Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method
During flight, projectiles are subject to uncertainties such as aerodynamic forces, wind gusts, and measurement errors; all of which significantly affect their stability and accuracy. As a result, studying the response of projectile systems under stochastic excitation is essential. This paper focuse...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/ijae/7720612 |
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| _version_ | 1832568838425673728 |
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| author | Liang Wang Xinyi Li Jiahui Peng Zhonghua Zhang Shuangqi Dong |
| author_facet | Liang Wang Xinyi Li Jiahui Peng Zhonghua Zhang Shuangqi Dong |
| author_sort | Liang Wang |
| collection | DOAJ |
| description | During flight, projectiles are subject to uncertainties such as aerodynamic forces, wind gusts, and measurement errors; all of which significantly affect their stability and accuracy. As a result, studying the response of projectile systems under stochastic excitation is essential. This paper focuses on the solution and analysis of projectile system responses under stochastic excitation. We employed the path integral method to compute the transient and stationary probability density functions for projectile systems subjected to Gaussian stochastic external and parametric excitations. Based on the probabilistic responses, we analyzed the evolution of the system’s probability density function over time under Gaussian white noise excitation, as well as the changes in the stationary probability density function with air density and flight speed as bifurcation parameters. The analysis results indicate that within a specific range of parameter variations, air density can induce stochastic P-bifurcation phenomena. Furthermore, increasing air density and flight speed can enhance the stability of the projectile. |
| format | Article |
| id | doaj-art-4f2e1608ec9344f1841fab029011f313 |
| institution | Kabale University |
| issn | 1687-5974 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-4f2e1608ec9344f1841fab029011f3132025-02-03T00:00:01ZengWileyInternational Journal of Aerospace Engineering1687-59742024-01-01202410.1155/ijae/7720612Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral MethodLiang Wang0Xinyi Li1Jiahui Peng2Zhonghua Zhang3Shuangqi Dong4Department of Applied Probability and StatisticsDepartment of Applied Probability and StatisticsDepartment of Applied Probability and StatisticsDepartment of Applied Probability and StatisticsDepartment of Applied Probability and StatisticsDuring flight, projectiles are subject to uncertainties such as aerodynamic forces, wind gusts, and measurement errors; all of which significantly affect their stability and accuracy. As a result, studying the response of projectile systems under stochastic excitation is essential. This paper focuses on the solution and analysis of projectile system responses under stochastic excitation. We employed the path integral method to compute the transient and stationary probability density functions for projectile systems subjected to Gaussian stochastic external and parametric excitations. Based on the probabilistic responses, we analyzed the evolution of the system’s probability density function over time under Gaussian white noise excitation, as well as the changes in the stationary probability density function with air density and flight speed as bifurcation parameters. The analysis results indicate that within a specific range of parameter variations, air density can induce stochastic P-bifurcation phenomena. Furthermore, increasing air density and flight speed can enhance the stability of the projectile.http://dx.doi.org/10.1155/ijae/7720612 |
| spellingShingle | Liang Wang Xinyi Li Jiahui Peng Zhonghua Zhang Shuangqi Dong Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method International Journal of Aerospace Engineering |
| title | Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method |
| title_full | Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method |
| title_fullStr | Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method |
| title_full_unstemmed | Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method |
| title_short | Response Analysis of Projectile System Under Gaussian Noise Excitation Using Path Integral Method |
| title_sort | response analysis of projectile system under gaussian noise excitation using path integral method |
| url | http://dx.doi.org/10.1155/ijae/7720612 |
| work_keys_str_mv | AT liangwang responseanalysisofprojectilesystemundergaussiannoiseexcitationusingpathintegralmethod AT xinyili responseanalysisofprojectilesystemundergaussiannoiseexcitationusingpathintegralmethod AT jiahuipeng responseanalysisofprojectilesystemundergaussiannoiseexcitationusingpathintegralmethod AT zhonghuazhang responseanalysisofprojectilesystemundergaussiannoiseexcitationusingpathintegralmethod AT shuangqidong responseanalysisofprojectilesystemundergaussiannoiseexcitationusingpathintegralmethod |