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DETC2011-48672 ANALYSIS OF ELASTIC WAVE PROPAGATION IN NONLINEAR BEAMS
| Content Provider | CiteSeerX |
|---|---|
| Author | Abedinnasab, Mohammad H. Hussein, Mahmoud I. |
| Abstract | We derive the exact dispersion relations for flexural elastic wave motion in a beam under finite deformation. We employ the Euler-Bernoulli kinematic hypothesis. Focusing on homo-geneous waveguides with constant cross-section, we utilize the exact strain tensor and retain all high order terms. The results al-low us to quantify the deviation in the dispersion curves when ex-act large deformation is considered compared to the small strain assumption. We show that incorporation of finite deformation shifts the frequency dispersion curves downwards. Furthermore, the group velocity increases with wavenumber but this trend re-verses at high wavenumbers when the wave amplitude is suffi-ciently high. At sufficiently high wave amplitudes, the group velocity becomes negative at high wavenumbers. This study on nonlinear homogeneous beams lays the foundation for future de-velopment to nonlinear periodic beams. 1 |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Group Velocity Finite Deformation High Wavenumbers Future De-velopment Homo-geneous Waveguide High Wave Amplitude Periodic Beam Exact Dispersion Relation Small Strain Assumption Constant Cross-section Wave Amplitude Euler-bernoulli Kinematic Hypothesis High Order Term Nonlinear Homogeneous Beam Frequency Dispersion Flexural Elastic Wave Motion Exact Strain Tensor Ex-act Large Deformation |
| Content Type | Text |
