科研之友
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摘要
The free vibration acoustic resonance of a one-dimensional nonlinear elastic bar has been studied within a framework of the calculus of variation. The one-dimensional deformation function is expanded by a complex Fourier series, and the coefficients as well as the resonance frequency are determined from a direct analysis based on the Ritz method. This numerical analysis revealed that the elastic bar shows prominent nonlinear features such as the amplitude dependence of resonance frequency and the small oscillation of pseudo-nodal points. From a spectral analysis for the first resonant vibration mode, we confirmed nonlinear excitations of high-frequency and/or high-wave-number vibration modes. The mechanism of the mode selection is discussed.
- 出版日期2011-7
