A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure
Considering that uncertainty is inherent and unavoidable in engineering practice and the available information about the uncertain parameters is always not sufficient, the paper tries to carry out the nonprobabilistic vibration reliability analysis so as to avoid resonance on uncertain structure wit...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/9218590 |
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| _version_ | 1832567310266662912 |
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| author | Yanyu Mo Shuxiang Guo Cheng Tang |
| author_facet | Yanyu Mo Shuxiang Guo Cheng Tang |
| author_sort | Yanyu Mo |
| collection | DOAJ |
| description | Considering that uncertainty is inherent and unavoidable in engineering practice and the available information about the uncertain parameters is always not sufficient, the paper tries to carry out the nonprobabilistic vibration reliability analysis so as to avoid resonance on uncertain structure with bounded parameters. The input uncertain-but-bounded parameters are treated as interval variables, and an interval model is adopted to describe bounded uncertainties. Then a theory of nonprobabilistic reliability is introduced, in which the dimensionless nonprobabilistic reliability index and system reliability index are defined. In order to investigate the resonance failure with reliability method, the resonance failure domains are stated according to the relationships between the natural frequencies and the excitation frequencies. Then the uncertain structure is modeled as a series system and a system reliability index is proposed to evaluate the safety of the structure. The paper also takes a frequency analysis on the uncertain space beam structure to get the resonance failure modes. A frequency analysis method based on the monotonicity discriminant of the frequency sensitivity is presented. Then an optimization algorithm is introduced to verify the validity of the former frequency analysis method. Two examples are provided to illustrate the effectiveness and feasibility of the presented method. |
| format | Article |
| id | doaj-art-5d65705d8ac84e88996d44ae0118dbe2 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-5d65705d8ac84e88996d44ae0118dbe22025-02-03T01:01:51ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/92185909218590A Vibration Reliability Analysis Method for the Uncertain Space Beam StructureYanyu Mo0Shuxiang Guo1Cheng Tang2Aeronautics and Astronautics Engineering College, Air Force Engineering University, Xi’an 710038, ChinaScience College, Air Force Engineering University, Xi’an 710051, ChinaScience College, Air Force Engineering University, Xi’an 710051, ChinaConsidering that uncertainty is inherent and unavoidable in engineering practice and the available information about the uncertain parameters is always not sufficient, the paper tries to carry out the nonprobabilistic vibration reliability analysis so as to avoid resonance on uncertain structure with bounded parameters. The input uncertain-but-bounded parameters are treated as interval variables, and an interval model is adopted to describe bounded uncertainties. Then a theory of nonprobabilistic reliability is introduced, in which the dimensionless nonprobabilistic reliability index and system reliability index are defined. In order to investigate the resonance failure with reliability method, the resonance failure domains are stated according to the relationships between the natural frequencies and the excitation frequencies. Then the uncertain structure is modeled as a series system and a system reliability index is proposed to evaluate the safety of the structure. The paper also takes a frequency analysis on the uncertain space beam structure to get the resonance failure modes. A frequency analysis method based on the monotonicity discriminant of the frequency sensitivity is presented. Then an optimization algorithm is introduced to verify the validity of the former frequency analysis method. Two examples are provided to illustrate the effectiveness and feasibility of the presented method.http://dx.doi.org/10.1155/2016/9218590 |
| spellingShingle | Yanyu Mo Shuxiang Guo Cheng Tang A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure Shock and Vibration |
| title | A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure |
| title_full | A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure |
| title_fullStr | A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure |
| title_full_unstemmed | A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure |
| title_short | A Vibration Reliability Analysis Method for the Uncertain Space Beam Structure |
| title_sort | vibration reliability analysis method for the uncertain space beam structure |
| url | http://dx.doi.org/10.1155/2016/9218590 |
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