j.engfailanal.2022.106925
  10. Santos F. On the dynamic response of a building model equipped with multiple curved-surface sliders. Mechanics Research Communications. 2023;128:104058. https://doi.org/10.1016/j.mechrescom.2023.104058
  11. Tulebekova S., Malo K. A., Rønnquist A., Nåvik P. Modeling stiffness of connections and non-structural elements for dynamic response of taller glulam timber frame buildings. Engineering Structures. 2022;261:114209. https://doi.org/10.1016/j.engstruct.2022.114209
  12. Kamal M., Inel M., Cayci B.T. Seismic behavior of mid-rise reinforced concrete adjacent buildings considering soil-structure interaction. Journal of Building Engineering. 2022;51:104296. https://doi.org/10.1016/j.jobe.2022.104296.
  13. Zhi Xu-D., Fan F. and Shen S.-ZH. Failure mechanism of single-layer cylindrical reticulated shells under earthquake motion. International Journal of Structural Stability and Dynamics. 2012;12(02):233‒249. https://doi.org/10.1142/S0219455412500022
  14. Bayraktar A., Hökelekli E., Yang T.T.Y. Seismic failure behavior of masonry domes under strong ground motions. Engineering Failure Analysis. 2022;142:106749. https://doi.org/10.1016/j.engfailanal.2022.106749
  15. Vasheghani M., Sadeghi J., Ghaffarpour S., Mahmoudi M. Modal based method to predict subway train-induced vibration in buildings. Structures. 2023;47:557‒572. https://doi.org/10.1016/j.istruc.2022.11.092
  16. Au S.-K., Zhang F.-L., To P. Field observations on modal properties of two tall buildings under strong wind. Journal of Wind Engineering and Industrial Aerodynamics. 2012;101:12‒23. https://doi.org/10.1016/j.jweia.2011.12.002
  17. Au S.-K., Zhang F.-L. On assessing the posterior mode shape uncertainty in ambient modal identification. Probabilistic Engineering Mechanics. 2011;26:427‒434. https://doi.org/10.1016/j.probengmech.2010.11.009
  18. Brownjohn J.M.W. Ambient vibration studies for system identification of tall buildings. Earthquake Engineering and Structural Dynamics.2003;32:71‒95.
  19. Tetlak T.B., Gattas J.M., Maluk C. Experimental study on the effects of scale on the static and dynamic behaviour of Glulam and hybrid-Glulam beams. Construction and Building Materials. 2023;369:130563. https://doi.org/10.1016/j.conbuildmat.2023.130563
  20. Peeters B., Roeck G.D. Stochastic system identification for operational modal analysis: A Review. Journal of Dynamic Systems, Measurement and Control. 2001;123(4):659‒667. https://doi.org/10.1115/1.1410370
  21. Azzara R.M., Girardi M., Padovani C., Pellegrini D. Experimental and numerical investigations on the seismic behaviour of the San Frediano bell tower in Lucca. Annals of Geophysics. 2019;62(3):SE342. https://doi.org/10.4401/ ag-8025
  22. Ashayeri I., Biglari M., Formisano A., D’Amatoc M. Ambient vibration testing and empirical relation for natural period of historical mosques. Case study of eight mosques in Kermanshah, Iran. Construction and Building Materials. 2021;289:123191. https://doi.org/10.1016/j.conbuildmat.2021.123191
  23. Cavalieri F., Correia A.A., Crowley H., Pinho R. Seismic fragility analysis of URM buildings founded on piles: influence of dynamic soil-structure interaction models. Bulletin of Earthquake Engineering. 2020;18:4127–4156. https:// doi.org/10.1007/s10518-020-00853-9
  24. Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Patent of the Russia No. 184 676. Device for determining the damping coefficient of bulk materials and liquids. 2018;(31).
  25. Sutyrin V.I., Kuzhakhmetova E.R. Patent of the Russia No. 2 646 540. Experimental setup (stand) for studying the multifactorial dependence of the damping coefficient of a pile when interacting with soil.2018;(7):9.
  26. Kuzhakhmetova E.R., Sutyrin V.I., Shinkarenko I.A. Patent of the Russia No. 2 699 311. Method for determining damping characteristics of liquids and bulk materials. 2019;(25):11.
  27. Sutyrin V.I., Shinkarenko I.A., Kuzhakhmetova E.R. Experimental stand for determining the damping properties of materials. Izvestiya KSTU. 2019;(52):177‒183. (In Russ.)
