The vibro-acoustic response of an infinite, fluid-loaded and periodically supported Timoshenko beam under a convected harmonic loading has been obtained in a mathematical form. Instead of considering the dynamics of a single substructure alone, an essentially different technique named as wavenumber-harmonic method for the analysis of periodic structures is presented. The method involves the use of Fourier transform, then the associated wavenumber response is expressed in a series form that represents wave components of the flexural motion. This approach differs from the space-harmonic analysis which describes the beam motion in spatial domain. With this approach the periodic boundary conditions and the phase relation between two substructures are not required. Furthermore, incorporating the heavy fluid loading effect is easy. This method can be used conveniently to calculate the sound power radiated from a fluid-loaded infinite beam, which is subject to either a moving point or distributed loading. The influence of periodic supports on the sound radiation has also been examined for different speeds of convected loading. [S0739-3717(00)01002-3]
Skip Nav Destination
Article navigation
July 2000
Technical Papers
Wavenumber-Harmonic Analysis of a Periodically Supported Beam Under the Action of a Convected Loading
Chih-Chun Cheng, Associate Professor, Mem. ASME,
Chih-Chun Cheng, Associate Professor, Mem. ASME
Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, 621 Taiwan
Search for other works by this author on:
Chun-Pao Kuo, Associate Professor, Mem. ASME,
Chun-Pao Kuo, Associate Professor, Mem. ASME
Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, 621 Taiwan
Search for other works by this author on:
Jer-Weir Yang, Graduate Research Assistant
Jer-Weir Yang, Graduate Research Assistant
Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, 621 Taiwan
Search for other works by this author on:
Chih-Chun Cheng, Associate Professor, Mem. ASME
Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, 621 Taiwan
Chun-Pao Kuo, Associate Professor, Mem. ASME
Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, 621 Taiwan
Jer-Weir Yang, Graduate Research Assistant
Department of Mechanical Engineering, National Chung Cheng University, Chia-Yi, 621 Taiwan
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 1999; revised Dec. 1999. Associate Technical Editor: R. Clark.
J. Vib. Acoust. Jul 2000, 122(3): 272-280 (9 pages)
Published Online: December 1, 1999
Article history
Received:
May 1, 1999
Revised:
December 1, 1999
Citation
Cheng, C., Kuo, C., and Yang, J. (December 1, 1999). "Wavenumber-Harmonic Analysis of a Periodically Supported Beam Under the Action of a Convected Loading ." ASME. J. Vib. Acoust. July 2000; 122(3): 272–280. https://doi.org/10.1115/1.1302705
Download citation file:
Get Email Alerts
Cited By
Related Articles
Homogenization of Quasi-Periodic Structures
J. Vib. Acoust (August,2006)
Implications of Nonsub-Wavelength Resonator Spacing on the Sound Transmission Loss Predictions of Locally Resonant Metamaterial Partitions
J. Vib. Acoust (August,2021)
Spatial Modulation of Repeated Vibration Modes in Rotationally Periodic Structures
J. Vib. Acoust (January,2000)
Related Proceedings Papers
Related Chapters
Computational Inverse Problem Techniques in Vibroacoustics
Biomedical Applications of Vibration and Acoustics in Imaging and Characterizations
An Introduction to Yasuura’s Method of Modal Expansion for Solving the Problem of Diffraction by a Periodic Structure Simulating a Metamaterial
International Conference on Control Engineering and Mechanical Design (CEMD 2017)
Research on Autobody Panels Developmental Technology Based on Reverse Engineering
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)