Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth
In the previous study, one of the authors investigated stationary response characteristics of linear systems subjected to non-Gaussian random excitation. It was revealed that the probability distribution of the stationary response varies significantly depending upon the bandwidth of the excitation p...
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2021-07-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/87/899/87_21-00047/_pdf/-char/en |
| _version_ | 1797989084749103104 |
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| author | Hideto FUKUSHIMA Takahiro TSUCHIDA |
| author_facet | Hideto FUKUSHIMA Takahiro TSUCHIDA |
| author_sort | Hideto FUKUSHIMA |
| collection | DOAJ |
| description | In the previous study, one of the authors investigated stationary response characteristics of linear systems subjected to non-Gaussian random excitation. It was revealed that the probability distribution of the stationary response varies significantly depending upon the bandwidth of the excitation power spectrum. In real engineering problems, on the other hand, the transient response before reaching the stationary state is also crucial. Therefore, in this paper, we explore transient response characteristics to non-Gaussian random excitation by Monte Carlo simulation. The non-Gaussian excitation is prescribed by both a probability density function and a power spectrum with bandwidth parameter. In order to find the response characteristics that appears commonly for various non-Gaussian excitation, we consider four kinds of non-Gaussian distributions for the probability distributions of the excitations. Their shapes are much different from a Gaussian distribution and also distinct from each other. For such non-Gaussian random excitations, we look into the relationship between the transient response characteristics and the excitation bandwidth. Specifically, first, the transient response distribution is examined. Then, we observe the variance, skewness and kurtosis of the transient response to discuss the time variation of the response distribution in more detail. |
| first_indexed | 2024-04-11T08:13:32Z |
| format | Article |
| id | doaj.art-3dc1112811c043e0ad91d13b855afe01 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T08:13:32Z |
| publishDate | 2021-07-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-3dc1112811c043e0ad91d13b855afe012022-12-22T04:35:14ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612021-07-018789921-0004721-0004710.1299/transjsme.21-00047transjsmeTransient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidthHideto FUKUSHIMA0Takahiro TSUCHIDA1Department of Systems and Control Engineering, Tokyo Institute of TechnologyDepartment of Systems and Control Engineering, Tokyo Institute of TechnologyIn the previous study, one of the authors investigated stationary response characteristics of linear systems subjected to non-Gaussian random excitation. It was revealed that the probability distribution of the stationary response varies significantly depending upon the bandwidth of the excitation power spectrum. In real engineering problems, on the other hand, the transient response before reaching the stationary state is also crucial. Therefore, in this paper, we explore transient response characteristics to non-Gaussian random excitation by Monte Carlo simulation. The non-Gaussian excitation is prescribed by both a probability density function and a power spectrum with bandwidth parameter. In order to find the response characteristics that appears commonly for various non-Gaussian excitation, we consider four kinds of non-Gaussian distributions for the probability distributions of the excitations. Their shapes are much different from a Gaussian distribution and also distinct from each other. For such non-Gaussian random excitations, we look into the relationship between the transient response characteristics and the excitation bandwidth. Specifically, first, the transient response distribution is examined. Then, we observe the variance, skewness and kurtosis of the transient response to discuss the time variation of the response distribution in more detail.https://www.jstage.jst.go.jp/article/transjsme/87/899/87_21-00047/_pdf/-char/ennon-gaussian random excitationlinear systemtransient response distributiontransient response statisticsvarianceskewnesskurtosis |
| spellingShingle | Hideto FUKUSHIMA Takahiro TSUCHIDA Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth Nihon Kikai Gakkai ronbunshu non-gaussian random excitation linear system transient response distribution transient response statistics variance skewness kurtosis |
| title | Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth |
| title_full | Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth |
| title_fullStr | Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth |
| title_full_unstemmed | Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth |
| title_short | Transient response characteristics of linear systems subjected to non-Gaussian random excitation with a wide range of bandwidth |
| title_sort | transient response characteristics of linear systems subjected to non gaussian random excitation with a wide range of bandwidth |
| topic | non-gaussian random excitation linear system transient response distribution transient response statistics variance skewness kurtosis |
| url | https://www.jstage.jst.go.jp/article/transjsme/87/899/87_21-00047/_pdf/-char/en |
| work_keys_str_mv | AT hidetofukushima transientresponsecharacteristicsoflinearsystemssubjectedtonongaussianrandomexcitationwithawiderangeofbandwidth AT takahirotsuchida transientresponsecharacteristicsoflinearsystemssubjectedtonongaussianrandomexcitationwithawiderangeofbandwidth |