Modal Analysis of Beam Structures with Random Field Models at Multiple Scales
Structure material properties are heterogeneous in nature and would be characterized with different statistics at different length scales due to the spatially averaging effects. This work develops a framework for the modal analysis of beam structures with random field models at multiple scales. In t...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/8847771 |
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| _version_ | 1850107230389534720 |
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| author | Dan Feng |
| author_facet | Dan Feng |
| author_sort | Dan Feng |
| collection | DOAJ |
| description | Structure material properties are heterogeneous in nature and would be characterized with different statistics at different length scales due to the spatially averaging effects. This work develops a framework for the modal analysis of beam structures with random field models at multiple scales. In this framework, the random field theory is adopted to model heterogeneous material properties, and the cross-correlations between material properties are explicitly considered. The modal parameters of a structure are then evaluated using the finite element (FE) method with the simulated heterogeneous material properties taken as input. With the aid of Monte Carlo simulation, the modal parameters are analyzed in a probabilistic manner. In addition, to accommodate the necessity of different mesh sizes in FE models, an approach of evaluating random field parameters and generating random field material properties at different length scales is developed. The performance of the proposed framework is demonstrated through the modal analysis of a simply supported beam, where the formulation of the multiscale random field approach is validated and the effects of heterogeneous material properties on modal parameters are analyzed. Parametric studies on the random field parameters, including the coefficient of variation and the scale of fluctuation, are also conducted to further investigate the relations between the random field parameters at different scales. |
| format | Article |
| id | doaj-art-4d11bf1efebf46a587f894da71543670 |
| institution | OA Journals |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-4d11bf1efebf46a587f894da715436702025-08-20T02:38:38ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/88477718847771Modal Analysis of Beam Structures with Random Field Models at Multiple ScalesDan Feng0Economics and Management School of Wuhan University, Wuhan 420106, ChinaStructure material properties are heterogeneous in nature and would be characterized with different statistics at different length scales due to the spatially averaging effects. This work develops a framework for the modal analysis of beam structures with random field models at multiple scales. In this framework, the random field theory is adopted to model heterogeneous material properties, and the cross-correlations between material properties are explicitly considered. The modal parameters of a structure are then evaluated using the finite element (FE) method with the simulated heterogeneous material properties taken as input. With the aid of Monte Carlo simulation, the modal parameters are analyzed in a probabilistic manner. In addition, to accommodate the necessity of different mesh sizes in FE models, an approach of evaluating random field parameters and generating random field material properties at different length scales is developed. The performance of the proposed framework is demonstrated through the modal analysis of a simply supported beam, where the formulation of the multiscale random field approach is validated and the effects of heterogeneous material properties on modal parameters are analyzed. Parametric studies on the random field parameters, including the coefficient of variation and the scale of fluctuation, are also conducted to further investigate the relations between the random field parameters at different scales.http://dx.doi.org/10.1155/2021/8847771 |
| spellingShingle | Dan Feng Modal Analysis of Beam Structures with Random Field Models at Multiple Scales Advances in Civil Engineering |
| title | Modal Analysis of Beam Structures with Random Field Models at Multiple Scales |
| title_full | Modal Analysis of Beam Structures with Random Field Models at Multiple Scales |
| title_fullStr | Modal Analysis of Beam Structures with Random Field Models at Multiple Scales |
| title_full_unstemmed | Modal Analysis of Beam Structures with Random Field Models at Multiple Scales |
| title_short | Modal Analysis of Beam Structures with Random Field Models at Multiple Scales |
| title_sort | modal analysis of beam structures with random field models at multiple scales |
| url | http://dx.doi.org/10.1155/2021/8847771 |
| work_keys_str_mv | AT danfeng modalanalysisofbeamstructureswithrandomfieldmodelsatmultiplescales |