Fundamental Natural Frequency of Chromite Composite Floor System

Authors: Farhad Abbas Gandomkar, Mona Danesh

Abstract:

This paper aims to determine Fundamental Natural Frequency (FNF) of a structural composite floor system known as Chromite. To achieve this purpose, FNFs of studied panels are determined by development of Finite Element Models (FEMs) in ABAQUS program. American Institute of Steel Construction (AISC) code in Steel Design Guide Series 11 presents a fundamental formula to calculate FNF of a steel framed floor system. This formula has been used to verify results of the FEMs. The variability in the FNF of the studied system under various parameters such as dimensions of floor, boundary conditions, rigidity of main and secondary beams around the floor, thickness of concrete slab, height of composite joists, distance between composite joists, thickness of top and bottom flanges of the open web steel joists, and adding tie beam perpendicular on the composite joists, is determined. The results show that changing in dimensions of the system, its boundary conditions, rigidity of main beam, and also adding tie beam, significant changes the FNF of the system up to 452.9%, 50.8%, - 52.2%, %52.6%, respectively. In addition, increasing thickness of concrete slab increases the FNF of the system up to 10.8%. Furthermore, the results demonstrate that variation in rigidity of secondary beam, height of composite joist, and distance between composite joists, and thickness of top and bottom flanges of open web steel joists insignificant changes the FNF of the studied system up to -0.02%, -3%, -6.1%, and 0.96%, respectively. Finally, the results of this study help designer predict occurrence of resonance, comfortableness, and design criteria of the studied system.

Keywords: Fundamental natural frequency, chromite composite floor system, finite element method, low and high frequency floors, comfortableness, resonance.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109315

References:

[1] W. Soedel, “Vibrations of shells and plates,” New York: Marcel Dekker, 2004.
[2] The Steel Construction Institute (SCI-P354), Design of floors for vibration: A new approach, UK, 2007.
[3] American Institute of Steel Construction, Floor vibration due to human activity: 11th Steel Design Guide Series, Chicago, USA, 1997.
[4] C. J. Middleton and J. W. W. Brownjohn, “Response of high frequency floors: A literature review,” Engineering Structures, vol. 32, pp. 337- 352, 2010.
[5] A. J. M. Ferreira and G. E. Fasshauer, “Analysis of natural frequencies of composite plates by an RBF-pseudospectral method,” Composite Structures, vol. 79, pp. 202-210, 2009.
[6] Y. K. Ju, D. Y. Kim, S. D. Kim, S. W. Yoon, Y. K. Lee, and D. H. Kim, “Dynamic characteristics of the new composite floor system,” Steel Structures, vol. 8, pp. 347-356, 2008.
[7] Y. F. Xing and B. Liu, “New exact solutions for free vibrations of thin orthotropic rectangular plates,” Composite Structures, vol. 89, pp. 567- 574, 2009.
[8] F. A. Gandomkar, W. H. Wan Badaruzzaman, S. A. Osman, and A. Ismail “Experimental and numerical investigation of the natural frequencies of the composite Profiled Steel Sheet Dry Board (PSSDB) system,” Journal of the South African Institution of Civil Engineering, vol. 55, pp. 11-21, 2013.
[9] F. A. Gandomkar, H. W. Wan Badaruzzaman, and S. A. Osman, “The natural frequencies of composite Profiled Steel Sheet Dry Board with Concrete infill (PSSDBC) system,” Latin American Journal of Solids and Structures, vol. 8, pp. 351-372, 2012.
[10] H. Hashim, Z. Ibrahim, and H. A. Razak, “Dynamic characteristics and model updating of damaged slab from ambient vibration measurements,” measurements, vol. 46, pp. 1371-1378, 2013.
[11] B. Zhang, A. kermani, and T. Fillingham, “Vibration performance of timber floors constructed with metal web joists,” Engineering Structures, vol. 56, pp. 1321-1334, 2013.
[12] L. F. C. Neves, J. G. S. da Silva, L. R. O. de Lima, and S. Jordao, “Multi-story, multi-bay building with composite steel deck floors under human-induced loads: the human comfort issue,” Computers & Structures, vol. 136, pp. 34-46, 2014.
[13] G. S. da Silva, A. L. de Andrede, and D. C. Lopes, “Parametric modeling of the dynamic behavior of steel-concrete composite floor,” Engineering Structures, vol. 75, pp. 327-339, 2014.
[14] K. Jernero, A. Bradt, and A. Olsson, “Vibration properties of a timber floor assessed in laboratory and during construction,” Engineering Structures, vol. 82, pp. 44-54, 2015.
[15] A. Devin, P. J. Fanning, and A. Pavic, “Modelling effect of nonstructural partitions on floor modal properties,” Engineering Structures, vol. 91, pp. 58-69, 2015.
[16] British Standards Institution, BS 5950-Part 4 (Code of practice for design of composite slabs with profiled steel sheeting: Structural use of steelwork in building), UK, 1994.
[17] British Standard Institute, BS 8110- Part 1 (Structural use of concrete: Code for practice for design and construction), UK, 1997.
[18] A. Pavic, P. Reynolds, P. Waldron, and K. Bennett, “Dynamic modeling of post-tensioned concrete floors using finite element analysis,” Finite Elements in Analysis and Design, vol. 37, pp. 305–323, 2001.
[19] J. G. S. da Silva, P. C. G. da S. Vellasco, S. A. L. de Andrade, F. J. da C. P. Soeiro, and R. N. Werneck, “An evaluation of the dynamical performance of composite slabs,” Computers and Structures, vol. 81, pp. 1905–1913, 2003.
[20] ABAQUS Analysis User’s Manual Version 6.12.