Skip to main content
Log in

Fundamental periods of vibration of RC buildings in Portugal from in-situ experimental and numerical techniques

  • Original Research Paper
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

Since the early nineteen seventies we have been measuring the in-situ dynamic characteristics of the different structures built in Portugal, essentially based on ambient vibration and using expedite techniques. A data-base containing not only the fundamental dynamic characteristics of those structures but also their most important geometric and constructive properties has been created with the aim of setting correlations between construction typologies and fundamental periods or frequencies, and damping characteristics, and calibrate numerical modelling of those structures. This paper presents the main results for circa 197 reinforced concrete (RC) buildings, obtaining the fundamental period as a linear function of height or number of storeys for different typologies and situations, and showing that numerical models, made for a number of illustrative cases, can reproduce with great accuracy the in-situ measurements. The main parameters having remarkable influence on the overall correlation laws are identified and a measure of uncertainty deduced. Comparisons with published formulae for other regions of the world show that we can group these laws by regions with similar expression within each group but with large variations from group to group. Discussion on how to deal with the elongation of the periods of vibration due to moderate and large amplitude motion, causing changes in the seismic behaviour and on appearance of damage, will also be briefly introduced, keeping in mind current code practices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Baptista AJ, Oliveira CS (1999) Campanha de Medições de Frequências Próprias de Edifícios recentes de Betão Armado. Comparação com Modelos de cálculo, 4th Portuguese Conference on Earthquake Engineering, Universidade do Algarve, Faro (in Portuguese), pp 527–537

  • Baptista AJ, Oliveira CS (2004) Aferição de Modelos Estruturais de Edifícios Correntes com Base em Medições in situ de Frequências Próprias. 5th Portuguese Conference on Earthquake Engineering, Universidade do Minho (in Portuguese)

  • Boutin C, Hans S, Ibraim E, Roussillon P (2005) In situ experiments and seismic analysis of existing buildings—part II: seismic integrity threshold. Earthq Eng Struct Dyn 34(12): 1531–1546

    Article  Google Scholar 

  • Brincker R, Ventura C, Andersen P (2003) Why output-only modal testing is a desirable tool for a wide range of practical applications. 21st International Modal Analysis Conference (IMAC), Kissimmee, Florida

  • Brownjohn JMW (2003) Ambient vibration studies for system identification of tall buildings. Earthq Eng Struct Dyn 32: 71–95

    Article  Google Scholar 

  • Calvi GM, Pinho R, Crowley H (2006) State-of the-knowledge on the period elongation of RC buildings during strong ground shaking. 13th ECEE, ID 1535

  • Carder DS (1936) Observed vibrations of buildings. Bull Seismol Soc Am 26(3): 245–277

    Google Scholar 

  • Carydis P, Mouzakis HP (1986) Small amplitude vibration measurements of buildings undamaged, damaged, and repaired after earthquakes. Earthq Spectra 2(3): 515–535

    Article  Google Scholar 

  • Celebi M, Sanli A, Sinclair M, Gallant S, Radulescu D (2004) Real-time seismic monitoring needs of a building owner—and the solution, cooperative effort. Earthq Spectra 20(2): 333–346

    Article  Google Scholar 

  • CEN (2003) Eurocode 8: design of structures for earthquake resistance, Part 1: general rules, seismic actions and rules for buildings, Final Draft (December 2003). Comite Europeen de Normalisation, Brussels

  • Chopra AK, Goel RK (2000) Building period formulas for estimating seismic displacements. Earthq Spectra 16(2): 533–536

    Article  Google Scholar 

  • Clinton JF, Bradford SC, Heaton TH, Favela J (2006a) The observed wander of the natural frequencies in a structure. Bull Seismol Soc Am 96(1): 237–257

    Article  Google Scholar 

  • Clinton J, Heaton T, Bradford C (2006b) Changing natural frequencies in structures: the case of Millikan Library. 13th ECEE, ID 1918, Geneve, Switzerland

  • Cole HA (1968) On-the-line analysis of random vibrations. AIAA/ASME 9th Structural Dynamics Materials Conference, Palm Spring, CA

  • Crowley H, Pinho R (2004) Period-height relationship for existing European reinforced concrete buildings. J Earthq Eng 8(1): 93–119

    Article  Google Scholar 

  • Crowley H, Pinho R (2006) Simplified equations for estimating the period of vibration of existing buildings. 13th ECEE, ID 1122

