Modal Analysis of a Linked Cantilever Flexible Building System
Publication: Journal of Structural Engineering
Volume 141, Issue 10
Abstract
This study proposes a modal analysis for a simplified model of a linked building system, i.e., a system consisting of two adjacent tall buildings connected through links such as skybridges or skygardens. The simplified model was developed by modeling each building as a cantilever beam and allowing for the effects of varying link mass, axial stiffness, bending stiffness, and link location. The analytical solutions for the modal properties of the simplified model were then derived by solving the characteristic equations in the related boundary value problem. After validating the accuracy of the analytical solution by comparing it with the associated finite-element model (FEM), the effects of the link parameters on the modal properties, and the wind-induced responses of the system were examined by using these analytical solutions. Meaningful results were obtained and discussed. The analytical solution and results can be used for rapidly evaluating the modal properties of the linked building systems and for optimally designing the link during the preliminary design stage.
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Acknowledgments
The work described in this paper was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China. Thanks also go to the staff of the CLP Power Wind/Wave Tunnel Facility at HKUST for their assistance in this project.
References
Abramovich, H., and Hamburger, O. (1992). “Vibration of a uniform cantilever Timoshenko beam with translational and rotational springs and with a tip mass.” J. Sound Vib., 154(1), 67–80.
ANSYS 14.0 [Computer software]. Canonsburg, PA, ANSYS.
Bhaskararao, A. V., and Jangid, R. S. (2006). “Harmonic response of adjacent structures connected with a friction damper.” J. Sound Vib., 292(3), 710–725.
Bhaskararao, A. V., and Jangid, R. S. (2007). “Optimum viscous damper for connecting adjacent SDOF structures for harmonic and stationary white-noise random excitations.” Earthquake Eng. Struct. Dyn., 36(4), 563–571.
Chen, Y., McFarland, D., Wang, Z., Spencer, B., Jr., and Bergman, L. (2010). “Analysis of tall buildings with damped outriggers.” J. Struct. Eng., 1435–1443.
Christenson, R. E., Spencer, B. F., Jr., Johnson, E. A., and Seto, K. (2006). “Coupled building control considering the effects of building/connector configuration.” J. Struct. Eng., 853–863.
Cimellaro, G. P., and Lopez–Garcia, D. (2011). “Algorithm for design of controlled motion of adjacent structures.” Struct. Control Health Monit., 18(2), 140–148.
Dym, C. L. (2012). “Approximating frequencies of tall buildings.” J. Struct. Eng., 288–293.
Gurley, K., Kareem, A., Bergman, L. A., Johnson, E. A., and Klein, R. E. (1994). “Coupling tall buildings for control of response to wind.” Proc., Sixth Int. Conf. on Structural Safety and Reliability (ICOSSAR), AA Balkema Publishers, Rotterdam, Netherlands, 1553–1560.
Iwanami, K., Suzuki, K., and Seto, K. (1996). “Vibration control method for parallel structures connected by damper and spring.” JSME Int. J. Ser. C Dyn. Control Rob. Des. Manuf., 39(4), 714–720.
Kim, J., Ryu, J., and Chung, L. (2006). “Seismic performance of structures connected by viscoelastic dampers.” Eng. Struct., 28(2), 183–195.
Lee, D. G., Kim, H. S., and Ko, H. (2010). “Evaluation of coupling-control effect of a sky-bridge for adjacent tall buildings.” Struct. Des. Tall Special Build., 21(5), 311–328.
Li, Q. S., Cao, H., and Li, G. Q. (1994). “Analysis of free vibrations of tall buildings.” J. Eng. Mech., 1861–1876.
Lim, J., Bienkiewicz, B., and Richards, E. (2011). “Modeling of structural coupling for assessment of modal properties of twin tall buildings with a skybridge.” J. Wind Eng. Ind. Aerodyn., 99(5), 615–623.
Luco, J. E., and De Barros, F. C. (1998). “Optimal damping between two adjacent elastic structures.” Earthquake Eng. Struct. Dyn., 27(7), 649–659.
Miranda, E. (1999). “Approximate seismic lateral deformation demands in multistory buildings.” J. Struct. Eng., 417–425.
Miranda, E., and Reyes, C. J. (2002). “Approximate lateral drift demands in multistory buildings with nonuniform stiffness.” J. Struct. Eng., 840–849.
Miranda, E., and Taghavi, S. (2005). “Approximate floor acceleration demands in multistory buildings. I: Formulation.” J. Struct. Eng., 203–211.
Rao, S. S. (2007). Vibration of continuous systems, Wiley, Hoboken, NJ.
Richardson, A., Walsh, K. K., and Abdullah, M. M. (2013). “Closed-form equations for coupling linear structures using stiffness and damping elements.” Struct. Control Health Monit., 20(3), 259–281.
Sandoval, M. R., Ugarte, L. B., and Spencer, B. F. (2012). “Study of structural control in coupled buildings.” Proc., 15th World Conf. on Earthquake Engineering, National Information Centre on Earthquake Engineering, Kanpur, India.
Song, J., and Tse, K. (2014). “Dynamic characteristics of wind-excited linked twin buildings based on a 3-dimensional analytical model.” Eng. Struct., 79, 169–181.
Westermo, B. D. (1989). “The dynamics of interstructural connection to prevent pounding.” Earthquake Eng. Struct. Dyn., 18(5), 687–699.
Yang, J. N., Agrawal, A. K., Samali, B., and Wu, J. C. (2004). “Benchmark problem for response control of wind-excited tall buildings.” J. Eng. Mech., 437–446.
Zhu, H. P., Wen, Y. P., and Iemura, H. (2001). “A study on interaction control for seismic response of parallel structures.” Comput. Struct., 79(2), 231–242.
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© 2015 American Society of Civil Engineers.
History
Received: Apr 7, 2014
Accepted: Dec 9, 2014
Published online: Jan 27, 2015
Discussion open until: Jun 27, 2015
Published in print: Oct 1, 2015
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