Technical Papers
Feb 25, 2019

Optimum Design of a Controlled Cable-Stayed Footbridge Subject to a Running Event Using Semiactive and Passive Mass Dampers

Publication: Journal of Performance of Constructed Facilities
Volume 33, Issue 3

Abstract

Pedestrian-induced actions cause high vibration amplitudes in flexible and lightweight structures such as cable-stayed bridges. The high vibrational response is considered a serious serviceability problem that must be avoided either at the design stage or when retrofitting the structure. The use of control devices, particularly tuned mass dampers (TMDs) and viscous dampers (VDs), can be justified to reduce the structural dynamic response. This paper concerns the optimum design of a cable-stayed steel footbridge and its control devices to withstand a running event while guaranteeing all the serviceability criteria. Four different techniques (no control, VD, and VD with passive or semiactive TMDs) are presented to illustrate the effect of these control strategies in the optimum design geometry, dynamic responses, and cost.

Get full access to this article

View all available purchase options and get full access to this article.

References

Agrawal, A., J. Yang, and W. He. 2003. “Applications of some semiactive control systems to benchmark cable-stayed bridge.” J. Struct. Eng. 129 (7): 884–894. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(884).
Bachmann, H., and B. Weber. 1995. “Tuned vibration absorbers for lively structures.” Struct. Eng. Int. 5 (1): 31–36. https://doi.org/10.2749/101686695780601457.
Bassoli, E., P. Gambarelli, and L. Vincenzi. 2018. “Human-induced vibrations of a curved cable-stayed footbridge.” J. Constr. Steel Res. 146: 84–96. https://doi.org/10.1016/j.jcsr.2018.02.001.
Brennan, M. 2006. “Some recent developments in adaptive tuned vibration absorbers/neutralizers.” Shock Vib. 13 (4–5): 531–543. https://doi.org/10.1155/2006/563934.
Brownjohn, J., P. Fok, M. Roche, and P. Moyo. 2004a. “Long span steel pedestrian bridge at Singapore Changi Airport. 1: Prediction of vibration serviceability problems.” Struct. Eng. 82 (16): 21–27.
Brownjohn, J., P. Fok, M. Roche, and P. Omenzetter. 2004b. “Long span steel pedestrian bridge at Singapore Changi Airport. 2: Crowd loading tests and vibration mitigation measures.” Struct. Eng. 82 (16): 28–34.
Bursi, S., A. Kumar, and G. Abbiati. 2014. “Identification, model updating, and validation of a steel twin deck curved cable-stayed footbridge.” Comput.-Aided Civ. Infrastruct. Eng. 29 (9): 703–722. https://doi.org/10.1111/mice.12076.
Caetano, E., Á. Cunha, F. Magalhães, and C. Moutinho. 2010a. “Studies for controlling human-induced vibration of the Pedro e Inês Footbridge, Portugal. 1: Assessment of dynamic behavior.” Eng. Struct. 32 (4): 1069–1081. https://doi.org/10.1016/j.engstruct.2009.12.034.
Caetano, E., Á. Cunha, C. Moutinho, and F. Magalhães. 2010b. “Studies for controlling human-induced vibration at the Pedro e Inês Footbridge, Portugal. 2: Implementation of tuned mass dampers.” Eng. Struct. 32 (4): 1082–1091. https://doi.org/10.1016/j.engstruct.2009.12.033.
CEN (European Committee for Standardization). 2002a. Basis of structural design. Eurocode 0. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2002b. Action on structures, part 2: Traffic loads on bridges. Eurocode 1-2, Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005. Design of steel structures. Eurocode 3. Brussels, Belgium: CEN.
Chen, Q. 1992. “Optimization of cable-stretching planning in the construction of cable-stayed bridges.” Eng. Optim. 19 (1): 1–20. https://doi.org/10.1080/03052159208941217.