  • Cunha A, Caetano (2005) From input-output to output-only modal identification of civil engineering structures. In 1st International Operational Modal Analysis Conference (IOMAC), Copenhagen, Denmark, April, pp 11–27

  • Dunand F, Bard P-Y, Chatelain JL, Guéguen P, Vassail T, Farsi MN (2002) Damping and frequency from randomdec method applied to in situ measurements of ambient vibrations. Evidence for effective soil structure interaction. 12th ECEE, ID Paper 869

  • Dunand F, Bard P-Y, Duval A-M, Guéguen Ph, Vidal S (2003) Périodes et amortissement des bâtiments niçois à partir d’enregistrements de bruit de fond. VIème Colloque National de l’AFPS, Ecole Polytechnique, 1-3 Juillet 2003, vol I, pp 291–298

  • Dunand F, Gueguen P, Bard P-Y, Rodgers J, Celebi M (2006) Comparison of the dynamic parameters extracted from weak, moderate and strong motion recorded in buildings. 13th ECEE, ID 1021

  • Enomoto T, Navarro M, Sánchez FJ, Vidal F, Seo K, Luzón F, García JM, Martín J, Romacho MD (1999) Evaluación del comportamiento de los edificios en Almería mediante el análisis del ruido ambiental. 1a Asamblea Hispano-Lusa. Aguadulce (Almería, Spain), 9-13 / Febrero de 1998. CD-ROM. ISBN, 84-95172-10-0

  • Enomoto T, Schmitz M, Abeki N, Masaki K, Navarro M, Rocavado V, Sanchez A (2000) Seismic risk assessment using soil dynamics in Caracas, Venezuela. 12th WCEE, CD-ROM

  • Espinoza F (1999) Determinación de las características dinâmicas de estruturas. Tesis Doctoral, Universidad Politécnica de Catalunya

  • Farsi M, Bard P-Y (2003) Estimation des périodes propres de bâtiments et vulnérabilité du bâti existant dans l’agglomération de Grenoble. Rev Fr Génie Civ 8(2/3):149–179 (in French)

    Google Scholar 

  • Gallipoli MR, Mucciarelli M, Vona M (2009) Empirical estimate of fundamental frequencies and damping for Italian buildings. Earthq Eng Struct Dyn 38: 973–988

    Article  Google Scholar 

  • Goel RK, Chopra AK (1997) Period formulas for moment resisting frame buildings. J Struct Eng, ASCE 123(11): 1454–1461

    Article  Google Scholar 

  • Goel RK, Chopra AK (1998) Period formulas for concrete shear wall buildings. J Struct Eng, ASCE 124(4): 426–433

    Article  Google Scholar 

  • Hashemi A, Mosalam KM (2006) Shake-table experiment on reinforced concrete structure containing masonry infill wall. Earthq Eng Struct Dyn 35: 1827–1852

    Article  Google Scholar 

  • Herak M, Herak D (2008) Estimating building fundamental frequencies and damping from vibrations induced by ambient noise. International Seminar on Seismic Risk and Rehabilitation of Stone Masonry Housing. Azores 1998, pp 137–140

  • Hong L, Hwang W (2000) Empirical formula for fundamental vibration periods of reinforced concrete buildings in Taiwan. Earthq Eng Struct Dyn 29: 327–337

    Article  Google Scholar 

  • Jeary AP (1986) Damping in tall buildings—a mechanism and a predictor. Earthq Eng Struct Dyn 14: 733–750

    Article  Google Scholar 

  • Jeary AP (1997) Damping in structures. J Wind Eng Ind Aerodyn 72(1–3): 345–355

    Article  Google Scholar 

  • Kanai K (1957) The requisite conditions for predominant vibration of ground. Bull Earthq Res Inst Tokyo Univ 31: 457

    Google Scholar 

  • Kareem A, Gurley K (1996) Damping in structures: its evaluation and treatment of uncertainty. J Wind Eng Ind Aerodyn 59: 131–157

    Article  Google Scholar 

  • Kobayashi H, Seo K, Midorikawa S (1986) Estimated strong ground motions in México City. The México Earthquake-1985, Factors Involved and Lessons Learned. ASCE, pp 55–69

