Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads
The panel structures of flight vehicles at supersonic or hypersonic speeds are subjected to combined thermal, acoustic, and aerodynamic loads. Because of the combined thermal and acoustic loads, the panel structure may exhibit nonlinear random vibration responses, such as the snap-through phenomenon...
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Language: | English |
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Wiley
2018-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2018/9751038 |
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author | Yeong-Nam Kim Jae-Sang Park Eun-Soo Go Min-Hyuk Jeon In-Gul Kim |
author_facet | Yeong-Nam Kim Jae-Sang Park Eun-Soo Go Min-Hyuk Jeon In-Gul Kim |
author_sort | Yeong-Nam Kim |
collection | DOAJ |
description | The panel structures of flight vehicles at supersonic or hypersonic speeds are subjected to combined thermal, acoustic, and aerodynamic loads. Because of the combined thermal and acoustic loads, the panel structure may exhibit nonlinear random vibration responses, such as the snap-through phenomenon and random vibrations. These unique dynamic behaviors of the panel structure under combined thermal and acoustic loads can result in serious damage or fatigue failure of the panel structures of high-speed flight vehicles. This study investigates the nonlinear random responses of thin and thick panels under combined thermal and acoustic loads. The panels are modeled based on the first-order shear deformation theory (FSDT) to account for transverse shear deformations. The von-Karman nonlinear strain–displacement relationship is used for geometric nonlinearity in the out-of-plane direction of the panel. The thermal load distribution is assumed to be constant in the thickness direction of the panel. The random acoustic load is represented as stationary White–Gaussian random pressure with zero mean and uniform magnitude over the panels. Static and dynamic equations are derived using the principle of virtual work and the nonlinear finite element method. A thermal postbuckling analysis is conducted using the Newton–Raphson method, and the dynamic nonlinear equations are solved using the Newmark-β time integration method. In the present numerical analyses, the snap-through responses for both the thin and thick panels are investigated, and the results indicate that the loading conditions that cause snap-through are different for thin and thick panels. |
format | Article |
id | doaj-art-f4f916ebdc6b410baa04fdfef7cf4ebd |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Shock and Vibration |
spelling | doaj-art-f4f916ebdc6b410baa04fdfef7cf4ebd2025-02-03T06:08:26ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/97510389751038Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic LoadsYeong-Nam Kim0Jae-Sang Park1Eun-Soo Go2Min-Hyuk Jeon3In-Gul Kim4Department of Aerospace Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaDepartment of Aerospace Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaDepartment of Aerospace Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaDepartment of Aerospace Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaDepartment of Aerospace Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaThe panel structures of flight vehicles at supersonic or hypersonic speeds are subjected to combined thermal, acoustic, and aerodynamic loads. Because of the combined thermal and acoustic loads, the panel structure may exhibit nonlinear random vibration responses, such as the snap-through phenomenon and random vibrations. These unique dynamic behaviors of the panel structure under combined thermal and acoustic loads can result in serious damage or fatigue failure of the panel structures of high-speed flight vehicles. This study investigates the nonlinear random responses of thin and thick panels under combined thermal and acoustic loads. The panels are modeled based on the first-order shear deformation theory (FSDT) to account for transverse shear deformations. The von-Karman nonlinear strain–displacement relationship is used for geometric nonlinearity in the out-of-plane direction of the panel. The thermal load distribution is assumed to be constant in the thickness direction of the panel. The random acoustic load is represented as stationary White–Gaussian random pressure with zero mean and uniform magnitude over the panels. Static and dynamic equations are derived using the principle of virtual work and the nonlinear finite element method. A thermal postbuckling analysis is conducted using the Newton–Raphson method, and the dynamic nonlinear equations are solved using the Newmark-β time integration method. In the present numerical analyses, the snap-through responses for both the thin and thick panels are investigated, and the results indicate that the loading conditions that cause snap-through are different for thin and thick panels.http://dx.doi.org/10.1155/2018/9751038 |
spellingShingle | Yeong-Nam Kim Jae-Sang Park Eun-Soo Go Min-Hyuk Jeon In-Gul Kim Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads Shock and Vibration |
title | Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads |
title_full | Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads |
title_fullStr | Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads |
title_full_unstemmed | Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads |
title_short | Nonlinear Random Response Analyses of Panels Considering Transverse Shear Deformations under Combined Thermal and Acoustic Loads |
title_sort | nonlinear random response analyses of panels considering transverse shear deformations under combined thermal and acoustic loads |
url | http://dx.doi.org/10.1155/2018/9751038 |
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