  28. Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Experimental determination of soil damping coefficients. Soil Mechanics and Foundation Engineering. 2022;(4):19‒25. (In Russ.) EDN: PSFNPB
  29. Sutyrin V.I., Kuzhakhmetova E.R., Shinkarenko I.A. Experimental determination of soil damping coefficients. Soil Mechanics and Foundation Engineering. 2022;59:362–370. https://doi.org/10.1007/s11204-022-09823-6
  30. Kuzhakhmetova E.R., Sutyrin V.I. Influence of the soil base on the stress-strain state of a large — span building with a cylinder-and-slab roof. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(5):444–457. (In Russ.) http://doi.org/10.22363/1815-5235-2022-18-5-444-457.
  31. Kuzhakhmetova E.R., Sutyrin V.I. Modal analysis of a large-span building with different boundary conditions. Structural Mechanics of Engineering Constructions and Buildings. 2023;19(1):17–34. (In Russ.) http://doi.org/10.22363/1815-5235-2023-19-1-17-34.
  32. Kuzhakhmetova E.R. Constructive solutions of guys location in cylindrical-slab-guy covering of building (construction). Bulletin of BSTU named after V.G. Shukhov. 2019;(5):77–89. (In Russ.) http://doi.org/10.34031/article_5ce292ca24bc23.91006970
  33. Kuzhakhmetova E.R. Stress-strain state cylinder-plate-cable-stayed roof buildings (structures) with various forms of external support contour. Structural Mechanics of Engineering Constructions and Buildings. 2020;16(2):95–110. (In Russ.) http://doi.org/10.22363/1815-5235-2020-16-2-95-110
  34. Zienkiewich O.C. The finite element method in engineering science. Moscow: Mir Publ.; 1975. (In Russ.)
  35. Strang G., Fix G.J. The finite element method in one dimension. An analysis of the finite element method. Englewood Cliffs; 1973. P. 51–62.
  36. Rychkov S.P. Structural modeling in Femap with NX Nastran. Moscow: DMK Press; 2013. (In Russ.)
  37. Shimkovich D.G. Structural analysis in MSC/NASTRAN for Windows. Moscow: DMK Press; 2003. (In Russ.)
  38. Fox R.L., Kapoor M.P. Rates of Change of Eigenvalues and Eigenvectors. AIAA Journal. 1968;6(12):2426‒2429. https://doi.org/10.2514/3.5008
  39. Ahmadi E., Khoshnoudian F., Hosseini M. Importance of soil material damping in seismic responses of soil-MDOF structure systems. Soils and Foundations. 2015;55:35‒44. https://doi.org/10.1016/j.sandf.2014.12.003
  40. Zhang Z., Wei H., Qin X. Experimental study on damping characteristics of soil-structure interaction system based on shaking table test. Soil Dynamics and Earthquake Engineering. 2017;98:183‒190. https://doi.org/10.1016/j.soildyn. 2017.04.002
  41. Lu Y., Hajirasouliha I., Marshall A.M. Performance-based Seismic Design of Flexible-Base Multi-Storey Buildings Considering Soil-Structure Interaction. Engineering Structures. 2016;108:90‒103. https://doi.org/10.1016/j.engstruct. 2015.11.031
  42. Mason H.B., Trombetta N.W., Chen Z., Bray J.D., Hutchinson T.C., Kutter B.L. Seismic soil–foundation–structure interaction observed in geotechnical centrifuge experiments. Soil Dynamics and Earthquake Engineering. 2013;48:162‒174. https://doi.org/10.1016/j.soildyn.2013.01.014
  43. Nazarimofrad E., Zahrai S.M. Fuzzy control of asymmetric plan buildings with active tuned mass damper considering soil-structure interaction. Soil Dynamics and Earthquake Engineering. 2018;115:838‒852. https://doi.org/ 10.1016/j.soildyn.2017.09.020
  44. Arboleda-Monsalve L.G., Mercado J.A., Terzic V., Mackie K.R. Soil-structure interaction effects on seismic performance and earthquake-induced losses in tall buildings. Journal of Geotechnical and Geoenvironmental Engineering. 2020;146(5):04020028. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002248
  45. Sarcheshmehpour M., Estekanchi H. E., Ghannad M. A. Optimum placement of supplementary viscous dampers for seismic rehabilitation of steel frames considering soil–structure interaction. Structural Design of Tall and Special Buildings. 2020;29(1):e1682. https://doi.org/10.1002/tal.1682
  46. Aydin E., Ozturk B., Bogdanovic A., Farsangi E.N. Influence of soil-structure interaction (SSI) on optimal design of passive damping devices. Structures. 2020;28:847‒862. https://doi.org/10.1016/j.istruc.2020.09.028
  47. Aydin E., Ozturk B., Dutkiewicz M. Analysis of efficiency of passive dampers in multistorey buildings. Journal of Sound and Vibration. 2019;439:17‒28. https://doi.org/10.1016/j.jsv.2018.09.031
