Analysis of the Response of a Frame Structure during an Earthquake Using the Transfer Matrix Method of a Multibody System
Publication: Journal of Engineering Mechanics
Volume 141, Issue 8
Abstract
Finite-element methods such as ANSYS are widely used in traditional structural dynamic analysis. The low computational efficiency of ANSYS is a hindrance in finite-element methods when computing the responses of special engineering structures. This paper details an innovative study in which the transfer matrix method of multibody system (MS-TMM) is introduced to analyze the dynamic response of civil engineering structures. Although the responses obtained by the MS-TMM are similar to the responses obtained by ANSYS, ANSYS requires a larger computation time. The results indicate that the MS-TMM can satisfy the computation efficiency and calculation accuracy requirements.
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References
Alamdari, M. M., Li, J., Samali, B., Ahmadian, H., and Naghavi, A. (2014). “Nonlinear joint model updating in assembled structures.” J. Eng. Mech., 04014042.
ANSYS [Computer software]. Canonsburg, PA, Ansys.
Bai, Q., Bao, W. B., and Jin, S. J. (2010). “Estimation of time-dependent power spectral density of seismic wave based on wavelet transform.” J. Shenyang Univ. Technol., 32(3), 342–348 (in Chinese).
Bitaraf, M., Hurlebaus, S., and Barroso, L. R. (2012). “Active and semi-active adaptive control for undamaged and damaged building structures under seismic load.” Comput.-Aided Civ. Infrastruct. Eng., 27(1), 48–64.
Ding, J. G., Dai, Y. W., and Qiao, Z. (2013). “Analysis of elastic-plastic responses of a new single-story frame-bent structure during an earthquake based on the transfer matrix method of multibody system.” Adv. Mech. Eng., 49(02), 1–10.
Ding, J. G., and Qiao, Z. (2012). “Study on seismic performance of a new multi-layer frame-bent industrial building by pushover analysis.” Appl. Mech. Mater., 193–194, 1038–1047.
China Association for Engineering Construction Standardization. (2012). “Load code for the design of building structures of the PRC.”, China Building Industry Press, China (in Chinese).
China Academy of Building Research. (2010). “Code for seismic design of buildings.”, China Building Industry Press, China (in Chinese).
He, B., Rui, X. T., and Zhang, H. L. (2012). “Transfer matrix method for natural vibration analysis of tree system.” Math. Prob. Eng., 1–19.
Khalil, M., Rui, X., and Hendy, H. (2013). “Discrete time transfer matrix method for projectile trajectory prediction.” J. Aerosp. Eng., 04014057.
Kreuzer, E. (2012). “Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space.” Acta Mech. Sin., 28(2), 490–504.
Laith, K. A., Rui, X. T., and Marzocca, P. (2012). “Panel flutter analysis of plate element based on the absolute nodal coordinate formulation.” Multibody Sys. Dyn., 27(2), 135–152.
Maddaloni, G., Magliulo, G., and Cosenza, E. (2012). “Effect of the seismic input on non-linear response of R/C building structures.” Adv. Struct. Eng., 15(10), 1861–1878.
Na, W. B., and Lee, S. M. (2012). “Development of geometrically non-linear finite element analysis examples for computational structural analysis.” J. Fish. Mar. Sci. Educ., 24(5), 699–711.
Rong, B., et al. (2010). “New efficient method for dynamic modeling and simulation of flexible multibody systems moving in plane.” Multibody Sys. Dyn., 24(2), 181–200.
Rui, X. T., et al. (2008a). Transfer matrix method of multibody system and its applications, Science Press, Beijing (in Chinese).
Rui, X. T., Lu, Y. Q., Pan, L., and Lu, W. G. (2005). “Discrete time transfer matrix method for multibody system dynamics.” Multibody Sys. Dyn., 14(3–4), 317–344.
Rui, X. T., Rong, B., and He, B. (2007). “Discrete time transfer matrix method of multi-rigid-flexible-body system.” Proc., Int. Conf. Mechanical Engineering and Mechanics, Science Press, New York, 2244–2250.
Rui, X. T., Wang, G. P., and Lu, Y. Q. (2008). “Transfer matrix method for linear mutibody system.” Multibody Sys. Dyn., 19(3), 179–207.
Singh, M. P., and Chang, T.-S. (2009). “Seismic analysis of structures with viscoelastic dampers.” J. Eng. Mech., 571–580.
Sucharda, O., and Brožovský, J. (2012). “Effect of selected parameters of non-linear analysis of concrete structures.” Trans. VŠB-Tech. Univ. Ostrava Civ. Eng. Ser., XII(1), 1–9.
Sun, J. P., and Li, Q. N. (2012). “Precise transfer matrix method for static analysis of steel frame with semi-rigid connection.” J. Shenyang Univ. Technol., 34(5), 596–600 (in Chinese).
Sun, J. P., Li, Q. N., and Cao, X. L. (2012). “Precise transfer matrix method for elastic bending analysis of a compressive-bending bar.” J. Beijing Univ. Technol., 38(4), 536–539 (in Chinese).
Triantafyllou, S. P., and Koumousis, V. K. (2014). “Hysteretic finite elements for the nonlinear static and dynamic analysis of structures.” J. Eng. Mech., 04014025.
Zhan, Z.-H., et al. (2011). “Design of active vibration control for launcher of multiple launch rocket system.” Proc. Inst. Mech. Eng. Part K, 225(3), 225–280.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 8 • August 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Mar 27, 2014
Accepted: Dec 22, 2014
Published online: Apr 27, 2015
Published in print: Aug 1, 2015
Discussion open until: Sep 27, 2015
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