DOI QR코드

DOI QR Code

Extending torsional balance concept for one and two way asymmetric structures with viscous dampers

  • Amir Shahmohammadian (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Mohammad Reza Mansoori (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Mir Hamid Hosseini (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Negar Lotfabadi Bidgoli (Department of Civil Engineering, Central of Tehran Branch, Islamic Azad University)
  • 투고 : 2023.03.31
  • 심사 : 2023.10.31
  • 발행 : 2023.12.25

초록

If the center of mass and center of stiffness or strength of a structure plan do not coincide, the structure is considered asymmetric. During an earthquake, in addition to lateral vibration, the structure experiences torsional vibration as well. Lateraltorsional coupling in asymmetric structures in the plan will increase lateral displacement at the ends of the structure plan and, as a result, uneven deformation demand in seismically resistant frames. The demand for displacement in resistant frames depends on the magnitude of transitional displacement to rotational displacement in the plan and the correlation between these two. With regard to the inability to eliminate the asymmetrical condition due to various reasons, such as architectural issues, this study has attempted to use supplemental viscous dampers to decrease the correlation between lateral and torsional acceleration or displacement in the plan. This results in an almost even demand for lateral deformation and acceleration of seismic resistant frames. On this basis, using the concept of Torsional Balance, adequate distribution of viscous dampers for the decrease of this correlation was determined by transferring the "Empirical Center of Balance" (ECB) to the geometrical center of the structure plan and thus obtaining an equal mean square value of displacement and acceleration of the plan edges. This study analyzed stiff and flexible torsional structures with one-way and two-way mass asymmetry in the Opensees software. By implementing the Particle Swarm Optimization (PSO) algorithm, the optimum formation of dampers for controlling lateral displacement and acceleration is determined. The results indicate that with the appropriate distribution of viscous dampers, not only does the lateral displacement and acceleration of structure edges decrease but the lateral displacement or acceleration of the structure edges also become equal. It is also observed that the optimized center of viscous dampers for control of displacement and acceleration of structure depends on the amount of mass eccentricity, the ratio of uncoupled torsional-to-lateral frequency, and the amount of supplemental damping ratio. Accordingly, distributions of viscous dampers in the structure plan are presented to control the structure's torsion based on the parameters mentioned.

