Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems
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 con...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/2981935 |
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| _version_ | 1832559404644302848 |
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| author | Binsheng Zhang Tony Kilpatrick |
| author_facet | Binsheng Zhang Tony Kilpatrick |
| author_sort | Binsheng Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-31a9a3b2522040c986baa1a7fe400566 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-31a9a3b2522040c986baa1a7fe4005662025-02-03T01:30:00ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/29819352981935Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring SystemsBinsheng Zhang0Tony Kilpatrick1Department of Civil Engineering and Environmental Management, School of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UKDepartment of Civil Engineering and Environmental Management, School of Computing, Engineering and Built Environment, Glasgow Caledonian University, Glasgow G4 0BA, UKBased 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.http://dx.doi.org/10.1155/2019/2981935 |
| spellingShingle | Binsheng Zhang Tony Kilpatrick Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems Shock and Vibration |
| title | Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems |
| title_full | Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems |
| title_fullStr | Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems |
| title_full_unstemmed | Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems |
| title_short | Vibrational Modal Frequencies and Shapes of Two-Span Continuous Timber Flooring Systems |
| title_sort | vibrational modal frequencies and shapes of two span continuous timber flooring systems |
| url | http://dx.doi.org/10.1155/2019/2981935 |
| work_keys_str_mv | AT binshengzhang vibrationalmodalfrequenciesandshapesoftwospancontinuoustimberflooringsystems AT tonykilpatrick vibrationalmodalfrequenciesandshapesoftwospancontinuoustimberflooringsystems |