Estimation of Vibration Frequency of Structural Floors Using Combined Artificial Intelligence and Finite Element Simulation
Abstract
Floor vibration due to human activities (walking, running, etc.) and operating machines generally makes inconveniences for residents. The natural vibration frequency of beams is determined as the main source and also the controlling parameter of such the phenomenon. Many studies have been conducted on determining the natural frequency of beams in recent years; however, the proposed formulations in many of them are not very practical for vibration control of tall building floors. In this paper, the finite element method (FEM), nonlinear (NL) dynamic analyses, and artificial intelligence (AI) techniques were adopted to constitute the simple frequency equations of the fixed ends and cantilever steel beams for controlling floor vibration. The input data required for training the AI based model are simulated in a NL-FE platform considering various cases of the steel moment connections. The analysis outcome of several hundred beams with different properties indicated that the calculated vibration frequency values of the fixed ends and cantilever beams were respectively 2.07 and 0.33 times larger than the frequency value of the simply supported beams with similar conditions. To this, the implemented soft computing technique was determined as an effective approach to improve the computational efficiency of the NL-FE simulations.
References
Abdel-Jaber, M. S., Al-Qaisia, A. A., Abdel-Jaber, M., & Beale, R. G. 2008. Nonlinear natural frequencies of an elastically restrained tapered beam. Journal of Sound and Vibration, 313(3-5), 772-783.
Ahmed, K. M. 1971. Free vibration of curved sandwich beams by the method of finite elements. Journal of Sound and Vibration, 18(1), 61-74.
AISC. 2005, Specification for Structural Steel Buildings, American Institute of Steel Construction, Chicago.
AISC. 2017, Manual of Steel Construction: Load and Resistance Factor Design, Third Edition.
Allen, D. E., & Pernica, G. 1998. Control of floor vibration. Ottawa, ON, Canada: Institute for Research in Construction, National Research Council of Canada.
ANSYS User’s Manual. 2016. Houston: Swanson Analysis Systems Inc.
Bigdeli, Y., & Kima, D. 2017. Development of energy based Neuro-Wavelet algorithm to suppress structural vibration. Structural Engineering and Mechanics, 62(2), 237-246.
Billing, J. 1979. Estimation of the natural frequencies of continuous multi-span bridges. Research report 219. Ontario (Canada): Ontario Ministry of Transportation and Communications. Research and Development Division.
CSA. 1989, Canadian Standards Association, Guide for floor vibrations. CSA Standard CAN 3-S16.1-89. Steel structures for buildings-limit state design.
Duan, H. 2008. Nonlinear free vibration analysis of asymmetric thin-walled circularly curved beams with open cross section. Thin-Walled Structures, 46(10), 1107-1112.
Gorman, D. J. 1990. A general solution for the free vibration of rectangular plates resting on uniform elastic edge supports. Journal of Sound and Vibration, 139(2), 325-335.
Heins, C. P., & Sahin, M. A. 1979. Natural frequency of curved box girder bridges. Journal of the Structural Division, 105(12).
Keskin, R. S. 2017. Predicting shear strength of SFRC slender beams without stirrups using an ANN model. Structural Engineering and Mechanics, 61(5), 605-615.
Leissa, A. W. 2005. The historical bases of the Rayleigh and Ritz methods. Journal of Sound and Vibration, 287(4-5), 961-978.
Middleton, C. J., & Brownjohn, J. M. W. 2010. Response of high frequency floors: A literature review. Engineering Structures, 32(2), 337-352.
Moré, J. J. 1978. The Levenberg-Marquardt algorithm: implementation and theory. In Numerical analysis (pp. 105-116). Springer, Berlin, Heidelberg.
Naeim, F. 1991. Design practice to prevent floor vibrations. Steel Committee of California.
Nandi, A. K., & Azzouz, E. E. 1998. Algorithms for automatic modulation recognition of communication signals. IEEE Transactions on communications, 46(4), 431-436.
Nguyen, C. T., Moon, J., & Lee, H. E. 2011. Natural frequency for torsional vibration of simply supported steel I-girders with intermediate bracings. Thin-Walled Structures, 49(4), 534-542.
Przybylski, J. 2009. Non-linear vibrations of a beam with a pair of piezoceramic actuators. Engineering Structures, 31(11), 2687-2695.
Singh, V. P., Chakraverty, S., Sharma, R. K., & Sharma, G. K. 2009. Modeling vibration frequencies of annular plates by regression based neural network. Applied Soft Computing, 9(1), 439-447.
Soedel, W. 1982. On the natural frequencies and modes of beams loaded by sloshing liquids. Journal of Sound and Vibration, 85(3), 345-353.
Veletsos, A. S., & Newmark, N. M. 1955. Natural frequencies of continuous flexural members. In Selected Papers By Nathan M. Newmark: Civil Engineering Classics (pp. 529-566). ASCE.
Wang, J., Liu, W., Wang, L., & Han, X. 2015. Estimation of main cable tension force of suspension bridges based on ambient vibration frequency measurements. Struct. Eng. Mech, 56, 939-957.
Yamada, Y., & Veletsos, A. S. 1958. Free vibration of simple span I-beam bridges. Eight progress report. Highway bridge impact investigation. UIUC.
Yoon, K. Y., Park, N. H., Choi, Y. J., & Kang, Y. J. 2006. Natural frequencies of thin-walled curved beams. Finite Elements in Analysis and Design, 42(13), 1176-1186.
Živanović, S., Pavic, AL., & Reynolds, P. 2005. Vibration serviceability of footbridges under human-induced excitation: a literature review. Journal of sound and vibration, 279(1-2), 1-74.
