Fundamental Natural Frequency of Chromite Composite Floor System

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.

• Farhad Abbas Gandomkar
• Mona Danesh

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

[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.