Abstract
| Original language | English |
|---|---|
| Article number | 2981935 |
| Number of pages | 12 |
| Journal | Shock and Vibration |
| Volume | 2019 |
| DOIs | |
| Publication status | Published - 28 Apr 2019 |
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Keywords
- two-span continuous timber floors
- frequency equations
- modal frequencies
- mode shapes
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Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems. / Zhang, Binsheng; Kilpatrick, Tony.
In: Shock and Vibration, Vol. 2019, 2981935, 28.04.2019.Research output: Contribution to journal › Article
TY - JOUR
T1 - Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems
AU - Zhang, Binsheng
AU - Kilpatrick, Tony
N1 - Acceptance from webpage
PY - 2019/4/28
Y1 - 2019/4/28
N2 - Based on classic vibrational bending theory on beams, this paper provides comprehensive analytical formulae for dynamic characteristics of two equal span continuous timber flooring systems, including frequency equations, modal frequencies and modal shapes. Four practical boundary conditions are considered for end supports, including free, sliding, pinned and fixed boundaries, and a total of sixteen combinations of flooring systems are created. The deductions of analytical formulae are also expanded to two unequal span continuous flooring systems with pinned end supports and empirical equations for obtaining the fundamental frequency are proposed. The acquired analytical equations for vibrational characteristics can be applied for practical design of two-span continuous flooring systems. Two practical design examples are provided as well.
AB - Based on classic vibrational bending theory on beams, this paper provides comprehensive analytical formulae for dynamic characteristics of two equal span continuous timber flooring systems, including frequency equations, modal frequencies and modal shapes. Four practical boundary conditions are considered for end supports, including free, sliding, pinned and fixed boundaries, and a total of sixteen combinations of flooring systems are created. The deductions of analytical formulae are also expanded to two unequal span continuous flooring systems with pinned end supports and empirical equations for obtaining the fundamental frequency are proposed. The acquired analytical equations for vibrational characteristics can be applied for practical design of two-span continuous flooring systems. Two practical design examples are provided as well.
KW - two-span continuous timber floors
KW - frequency equations
KW - modal frequencies
KW - mode shapes
U2 - 10.1155/2019/2981935
DO - 10.1155/2019/2981935
M3 - Article
VL - 2019
M1 - 2981935
ER -