  • Kobayashi H, Midorikawa S, Tanzawa H, Matsubara M (1987) Development of portable measurement system for ambient vibration test of building. J Struct Constr Eng (Transactions of Architectural Institute of Japan), No. 378, pp 48–56

  • Kobayashi H, Vidal F, Feriche D, Samano T, Alguacil G (1996) Evaluation of dynamic behaviour of building structures with microtremors for seismic microzonation mapping. The 11th WCEE, Acapulco, México

  • Lagomarsino S (1993) Forecast models for damping and vibration periods of buildings. J Wind Eng Ind Aerodyn 48: 221–239

    Article  Google Scholar 

  • Marques S (2007) The Solmar building. MSc Thesis, Instituto Superior Técnico, Lisboa (in Portuguese)

  • Masi A, Vona M (2009) Estimation of the period of vibration of existing RC building types based on experimental data and numerical results. In: NATO ARW on Increasing seismic safety by combining engineering technologies and seismological data, Springer, Dubrovnik, Croatia, pp 207–226

  • Messele H, Tadese K (2002) The study of seismic behaviour buildings located on different site in Addis Ababa (Ethiopia) by using microtremors and analytical procedure. Joint Study on microtremors and seismic microzonation in earthquake countries. Workshop to Exchange Research Information, Hakone-Gora, Kanagawa, Japan

  • Midorikawa S (1990) Ambient vibration tests of buildings in Santiago and Viña del Mar. A Report on the Chile-Japan Joint Study Project on Seismic Design of Structures, The Japan International Co-operation Agency

  • Midorikawa S (2004) Dense strong-motion array in Yokohama, Japan, and its use for disaster management. International Workshop on Future Directions in Instrumentation for Strong Motion and Engineering Seismology—NATO Meeting, Kusadasi, Turkey, 17–21 May 2004

  • Mucciarelli M, (1998) A quick survey of local amlplifications and their correlation with damage observed during the Umbro-Marchesan (Italy) earthquake of September 26, 1997. J Earthq Eng 2: 325–337

    Article  Google Scholar 

  • Mucciarelli M, Monachesi G, Gallipoli MR (2004) In-situ measurements of site effects and building dynamic behaviour related to damage observed during the 9/9/1998 earthquake in southern Italy. Proceedings, ERES99 Conference, Catania, Italy, pp 253–265

  • Mucciarelli M, Dolce M, Gallipoli MR, Masi A, Ponzo FC, Vona M (2006) Frequency and damping shift due to a damaging earthquake: the case of Molise (2002) Italy. 13th ECEE, ID 1848

  • Muriá–Vila D, González AR (1995) Propiedades dinámicas de edificios de la Ciudad de México. Rev Ing Sísmica 51: 25–45 (in Spanish)

    Google Scholar 

  • Naeim F (1997) Performance of extensively instrumented buildings during the January 17, 1994 Northridge earthquake—an interactive information system, California Division of Mines and Geology, JAMA Report no. 97-7530.68, John A. Martin and Associates, Inc. (www.johnmartin.com/research, consulted May 2004)

  • Navarro M, Oliveira CS (2004) Evaluation of dynamic characteristics of reinforced concrete buildings in the City of Lisbon. 4th Assembly of the Portuguese-Spanish of Geodesy and Geophysics, Figueira da Foz, Portugal

  • Navarro M, Oliveira CS (2006) Experimental techniques for assessment of dynamic behaviour of buildings. In: Oliveira CS et al. (eds) Assessing and managing earthquake risk, Chapter 8. GGEE 2, Springer, pp 159–182

  • Navarro M, Sánchez FJ, Enomoto T, Vidal F, Rubio S (2000) Relation between the predominant period of soil ant the damage distribution after Mula 1999 earthquake. Sixth International Conference on Seismic Zonation (6ICSC), Palm Spring, California

  • Navarro M, Sánchez FJ, Feriche M, Vidal F, Enomoto T, Iwatate T, Matsuda I, Maeda T (2002) Statistical estimation for dynamic characteristics of existing buildings in Granada, Spain, using microtremors. Structural Dynamics, Eurodyn2002, 1, 807–812, Balkema

  • Oliveira CS (1997) Frequências próprias de estruturas com base em medições in-situ. 3th Portuguese Conference on Earthquake Engineering, Instituto Superior Técnico, Lisbon (in Portuguese)