  48. Wu Q., Ding X., Zhang Ya., Chen Z., Zhang Y. Numerical simulations on seismic response of soil-pile-superstructure in coral sand. Ocean Engineering. 2021;239:109808. https://doi.org/10.1016/j.oceaneng.2021.109808
  49. Ferdosi B., James M., Aubertin M. Effect of waste rock inclusions on the seismic stability of an upstream raised tailings impoundment: a numerical investigation. Canadian Geotechnical Journal. 2015;52(12):1930‒1944. https:// doi.org/10.1139/cgj-2014-044
  50. Murao H., Nakai K., Noda T., Yoshikawa T. Deformation-failure mechanism of saturated fill slopes due to resonance phenomena based on 1g shaking-table tests. Canadian Geotechnical Journal. 2018;55(11):1668‒1681. https:// doi.org/10.1139/cgj-2017-0385
  51. Nakai K., Noda T., Kato K. Seismic assessment of sheet pile reinforcement effect on river embankments constructed on a soft foundation ground including soft estuarine clay. Canadian Geotechnical Journal. 2017;54(10):1375‒ 1396. https://doi.org/10.1139/cgj2016-0019
  52. Yazdandoust M. Seismic performance of soil-nailed walls using a 1g shaking table. Canadian Geotechnical Journal. 2017;55(1):1‒18. https://doi.org/10.1139/cgj-2016-0358
  53. Uzdin A. M, Frolova E. D. On the Experimental Determination of Soil Damping Coefficients. Soil Mechanics and Foundation Engineering. 2022;59(4):371–375. https://doi.org/10.1007/s11204-022-09824-5
  54. Bogdanovic A., Rakicevic Z., Farsangi E. N. Shake table tests and numerical investigation of a resilient damping device for seismic response control of building structures. Structural Control and Health Monitoring. 2019;26(11). https://doi.org/10.1002/stc.2443
  55. Chatterjee K., Choudhury D., Poulos H.G. Seismic analysis of laterally loaded pile under influence of vertical loading using finite element method. Computers and Geotechnics. 2015;67:172‒186. https://doi.org/10.1016/j.compgeo. 2015.03.004
  56. Chiou J.-S., Hung W.-Y., Lee Y.-T., Young Z.-H. Combined dynamic structure-pile-soil interaction analysis considering inertial and kinematic effects. Computers and Geotechnics. 2020;125:103671. https://doi.org/10.1016/ j.compgeo.2020.103671
  57. Le Y., Wang N., Hu W., Geng D., Jiang Y. Torsional dynamic impedance of a stepped pile based on the wedged soil model. Computers and Geotechnics. 2020;128:103854. https://doi.org/10.1016/j.compgeo.2020.103854
  58. Ferdosi B., James M., Aubertin M. Numerical simulations of seismic and post-seismic behavior of tailings. Canadian Geotechnical Journal. 2015;53(1):85‒92. https://doi.org/10.1139/cgj-2014-0345
  59. Hasheminezhad A., Bahadori H. Seismic response of shallow foundations over liquefiable soils improved by deep soil mixing columns. Computers and Geotechnics. 2019;110:251‒273. https://doi.org/10.1016/j.compgeo.2019.02.019
  60. He B., Zhang J.-M., Wang W., Li R. Numerical analysis of LEAP centrifuge tests on sloping liquefiable ground: influence of dilatancy and post-liquefaction shear deformation. Soil Dynamics and Earthquake Engineering. 2020; 137:106288. https://doi.org/10.1016/j.soildyn.2020.106288
  61. Lim H., Jeong S. Effect of bedrock acceleration on dynamic and pseudo-static analyses of soil-pile systems, Computers and Geotechnics. 2020;126:103657. https://doi.org/10.1016/j.compgeo.2020.103657
  62. Zou Y.X., Zhang J. M., Wang R. Seismic analysis of stone column improved liquefiable ground using a plasticity model for coarse-grained soil. Computers and Geotechnics.2020;125:103690. https://doi.org/10.1016/j.compgeo.2020. 103690
  63. Hu X., Zhang R., Ren X., Pan C., Zhang X., Li H. Simplified design method for structure with viscous damper based on the specified damping distribution pattern. Journal of Earthquake Engineering. 2020;26(3):1367‒1387. https:// doi.org/10.1080/13632469.2020.1719239
  64. Kuzhakhmetova E.R., Sutyrin V.I. Study of the strength of a reinforced concrete cylindrical shell in a large span building (structure) with a cylinder-slab-cable-stayed roof. AIP Conference Proceedings 2497: Proceedings of the ii scientific conference “Modelling and methods of structural analysis”; 2021, 11–13 November; Moscow. Russian Federation 2023. Article 020058. https://doi.org/10.1063/5.0103610

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