Strongly nonlinear free vibration of four edges simply supported stiffened plates with geometric imperfections
| Autor: | Li Chen, Zhaoting Chen, Chunguang Dong, Ronghui Wang |
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| Rok vydání: | 2016 |
| Předmět: |
Engineering
business.industry Mechanical Engineering Nonlinear vibration Frequency ratio 02 engineering and technology Structural engineering 01 natural sciences Vibration Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Normal mode 0103 physical sciences business 010301 acoustics |
| Zdroj: | Journal of Mechanical Science and Technology. 30:3469-3476 |
| ISSN: | 1976-3824 1738-494X |
| DOI: | 10.1007/s12206-016-0706-4 |
| Popis: | This article investigated the strongly nonlinear free vibration of four edges simply supported stiffened plates with geometric imperfections. The von Karman nonlinear strain-displacement relationships are applied. The nonlinear vibration of stiffened plate is reduced to a one-degree-of-freedom nonlinear system by assuming mode shapes. The Multiple scales Lindstedt-Poincare method (MSLP) and Modified Lindstedt-Poincare method (MLP) are used to solve the governing equations of vibration. Numerical examples for stiffened plates with different initial geometric imperfections are presented in order to discuss the influences to the strongly nonlinear free vibration of the stiffened plate. The results showed that: the frequency ratio reduced as the initial geometric imperfections of plate increased, which showed that the increase of the initial geometric imperfections of plate can lead to the decrease of nonlinear effect; by comparing the results calculated by MSLP method, using MS method to study strongly nonlinear vibration can lead to serious mistakes. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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