Application of Finite Volume Method to Structural Stochastic Dynamics
The stochastic dynamic problems were becoming more difficult after considering the influences of stochastic factors and the complexity of the dynamic problems. To this background, the finite volume method combined with Perturbation Method was proposed for the stochastic dynamic analysis. The equatio...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2013-01-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1155/2013/391704 |
| _version_ | 1818341832134754304 |
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| author | Weidong Chen Yanchun Yu Ping Jia Xiande Wu Fengchao Zhang |
| author_facet | Weidong Chen Yanchun Yu Ping Jia Xiande Wu Fengchao Zhang |
| author_sort | Weidong Chen |
| collection | DOAJ |
| description | The stochastic dynamic problems were becoming more difficult after considering the influences of stochastic factors and the complexity of the dynamic problems. To this background, the finite volume method combined with Perturbation Method was proposed for the stochastic dynamic analysis. The equations of perturbation-finite volume method were derived; the explicit expressions between random response and basic random variables were given; the method of stochastic dynamic analysis was discussed; and the examples were presented to verify the perturbation-finite volume method. The results of perturbation-finite volume method were compared with the results of Monte Carlo Method, which proved that the proposed method was correct and accurate. Because the proposed method was simple and clear, the equations were easy to establish and the efficiency was improved. Meanwhile, the proposed method was successfully applied to the stochastic dynamic analysis of linear multibody system, which was verified through the example in this paper. |
| first_indexed | 2024-12-13T16:05:03Z |
| format | Article |
| id | doaj.art-be68b4b8c3b8405a8587c7c13af4873c |
| institution | Directory Open Access Journal |
| issn | 1687-8132 |
| language | English |
| last_indexed | 2024-12-13T16:05:03Z |
| publishDate | 2013-01-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-be68b4b8c3b8405a8587c7c13af4873c2022-12-21T23:39:04ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322013-01-01510.1155/2013/39170410.1155_2013/391704Application of Finite Volume Method to Structural Stochastic DynamicsWeidong ChenYanchun YuPing JiaXiande WuFengchao ZhangThe stochastic dynamic problems were becoming more difficult after considering the influences of stochastic factors and the complexity of the dynamic problems. To this background, the finite volume method combined with Perturbation Method was proposed for the stochastic dynamic analysis. The equations of perturbation-finite volume method were derived; the explicit expressions between random response and basic random variables were given; the method of stochastic dynamic analysis was discussed; and the examples were presented to verify the perturbation-finite volume method. The results of perturbation-finite volume method were compared with the results of Monte Carlo Method, which proved that the proposed method was correct and accurate. Because the proposed method was simple and clear, the equations were easy to establish and the efficiency was improved. Meanwhile, the proposed method was successfully applied to the stochastic dynamic analysis of linear multibody system, which was verified through the example in this paper.https://doi.org/10.1155/2013/391704 |
| spellingShingle | Weidong Chen Yanchun Yu Ping Jia Xiande Wu Fengchao Zhang Application of Finite Volume Method to Structural Stochastic Dynamics Advances in Mechanical Engineering |
| title | Application of Finite Volume Method to Structural Stochastic Dynamics |
| title_full | Application of Finite Volume Method to Structural Stochastic Dynamics |
| title_fullStr | Application of Finite Volume Method to Structural Stochastic Dynamics |
| title_full_unstemmed | Application of Finite Volume Method to Structural Stochastic Dynamics |
| title_short | Application of Finite Volume Method to Structural Stochastic Dynamics |
| title_sort | application of finite volume method to structural stochastic dynamics |
| url | https://doi.org/10.1155/2013/391704 |
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