Calculation of medium-frequency vibrations over a wide frequency range |
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| Affiliation: | 1. College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, PR China;2. School of Computing and Engineering, University of Huddersfield, Huddersfield HD1 3DH, UK;3. Signal Processing and Algorithms Group, School of Engineering, Manchester Metropolitan University, All Saints Building, All Saints, Manchester M15 6BH, UK;4. College of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, PR China;1. Department of Mechanical Engineering, Katholieke Universiteit Leuven, 3001 Heverlee, Belgium;2. Laboratiore d''Acoustique de l''Universiteé du Maine, L''Université Nantes Angers Le Mans, Université du Maine, CNRS, UMR-6613 CNRS, Avenue Olivier Messiaen, 72085 Le Mans, France;1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi''an Jiaotong University, Xi''an 710049, PR China;2. MOE Key Laboratory for Multifunctional Materials and Structures, Xi''an Jiaotong University, Xi''an 710049, PR China;3. Department of Building Environment and Energy Engineering, Xi''an Jiaotong University, Xi''an 710049, PR China;4. School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA;1. Mechanical Engineering Department, Virginia Polytechnic Institute and State University, 445 Goodwin Hall, 635 Prices Fork Road, Blacksburg, VA 24060, USA;2. College of Engineering, University of Georgia, D.W. Brooks Drive, Boyd Hall, Rm 708A, Athens, GA 30602, USA;3. College of Engineering, University of Georgia, 130 Paul D. Coverdell Center, Athens, GA 30602, USA |
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| Abstract: | An enhancement of the “variational theory of complex rays” (VTCR) is being developed in order to calculate the vibrations of slightly damped elastic structures in the medium-frequency range. Here, the emphasis is put on the extension of this theory to the analysis over a wide frequency range. The solution is sought in the form of an original decomposition: the mean value and its complementary part over the frequency range. Numerical examples show the capability of the VTCR to predict the vibrational response of a structure in a frequency range. |
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