  • Oliveira CS (2004) Actualização das bases-de-dados sobre frequências próprias de estruturas de edifícios, pontes, viadutos e passagens de peões a partir de medições expeditas in-situ. 5th Portuguese Conference on Earthquake Engineering, University of Minho, Guimarães (in Portuguese)

  • Pauschke JM, Oliveira CS, Shah HC, Zsutty TC (1981) A preliminary investigation of the dynamic response of the Imperial County Services Building during the October 15, 1979 Imperial Valley Earthquake. The John Blume Earthquake Engineering Center, Stanford University, Report no. 49

  • Peixoto A (2007) The Monsanto tower building. MSc Thesis, Instituto Superior Técnico, Lisboa (in Portuguese)

  • Pires F, Bairrão R, Campos-Costa A, Coelho E, Rodrigues J (1997) Behaviour of masonry infill RC frames under horizontal loading. Experimental results. 11th Internacional Brick/Block Masonry Conference, Tongji University, Shanghai

  • Priestley MJN, Calvi GM, Kowalsky MJ (2007) Displacement-based seismic design of structures. IUSS Press, Pavia

    Google Scholar 

  • Ravara A (1973) Estudos dinâmicos para Parque Central, Caracas, Venezuela. Report LNEC, Lisbon (in Portuguese)

  • RSA (1983) Regulamento de Segurança e Acções em Estruturas de Edifícios e Pontes, Dec.Lei 235, Imprensa Nacional (in Portuguese)

  • Sánchez FJ, Navarro M, García JM, Enomoto T, Vidal F (2002) Evaluation of seismic effects on buildings structures using microtremor measurements and simulation response. Structural Dynamics, Eurodyn2002, 2, 1003–1008, Balkema

  • SAP2000® (2000) A series of computer programs for the finite element analysis of structures. Computers and Structures, Inc., Berkeley

  • Satake N, Suda K, Arakawa T, Sasaki A, Tamura Y (2003) Damping evaluation using full-scale data of buildings in Japan. J Struct Eng, ASCE 129(4): 470–477

    Article  Google Scholar 

  • Snǽbjornsson J, Thorarinsson O, Carr A, Sigbjornsson R (2006) Monitoring the dynamics of a concrete building enduring earthquake and wind excitation. 13th ECEE, ID 1207

  • Sobai M, Abd El-Rahman K, Mady M (2008) Estimation of dynamic characteristics of existing common reinforced concrete buildings in Egypt using ambient vibration tests. 14th WCEE

  • Todorovska M, Trifunac M, Hao TY (2006) Variations of apparent building frequencies—lessons from full scale earthquake observations. 13th ECEE, ID 1547

  • Trifunac M (1972) Comparison between ambient and forced vibration experiments. Earthq Eng Struct Dyn 1: 133–150

    Article  Google Scholar 

  • Trifunac MD, Ivanović SS, Todorovska MI (2001) Apparent periods of a building: II time-fourier analysis. J Struct Eng, ASCE 127(5): 527–537

    Article  Google Scholar 

  • Trifunac MD, Todorovska, MI, Manic MI, Bulajic BD (2008) Threshold changes in building frequencies of vibration associated with structural damage—study of full-scale observations in the Borik-2building in the former Yugoslavia. 14th WCEE, ID S05-03-015

  • Ventura CE, Ford JF, Turek M, Brincker R, Andersen P, Dascotte E (2005) FEM updating of tall buildings using ambient vibration data. 6th Structural Dynamics, Eurodyn

  • Yang JCS, Caldwell DW (1976) Measurement of damping and the detection of damages in structures by the Random Decrement Technique. 46th Shock and Vibration Bulletin, pp 129–136

  • Yang JCS, Dagalakis NG (1980) Detection of incipient failure in structure using random decrement technique. Proceeding, Fall Meeting of Society of Experimental Stress Analysis (SESA), Ft Laurdedale, Florida, p 43

  • Yang JCS, Aggour MS, Al-Sanad H (1982) Application of the random decrement technique in the determination of damping of soils. 7th ECEE

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. S. Oliveira.

Electronic supplementary material

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oliveira, C.S., Navarro, M. Fundamental periods of vibration of RC buildings in Portugal from in-situ experimental and numerical techniques. Bull Earthquake Eng 8, 609–642 (2010). https://doi.org/10.1007/s10518-009-9162-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-009-9162-1

Keywords

Navigation