| New matrix method for response analysis of circumferentially stiffened non-circular cylindrical shells under harmonic pressure |
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| 作者姓名： | 邹时智 黄玉盈 何锃 向宇 |
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| 作者单位： | Department of Mechanics Huazhong University of Science and Technology，Wuhan 430074，P.R.China，Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074，P.R.China，Department of Mechanics，Huazhong University of Science and Technology，Wuhan 430074，P.R.China，Department of Automotive Engineering，Guangxi University of Technology，Liuzhou 545006，P.R.China |
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| 基金项目： | 高等学校博士学科点专项科研项目 |
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| 摘 要： | Based on the governing equation of vibration of a kind of cylindrical shells written in a matrix differential equation of the first order,a new matrix method is pre- sented for steady-state vibration analysis of a noncircular cylindrical shell simply sup- ported at two ends and circumferentially stiffened by rings under harmonic pressure.Its difference from the existing works by Yamada and Irie is that the matrix differential equation is solved by using the extended homogeneous capacity precision integration ap- proach other than the Runge-Kutta-Gill integration method.The transfer matrix can easily be determined by a high precision integration scheme.In addition,besides the normal interacting forces,which were commonly adopted by researchers earlier,the tan- gential interacting forces between the cylindrical shell and the rings are considered at the same time by means of the Dirac-δfunction.The effects of the exciting frequencies on displacements and stresses responses have been investigated.Numerical results show that the proposed method is more efficient than the aforementioned method.
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| 关 键 词： | 非圆形柱形壳 积分法 谐和振动 半分析法 矩阵法 |
| 收稿时间： | 5 March 2007 |
| 修稿时间： | 2007-05-05 |
New matrix method for response analysis of circumferentially stiffened non-circular cylindrical shells under harmonic pressure |
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| Zou Shi-zhi,Huang Yu-ying,He Zeng,Xiang Yu.New matrix method for response analysis of circumferentially stiffened non-circular cylindrical shells under harmonic pressure[J].Applied Mathematics and Mechanics(English Edition),2007,28(10):1397-1405. |
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| Authors: | Zou Shi-zhi Huang Yu-ying He Zeng Xiang Yu |
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| Institution: | 1. Department of Mechanics, Huazhong University of Science and Technology,Wuhan 430074, P. R. China
2. Department of Automotive Engineering, Guangxi University of Technology,Liuzhou 545006, P. R. China |
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| Abstract: | Based on the governing equation of vibration of a kind of cylindrical shells written in a matrix differential equation of
the first order, a new matrix method is presented for steady-state vibration analysis of a noncircular cylindrical shell simply
supported at two ends and circumferentially stiffened by rings under harmonic pressure. Its difference from the existing works
by Yamada and Irie is that the matrix differential equation is solved by using the extended homogeneous capacity precision
integration approach other than the Runge-Kutta-Gill integration method. The transfer matrix can easily be determined by a
high precision integration scheme. In addition, besides the normal interacting forces, which were commonly adopted by researchers
earlier, the tangential interacting forces between the cylindrical shell and the rings are considered at the same time by
means of the Dirac-δ function. The effects of the exciting frequencies on displacements and stresses responses have been investigated. Numerical
results show that the proposed method is more efficient than the aforementioned method.
Project supported by the Doctoral Foundation of the National Education Ministry of China (No. 20040487013) |
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| Keywords: | circumferentially stiffened noncircular cylindrical shell extended homogeneous capacity precision integration method harmonic vibration semianalytical method |
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