키워드

참고문헌

  1. Aguirre, J.J., Almazan, J.L. and Paul, C.J. (2013), "Optimal control of linear and nonlinear asymmetric structures by means of passive energy dampers", Earthq. Eng. Struct. Dyn., 42, 377-395. https://doi.org/10.1002/eqe.2211.
  2. Almazan, J.L. and De La Llera, J.C. (2009), "Torsional balance as new design criterion for asymmetric structures with energy dissipation devices", Earthq. Eng. Struct. Dyn., 38,1421-1440. https://doi.org/10.1002/eqe.909.
  3. De La Llera, J.C., Chopra, A.K. and Almazan, J.L. (2001), "Three-dimensional inelastic response of an RC building during the Northridge earthquake", J. Struct. Eng. (ASCE), 12(5), 482-489. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:5(482).
  4. De La Llera, J.C., Almazan, J.L., Vial, I.J., Ceballos, V. and Garcia, M. (2004), "Analytical and experimental response of asymmetric structures with friction and viscoelastic dampers", Proceeding of 13th World Conference on Earthquake Engineering, Vancouver, BC, Canada, August.
  5. De La Llera, J.C., Almazan, J.L. and Vial, I.J. (2005), "Torsional balance of plan- asymmetric structures with frictional dampers: Analytical results", Earthq. Eng. Struct. Dyn., 34(9), 1089-1108. https://doi.org/10.1002/eqe.469.
  6. Eurocode 8 (2004), Design of Structures for Earthquake Resistance, European Committee for Standardization, Brussels, Belgium.
  7. Espinoza, G., Casanova, E., Benedetti, F., Mena, R. and Almazan, J.L. (2021), "Optimal TMD design for torsional balance of asymmetrical 3D structures considering soil-structure intrraction", Struct. Control Health Monit., 29(1), e2858. https://doi.org/10.1002/stc.2858.
  8. Goel, R.K. (1998), "Effects of supplemental viscous damping on seismic response of asymmetric-plan systems", Earthq. Eng. Struct. Dyn., 27(2), 125-141. https://doi.org/10.1002/(SICI)1096-9845(199802)27:2%3C125::AID-EQE720%3E3.0.CO;2-6.
  9. Goel, R.K. (2000), "Passive control of earthquake-induced vibration in asymmetric buildings", Proceeding of 12th World Conference on Earthquake Engineering, Auckland, New Zealand, January-February.
  10. Goel, R.K. (2000), "Seismic behavior of asymmetric buildings with supplemental damping", Earthq. Eng. Struct. Dyn., 29(4), 461-480. https://doi.org/10.1002/(SICI)1096-9845(200004)29:4%3C461::AID-EQE917%3E3.0.CO;2-6.
  11. Hafezi, M., Aziminejad, A., Mansoori, M.R., Hosseini, M. and Sarvghad Moghadam, A. (2022), "Improving the torsional response of asymmetric buildings with self-centering controlled rocking steel braced frame system", Adv. Struct. Eng., 25(4), 789-803. https://doi.org/10.1177/13694332211050980.
  12. Hareen, C.B. and Mohan, S.C. (2021), "Evaluation of seismic torsional response of ductile RC buildings with soft first story", Struct., 29, 1640-1654. https://doi.org/10.1016/j.istruc.2020.12.031.
  13. Hatipoglu, Y.S. and Duzgun, O.A. (2023), "Seismic response of adjacent buildings interconnected by viscous dampers considering soil-structure interaction", Earthq. Struct., 24(3), 165-181. https://doi.org/10.12989/eas.2023.24.3.165.
  14. Hejazi, F., Dalili Shoaei, M., Jaafar, M.S. and Muhammad Rashid, R.S.B. (2015), "Effect of viscous dampers on yielding mechanisms of RC structures during earthquake", Earthq. Struct., 8(6), 1499-1528. http://doi.org/10.12989/eas.2015.8.6.1499.
  15. Huang, X. (2021), "Strategic width-wise arrangement of viscous dampers in steel buildings under strong earthquakes". Earthq. Struct., 20(2), 225-238. https://doi.org/10.12989/eas.2021.20.2.225.
  16. Mansoori, M.R. and Moghadam, A.S. (2008), "Effects of damper distribution in controlling multiple torsional response parameters of asymmetric structure", 14th World Conference on Earthquake Engineering, Beijing, China, October.
  17. Mansoori, M.R. and Moghadam, A.S. (2009), "Using viscous damper distribution to reduce multiple seismic response of asymmetric structures", J. Constr. Steel Res., 65(12), 2176-2185. https://doi.org/10.1016/j.jcsr.2009.06.016.
  18. Mansoori, M.R. (2010), "Controlling torsional response of asymmetric structures by distribution of viscous dampers", Ph.D. Dissertation, International Institute of Earthquake Engineering and Seismology, Tehran, Iran.
  19. Mansoori, M.R. and Moghadam, A.S. (2014), "Controlling torsional responses of structures under one and two directional excitation using dampers", Second European Conference on Earthquake Engineering and Seismology, Istanbul, Turkey, August.
  20. McKenna, F. and Fenves, G.L. (2006), Open System for Earthquake Engineering Simulation (OpenSees) User Manual, University of California, Berkeley, CA, USA.
  21. Myslimaj, B. and Tso, W.K. (2002), "A strength distribution criterion for minimizing torsional response of asymmetric wall-type systems", Earthq. Eng. Struct. Dyn., 31(1), 99-120. https://doi.org/10.1002/eqe.100.
  22. Paulay, T. (2001), "A re-definition of the stiffness of reinforced concrete elements and its implications in seismic design", Struct. Eng. Int., 11(1), 36-41. https://doi.org/10.2749/101686601780324287.
  23. Rofooei, F.R. and Mohammadzadeh, S. (2016), "Improving the seismic torsional behavior of plan asymmetric, single-storey, concrete moment resisting buildings with fluid viscous dampers", Earthq. Eng. Eng. Vib., 15, 61-78. https://doi.org/10.1007/s11803-016-0305-5.
  24. Seismosoft (2016), SeismoArtif - A Computer Program for Generation of Artificial Accelerograms, www.seismosoft.com
  25. Tamizharasi, G., Meher Prasad, A. and Murty, C.V.R. (2021), "Lateral-torsional seismic behavior of plan unsymmetric buildings", Earthq. Struct., 20(3), 239-260. https://doi.org/10.12989/eas.2021.20.3.239.