Cheng, G., and Y. Liu. 1987. “A new computation scheme for sensitivity.” Eng. Optim. 12 (3): 219–234. https://doi.org/10.1080/03052158708941096.
Chey, M.-H., J. Chase, J. Mander, and A. Carr. 2010. “Semi-active tuned mass damper building systems: Design.” Earthquake Eng. Struct. Dyn. 39 (2): 119–139. https://doi.org/10.1002/eqe.934.
Chung, L., Y. Lay, C. Yang, K. Lien, and L. Wu. 2013. “Semi-active tuned mass dampers with phase control.” J. Sound Vib. 332 (15): 3610–3625. https://doi.org/10.1016/j.jsv.2013.02.008.
Cid, C., A. Baldomir, and S. Hernández. 2018. “Optimum crossing cable system in multi-span cable-stayed bridges.” Eng. Struct. 160 (2018): 342–355. https://doi.org/10.1016/j.engstruct.2018.01.019.
Cimellaro, G., T. Soong, and A. Reinhorn. 2008. “Invited paper: Optimal integrated design of controlled structures.” In Proc., 14th World Conf. on Earthquake Engineering. Beijing.
Cimellaro, G., T. Soong, and A. Reinhorn. 2009. “Integrated design of inelastic controlled structural systems.” Struct. Control Health Monit. 16 (7–8): 689–702. https://doi.org/10.1002/stc.314.
Dallard, P., A. Fitzpatrick, A. Flint, S. le Bourva, A. Low, R. Ridsdill Smith, and M. Willford. 2001. “The London Millennium Footbridge.” Struct. Eng. 79 (22): 17–33.
Den Hartog, J. 1956. Mechanical vibrations. New York: McGraw-Hill.
Dutta, A., A. Dutta, and S. Deb. 2008. “Design of an active controller for Quincy Bayview Bridge, Illinois, U.S.A., against seismic excitation-Part II: Control implementation.” Struct. Control Health Monit. 15 (8): 1078–1104. https://doi.org/10.1002/stc.231.
Dyke, S., J. Caicedo, G. Turan, L. Bergman, and S. Hague. 2003. “Phase I benchmark control problem for seismic response of cable-stayed bridges.” J. Struct. Eng. 129 (7): 857–872. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(857).
Ferreira, F., C. Moutinho, Á. Cunha, and E. Caetano. 2018. “Proposal of optimum tuning of semiactive TMDs used to reduce harmonic vibrations based on phase control strategy.” Struct. Control Health Monit. 25 (4): e2131. https://doi.org/10.1002/stc.2131.
Ferreira, F., and L. Simões. 2011. “Optimum design of a controlled cable stayed bridge subject to earthquakes.” Struct. Multidiscip. Optim. 44 (4): 517–528. https://doi.org/10.1007/s00158-011-0628-9.
Ferreira, F., and L. Simões. 2012. “Optimum cost design of controlled cable stayed footbridges.” Comput. Struct. 106–107: 135–143. https://doi.org/10.1016/j.compstruc.2012.04.013.
Hafka, R. T., and Z. Gurdal. 1992. Elements of structural optimization, solid mechanics and its application. Amsterdam, Netherlands: Kluwer Academic Publishers.
Hassan, M. M. 2013. “Optimization of stay cables in cable-stayed bridges using finite element, genetic algorithm, and B-spline combined technique.” Eng. Struct. 49: 643–654. https://doi.org/10.1016/j.engstruct.2012.11.036.
Hassan, M. M., A. O. Nassef, and A. A. El Damatty. 2012. “Determination of optimum post-tensioning cable forces of cable-stayed bridges.” Eng. Struct. 44: 248–259. https://doi.org/10.1016/j.engstruct.2012.06.009.
He, W.-J., and A. K. Agrawal. 2005. “Passive and hybrid control systems for seismic protection of a benchmark cable-stayed bridge.” Struct. Control Health Monit. 14 (1): 1–26. https://doi.org/10.1002/stc.81.
Hoorpah, W., O. Flamand, and X. Cespedes. 2008. “The Simon de Beauvoir Footbridge in Paris. Experimental verification of the dynamic behaviour under pedestrian loads and discussion of corrective modifications.” In Proc., Footbridge 2008, 3rd Int. Conf. Porto, Portugal.
