Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion
A vibration transfer analysis method based on polynomial chaos expansion (PCE) is proposed in this study and is used to analyze the stochastic dynamic compliance of uncertain systems with the Gaussian distribution. The random dynamic compliance is established by utilizing mode superposition on the s...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8074351 |
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| author | Bin Xiao Yu-long Zhou Chao Gao Shuang-Xia Shi Ze-Xi Sun Zong-biao Song |
| author_facet | Bin Xiao Yu-long Zhou Chao Gao Shuang-Xia Shi Ze-Xi Sun Zong-biao Song |
| author_sort | Bin Xiao |
| collection | DOAJ |
| description | A vibration transfer analysis method based on polynomial chaos expansion (PCE) is proposed in this study and is used to analyze the stochastic dynamic compliance of uncertain systems with the Gaussian distribution. The random dynamic compliance is established by utilizing mode superposition on the system as the parameters of system uncertainties are regarded as input variables. Considering the asymptotic probability density function of mode shape, the dynamic compliance is decomposed into the mean of mode shape and the subsystem represented as an orthogonal polynomial expansion. Following this, the vibration transmission analysis approach is proposed for the random vibration. Results of a numerical simulation carried out employing the PCE approach show that broad-band spectrum analysis is more effective than narrow-band spectrum analysis because the former jump of the dynamic compliance amplitude is weakened. This proposed approach is valid and feasible, but since broad-band spectrum analysis loses some important information about the random vibration, both the aforementioned processes need to simultaneously be applied to analyze the random vibration transmission of low-medium frequency systems. |
| format | Article |
| id | doaj-art-013584f7918f427ba279a0067a678910 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-013584f7918f427ba279a0067a6789102025-02-03T01:04:07ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/80743518074351Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos ExpansionBin Xiao0Yu-long Zhou1Chao Gao2Shuang-Xia Shi3Ze-Xi Sun4Zong-biao Song5School of Energy and Power Engineering, Northeast Electric Power University, Jilin City, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin City, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin City, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin City, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin City, Jilin 132012, ChinaSchool of Energy and Power Engineering, Northeast Electric Power University, Jilin City, Jilin 132012, ChinaA vibration transfer analysis method based on polynomial chaos expansion (PCE) is proposed in this study and is used to analyze the stochastic dynamic compliance of uncertain systems with the Gaussian distribution. The random dynamic compliance is established by utilizing mode superposition on the system as the parameters of system uncertainties are regarded as input variables. Considering the asymptotic probability density function of mode shape, the dynamic compliance is decomposed into the mean of mode shape and the subsystem represented as an orthogonal polynomial expansion. Following this, the vibration transmission analysis approach is proposed for the random vibration. Results of a numerical simulation carried out employing the PCE approach show that broad-band spectrum analysis is more effective than narrow-band spectrum analysis because the former jump of the dynamic compliance amplitude is weakened. This proposed approach is valid and feasible, but since broad-band spectrum analysis loses some important information about the random vibration, both the aforementioned processes need to simultaneously be applied to analyze the random vibration transmission of low-medium frequency systems.http://dx.doi.org/10.1155/2020/8074351 |
| spellingShingle | Bin Xiao Yu-long Zhou Chao Gao Shuang-Xia Shi Ze-Xi Sun Zong-biao Song Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion Shock and Vibration |
| title | Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion |
| title_full | Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion |
| title_fullStr | Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion |
| title_full_unstemmed | Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion |
| title_short | Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion |
| title_sort | vibration analysis of driving point system with uncertainties using polynomial chaos expansion |
| url | http://dx.doi.org/10.1155/2020/8074351 |
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