Stochastic Responses for the Vibro-Impact System under the Broadband Noise
The stochastic averaging is applied to derive the random responses of the SDOF vibro-impact system with one-side wall under additive and multiplicative broadband noise, where the impact is described by the modified Hertzian contact model. Compared with the popular simplified “classical model” (i.e.,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/2383576 |
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| _version_ | 1832558251256840192 |
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| author | S. W. Guan Q. Ling M. Xu |
| author_facet | S. W. Guan Q. Ling M. Xu |
| author_sort | S. W. Guan |
| collection | DOAJ |
| description | The stochastic averaging is applied to derive the random responses of the SDOF vibro-impact system with one-side wall under additive and multiplicative broadband noise, where the impact is described by the modified Hertzian contact model. Compared with the popular simplified “classical model” (i.e., x˙−=rx˙+), the whole impact process is captured by the modified Hertzian contact model without any assumptions. One example is given to illustrate the proposed technique. The comparison between the analytical results and those from Monte Carlo simulations manifests the accuracy of the proposed technique. It should be pointed out that the technique proposed in this paper is powerful for the cases of weak excitation and big enough bandwidth of the broadband noise. Finally, the influences of various parameters are also discussed in detail. |
| format | Article |
| id | doaj-art-785ad1ac697740ef946695b917108cec |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-785ad1ac697740ef946695b917108cec2025-02-03T01:32:48ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/23835762383576Stochastic Responses for the Vibro-Impact System under the Broadband NoiseS. W. Guan0Q. Ling1M. Xu2College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, ChinaZhejiang Industry Design & Research Institute, Hangzhou 310018, ChinaCollege of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, ChinaThe stochastic averaging is applied to derive the random responses of the SDOF vibro-impact system with one-side wall under additive and multiplicative broadband noise, where the impact is described by the modified Hertzian contact model. Compared with the popular simplified “classical model” (i.e., x˙−=rx˙+), the whole impact process is captured by the modified Hertzian contact model without any assumptions. One example is given to illustrate the proposed technique. The comparison between the analytical results and those from Monte Carlo simulations manifests the accuracy of the proposed technique. It should be pointed out that the technique proposed in this paper is powerful for the cases of weak excitation and big enough bandwidth of the broadband noise. Finally, the influences of various parameters are also discussed in detail.http://dx.doi.org/10.1155/2019/2383576 |
| spellingShingle | S. W. Guan Q. Ling M. Xu Stochastic Responses for the Vibro-Impact System under the Broadband Noise Shock and Vibration |
| title | Stochastic Responses for the Vibro-Impact System under the Broadband Noise |
| title_full | Stochastic Responses for the Vibro-Impact System under the Broadband Noise |
| title_fullStr | Stochastic Responses for the Vibro-Impact System under the Broadband Noise |
| title_full_unstemmed | Stochastic Responses for the Vibro-Impact System under the Broadband Noise |
| title_short | Stochastic Responses for the Vibro-Impact System under the Broadband Noise |
| title_sort | stochastic responses for the vibro impact system under the broadband noise |
| url | http://dx.doi.org/10.1155/2019/2383576 |
| work_keys_str_mv | AT swguan stochasticresponsesforthevibroimpactsystemunderthebroadbandnoise AT qling stochasticresponsesforthevibroimpactsystemunderthebroadbandnoise AT mxu stochasticresponsesforthevibroimpactsystemunderthebroadbandnoise |