Ingólfsson, E. T., C. T. Georgakis, and J. Jönsson. 2012. “Pedestrian induced lateral vibrations of footbridges: A literature review.” Eng. Struct. 45: 21–52. https://doi.org/10.1016/j.engstruct.2012.05.038.
Janjic, D., M. Pircher, and H. Pircher. 2003. “Optimization of cable tensioning in cable-stayed bridges.” J. Bridge Eng. 8 (3): 131–137. https://doi.org/10.1061/(ASCE)1084-0702(2003)8:3(131).
Jung, H.-J., B. F. Spencer Jr., and I.-W. Lee. 2003. “Control of seismically excited cable-stayed bridge employing magnetorheological fluid dampers.” J. Struct. Eng. 129 (7): 873–883. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(873).
Kasuga, A., H. Arai, J. E. Breen, and K. Furukawa. 1995. “Optimum cable-force adjustments in concrete cable-stayed bridges.” J. Struct. Eng. 121 (4): 685–694. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:4(685).
Khot, N. 1998. “Multicriteria optimization for design of structures with active control.” J. Aerosp. Eng. 11 (2): 45–51. https://doi.org/10.1061/(ASCE)0893-1321(1998)11:2(45).
Koo, J.-H., A. Shukla, and M. Ahmadian. 2008. “Dynamic performance analysis of non-linear tuned vibration absorbers.” Commun. Nonlinear Sci. Numer. Simul. 13 (9): 1929–1937. https://doi.org/10.1016/j.cnsns.2007.03.020.
Lin, W.-H., and A. Chopra. 2002. “Earthquake response of elastic SDF systems with non-linear fluid viscous dampers.” Earthquake Eng. Struct. Dyn. 31 (9): 1623–1642. https://doi.org/10.1002/eqe.179.
Magaña, M. E., J. Rodellar, J. R. Casas, and J. Mas. 1999. “Active control of cable-stayed bridges.” In Smart structures. Dordrecht, Netherlands: Springer.
Martins, A., L. Simões, and J. Negrão. 2015. “Optimization of cable forces on concrete cable-stayed bridges including geometrical nonlinearities.” Comput. Struct. 155 (15): 18–27. https://doi.org/10.1016/j.compstruc.2015.02.032.
Martins, A., L. Simões, and J. Negrão. 2017. “Optimum design of concrete cable-stayed bridges with prestressed decks.” Int. J. Comput. Method Eng. Sci. Mech. 17 (5–6): 339–349. https://doi.org/10.1080/15502287.2016.1231237.
McRobie, A., and P. Winslow. 2012. “The lateral dynamic stability of Stockton Infinity Footbridge using complex modes.” Struct. Eng. Int. 22 (4): 545–551. https://doi.org/10.2749/101686612X13363929518108.
Messac, A. 1998. “Control-structure integrated design with closed-form design metrics using physical programming.” AIAA J. 36 (5): 855–864. https://doi.org/10.2514/2.447.
Nagarajaiah, S., and E. Sonmez. 2007. “Structures with semiactive variable stiffness single/multiple tuned mass dampers.” J. Earthquake Eng. 133 (1): 67–77. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(67).
Negrão, J., and L. Simões. 1997. “Optimization of cable-stayed bridges with three-dimensional modeling.” Comput. Struct. 64 (1–4): 741–758. https://doi.org/10.1016/S0045-7949(96)00166-6.
Occhiuzzi, A., M. Spizzuoco, and G. Serino. 2002. “Semi-active MR dampers in TMD’s for vibration control of footbridges. Part 1: Numerical modeling and control algorithm.” In Proc., Conf. on Footbridge 2002. Paris.
Pálossy, M., G. Szabó, and L. Szecsányi. 2011. “‘Mayfly’ Footbridge, Szolnok–Design, construction and dynamic behavior of the longest footbridge in Hungary.” Steel Constr. 4 (3): 193–202. https://doi.org/10.1002/stco.201110027.
Racic, V., A. Pavic, and J. M. W. Brownjohn. 2009. “Experimental identification and analytical modeling of human walking forces: Literature review.” J. Sound Vib. 326 (1–2): 1–49. https://doi.org/10.1016/j.jsv.2009.04.020.
