Basic vibrations and anharmonic analysis of a vibration |
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| Authors: | Yuchuan Wei |
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| Affiliation: | a Department of Applied Physics, Beijing University of Science and Technology, Beijing 100083, People's Republic of China;b Department of Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, People's Republic of China |
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| Abstract: | We prove that, besides the simple harmonic vibrations, some anharmonic vibrations are basic as well, because a general vibration can be considered as a superposition of such vibrations with different frequencies. The results in this paper are a generalization of Fourier analysis and a new theory of vibration analysis. |
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| Keywords: | Fourier analysis Anharmonic analysis Nonlinear vibration Basic vibration |
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