Three-dimensional vibration of a ring with a noncircular cross-section on an elastic foundation
| Autor: | Zhe Liu, Christian Oertel, Fuqiang Zhou, Yintao Wei |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Ring (mathematics) Mechanical Engineering Modal analysis Mathematical analysis Foundation (engineering) 02 engineering and technology 01 natural sciences law.invention Vibration Cross section (physics) 020303 mechanical engineering & transports 0203 mechanical engineering law 0103 physical sciences Radial tire 010301 acoustics Dynamic equation |
| Zdroj: | Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 232:2381-2393 |
| ISSN: | 2041-2983 0954-4062 |
| DOI: | 10.1177/0954406217720823 |
| Popis: | The three-dimensional dynamic equations of a ring with a noncircular cross-section on an elastic foundation are obtained using the Hamilton variation principle. In contrast to the previous rings on elastic foundation model, the developed model incorporates both the in-plane and out-of-plane bend and the out-of-plane torsion in displacement fields. The errors in the derivation of the initial stress and the work of the internal pressure in previous rings on elastic foundation models have been corrected. The mode expansion was used to obtain the analytical solution of the natural frequency. The initial motivation is to develop a theoretical model for car tire dynamics. Therefore, to validate the proposed model, the in-plane and out-of-plane vibrations of a truck tire have been analyzed using the proposed method. To further verify the accuracy of the model, the results of the theoretical formula are compared with the finite element analysis and modal test, and good agreement can be found. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|