Ricciardelli, F., and C. Demartino. 2016. “Design of footbridges against pedestrian-induced vibrations.” J. Bridge Eng. 28 (8): C4015003. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000825.
Seiler G., O. Fischer, and P. Huber. 2002. “Semi-active MR dampers in TMD’s for vibration control of footbridges, part 2: Numerical analysis and practical realization.” In Proc., Design and Dynamic Behaviour of Footbridges. Paris.
Setareh, M. 2002. “Floor vibration control using semi-active tuned mass dampers” Can. J. Civ. Eng. 29 (1): 76–84. https://doi.org/10.1139/l01-063.
SETRA (Service d'Etudes Techniques des Routes et Autoroutes). 2006. “Assessment of vibrational behavior of footbridges under pedestrian loading.” In Technical guide. Paris: SETRA.
Simões, L., and J. Negrão. 1999. “Optimization of cable-stayed bridges subjected to earthquakes with non-linear behavior.” J. Eng. Optim. 31 (4): 457–478. https://doi.org/10.1080/03052159908941382.
Simões, L., and J. Negrão. 2005. “Reliability optimum design of glulam cable-stayed foot-bridges.” J. Bridge Eng. 10 (1): 39–44. https://doi.org/10.1061/(ASCE)1084-0702(2005)10:1(39).
Simões, L., and A. Templeman. 1989. “Entropy based optimization of cable net structures.” J. Eng. Optim. 15 (2): 121–140. https://doi.org/10.1080/03052158908941147.
Spencer, B. F., Jr., and S. Nagarajaiah. 2003. “State of art of structural control.” J. Struct. Eng. 129 (7): 845–856. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845).
Tzan, S. R., and C. P. Pantelides. 1996. “Convex model for seismic design of structures—II: Design of conventional and active structures.” Earthquake Eng. Struct. Dyn. 25 (9): 945–963. https://doi.org/10.1002/(SICI)1096-9845(199609)25:9%3C945::AID-EQE595%3E3.0.CO;2-I.
Warburton, G. B. 1982. “Optimum absorber parameters for various combinations of response and excitation parameters.” Earthquake Eng. Struct. Dyn. 10 (3): 381–401. https://doi.org/10.1002/eqe.4290100304.
Weber, F., and M. Maslanka. 2012. “Frequency and damping adaptation of a TMD with controlled MR damper” Smart Mater. Struct. 21 (5): 055011. https://doi.org/10.1088/0964-1726/21/5/055011.
Weber, F., and M. Maslanka. 2014. “Precise stiffness and damping emulation with MR dampers and its application to semi-active tuned mass dampers of Wolgograd Bridge.” Smart Mater. Struct. 23 (1): 015019. https://doi.org/10.1088/0964-1726/23/1/015019.
Wheeler, J. E. 1982. “Prediction and control of pedestrian-induced vibration in footbridges.” J. Struct. Div. 108 (9): 2045–2065.
Yang, J. N., S. Lin, and F. Jabbari. 2004. “H∞-based control strategies for civil engineering structures.” Struct. Control Health Monit. 11 (3): 223–237. https://doi.org/10.1002/stc.38.
Zivanovic, S., A. Pavic, and P. Reynolds. 2007. “Probability-based prediction of multi-mode vibration response to walking excitation.” Eng. Struct. 29 (6): 942–954. https://doi.org/10.1016/j.engstruct.2006.07.004Get.

Information & Authors

Information

Published In

Go to Journal of Performance of Constructed Facilities
Journal of Performance of Constructed Facilities
Volume 33Issue 3June 2019

History

Received: May 24, 2018
Accepted: Oct 4, 2018
Published online: Feb 25, 2019
Published in print: Jun 1, 2019
Discussion open until: Jul 25, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Invited Assistant Professor, Dept. of Civil Engineering, Univ. of Coimbra, Coimbra 3030-788, Portugal (corresponding author). ORCID: https://orcid.org/0000-0002-1526-4653. Email: [email protected]
Luís Simões [email protected]
Full Professor, Dept. of Civil Engineering, Univ. of Coimbra, Coimbra 3030-788, Portugal. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share