Anomalous dynamic elastic—plastic response of a galerkin beam model
| Autor: | Ying Qian, Paul S. Symonds |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Partial differential equation
Mechanical Engineering Numerical analysis Mathematical analysis Degrees of freedom (physics and chemistry) Duffing equation Equations of motion Lyapunov exponent Condensed Matter Physics symbols.namesake Classical mechanics Mechanics of Materials symbols General Materials Science Galerkin method Beam (structure) Civil and Structural Engineering Mathematics |
| Zdroj: | International Journal of Mechanical Sciences. 38:687-708 |
| ISSN: | 0020-7403 |
| DOI: | 10.1016/0020-7403(95)00082-8 |
| Popis: | A study of the anomalous motion of an elastic—plastic beam under short pulse loading is presented. The geometric nonlinearity due to axial end constraints is taken into account. We apply the Galerkin method to the governing partial differential equation of the transverse motion to obtain a general model of n degrees of freedom ( n DoF). The results of elastic—plastic deformation analysis and dynamic response for the 2DoF model of a pin-ended beam are presented. The regular and irregular motions of the 2DoF model for the pin-ended beam are examined by various methods including time history, phase diagram, Lyapunov characteristic exponent and power spectral density. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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