Equivalent Viscous Damping in Steel Structures Equipped with Dampers.

Subject Areas : Biosafety

Seyed Behdad  Alehojjat ¹ (Department of Civil Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran)
Omid  Bahar ² (Structural Engineering Research Center, International Institute of Earthquake Engineering & Seismology (IIEES), Tehran, Iran)
Masood  Yakhchalian ³ (Department of Civil Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran)

Received: 2021-04-11 Accepted : 2021-09-01 Published : 2021-07-01

Keywords: equivalent lateral force procedure, equivalent viscous damping, fluid viscous damper, direct displacement-based design,

Abstract :

Determination of equivalent viscous damping (EVD) is an important step in the direct displacement-based design (DDBD) method. This study aims to investigate whether the proposed method used in the equivalent lateral force (ELF) procedure, according to ASCE/SEI 7, for the calculation of effective damping in steel structures equipped with fluid viscous dampers (FVDs) can be used in the DDBD method. In order to evaluate the accuracy of this method, modified Jacobsen’s method and the approach used in Pennucci et al.’s study are applied to determine the EVD. At first, a set of steel structures with different heights and bays are designed for 0.75, 0.85 and 1.0 of the design base shears based on the primary calculation of the ELF procedure and then nonlinear time history analyses are carried out to determine the dampers constants and the EVD at two seismic hazard levels, i.e., design earthquake (DE) and maximum considered earthquake (MCE). According to the obtained results for the EVD, it is found that the obtained results in the ELF procedure has acceptably matched with Pennucci et al.’s approach. On the other hand, there are some differences between the obtained results and those obtained from modified Jacobsen’s method. Therefore, the ELF proposed equation for calculating EVD can be used in the DDBD method in mid-rise steel structures equipped with FVDs to accurately determine the EVD.

References:

1.Yakhchalian M., Asgarkhani N., Yakhchalian M.,
“Evaluation of deflection amplification factor for
steel buckling restrained braced frames”, Journal of
Building Engineering; 2020, 30, 101228.
https://doi.org/10.1016/j.jobe.2020.101228
2.Gulkan P., Sozen M., “Inelastic response of
reinforced concrete structures to earthquake
motions”, ACI J; 1974, 71(12), 604–610.
3.Shibata A., Sozen M., “Substitute structure method
for seismic design in reinforced concrete”, Journal
of Structural Division ASCE; 1976, 102(ST1), 1–
18.
4.Jacobsen, L.S., “Steady forced vibration as
influenced by damping”, Transactions of ASME;
1930, 52, 169–181.
5.Jacobsen, L.S., “Damping in composite structures”
Proc., 2nd World Conf. on Earthquake Engineering;
1960, Vol. 2, Science Council of Japan, Tokyo,
1029–1044.
6.Wijesundara, K.K., Nascimbene, R., Sullivan, T.J.,
“Equivalent viscous damping for steel
concentrically braced frame structures”, Bull
Earthquake Eng; 2011, 9, 1535–1558.
https://doi.org/10.1007/s10518-011-9272-4
7.Rosenblueth, E., Herrera, I., “On a kind of hysteretic
damping”, ASCE Journal of Engineering
Mechanics; 1964, 90(4), 37–48.
8.Dwairi, H.M., Kowalsky, M.J., Nau, J.M.,
“Equivalent damping in support of direct
displacement-based design”, Journal of Earthquake
Engineering; 2007, 11(4), 512‒530.
http://dx.doi.org/10.1080/13632460601033884
9.Kowalsky, M.J., Ayers, J.P., “Investigation of
equivalent viscous damping for direct displacementbased design”, The Third US-Japan Workshop on
Performance-Based Earthquake Engineering
Methodology for Reinforced Concrete Building
Structures; 16–18 August 2001, Seattle,
Washington, Berkeley: Pacific Earthquake
Engineering Research Center, University of
California, 173–185.
10.Grant, D.N., Blandon, C.A., Priestley, M.J.N.,
“Modelling inelastic response in direct
displacement-based design”, Report 2005/03, IUSS
Press, Pavia; 2005.
11.Priestley, M.J.N., Calvi, G.M., Kowalsky, M.J.,
“Displacement-Based Design of Structures”, IUSS
Press, Pavia; 2007.
12.Pennucci, D., Sullivan, T.J., Calvi, G.M.,
“Displacement Reduction Factors for the Design of
Medium and Long Period Structures”, Journal of
Earthquake Engineering; 2011, 15:S1, 1‒29.
http://dx.doi.org/10.1080/13632469.2011.562073
[12]<br style=" font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -web

13.Abadi, R.E., Bahar, O., “Investigation of the LS
level hysteretic damping capacity of steel MR
frames’ needs for the direct displacement-based
design method”, KSCE J. Civil Eng;
2018, 22, 1304–1315.
https://doi.org/10.1007/s12205-017-1321-3
14.Ramirez, O.M, Constantinou, M.C, Kircher, C.A.,
Whittaker, A.S., Johnson, M.W., Gomez, J.D.,
Chrysostomou, C.Z., “Development and evaluation
of simplified procedures for analysis and design of
buildings with passive energy dissipation systems”,
Report No: MCEER-00-0010 Multidisciplinary
Center for Earthquake Engineering Research
(MCEER), University of New York at Buffalo, NY.;
2001.
15.ASCE/SEI 7-16. Minimum design loads for
buildings and other structures, Reston (Virginia):
American Society of Civil Engineers; 2017.
16.Sullivan, T.J., Lago, A., “Towards a simplified
Direct DBD procedure for the seismic design of
moment resisting frames with viscous dampers”,
Engineering Structures; 2012, 35, 140-148.
https://doi.org/10.1016/j.engstruct.2011.11.010
17.Noruzvand, M., Mohebbi, M., Shakeri, K.,
“Modified direct displacement‐based design
approach for structures equipped with fluid viscous
damper”, Struct Control Health Monit; 2019, 27(1).
https://doi.org/10.1002/stc.2465
18.Moradpour, S., Dehestani, M., “Optimal DDBD
procedure for designing steel structures with
nonlinear fluid viscous dampers”, Structures; 2019,
Volume 22, 154‒174.
https://doi.org/10.1016/j.istruc.2019.08.005
19.Alehojjat, S.B., Bahar, O., Yakhchalian, M.,
“Improvements in the direct displacement-based
design procedure for mid-rise steel MRFs equipped
with viscous dampers”, Structures; 2021, Vol. 34,
1636‒1650.
https://doi.org/10.1016/j.istruc.2021.08.047
20.Priestley, M.J.N., “Myths and fallacies in
earthquake engineering conflicts between design
and reality”, Bulletin of the New Zealand National
Society for Earthquake Engineering; 1993, Vol.
26(3), 329‒341.
21.Sullivan, T.J., Priestley, M.J.N., Calvi, G.M., “A
Model Code for the Displacement-Based Seismic
Design of Structures (DBD12)”, IUSS Press, Pavia;
2007. ISBN: 978-88-6198-072-3.
22.Standard No. 2800. Iranian Code of Practice for
Seismic Resistant Design of Buildings, Standard
No. 2800, 4th edition, BHRC Publication No. S-
253, Iran, Tehran; 2014.
23.PEER, PEER NGA database, Pacific Earthquake
Engineering Research, Univ. of California,
Berkeley, CA.; 2005.
https://ngawest2.berkeley.edu/<br style=" font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0