Free vibration analysis of corrugated-core sandwich plates using a meshfree Galerkin method based on the first-order shear deformation theory
Free vibration analysis of corrugated-core sandwich plates using a meshfree Galerkin method based on the first-order shear deformation theory
复制标题
基于一阶剪切变形理论的无网格伽辽金法对波纹芯夹层板的自由振动分析
DOI：
10.1016/j.ijmecsci.2013.10.009
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发表时间：
2014
影响因子：
7.3
通讯作者：
Zhang, Xiong
中科院分区：
文献类型：
--
作者：
Peng, Lin-Xin;Yan, Shi-tao;Mo, Gui-kai;Zhang, Xiong
采用基于一阶剪切变形理论的无网格伽辽金法对波纹夹芯板的自由振动进行了分析。CSP被认为是一个复合结构的三个成员-两个面板在顶部和底部，和一个波纹板在中间的结构。面板视为各向同性板，波纹板近似为正交各向异性板，沿沿着两个垂直方向具有不同的弹性性质。采用基于FSDT的无网格伽辽金法建立了杆件的动力学方程。在克服了杆件间位移协调条件难以实现的困难后，通过叠加杆件的动力学方程得到了整个CSP的控制方程。该方法的无网格特性保证了在推导动力学方程时不使用网格，因此在研究有限元法中不可避免地需要重新划分网格的问题时，该方法具有更大的灵活性。用正交各向异性板近似波纹板也简化了分析，而没有太大的精度损失。一些选定的例子进行了研究，以证明所提出的方法的准确性和收敛性。这些例子所得到的结果进行了比较与ANSYS的解决方案。所有情况下的一致性都很明显。
This paper focuses on free vibration analysis of corrugated-core sandwich plates (CSP) via a meshfree Galerkin method based on a first-order shear deformation theory (FSDT). A CSP is considered as a composite structure of three members — two face sheets at the top and the bottom, and one corrugated sheet in the middle of the structure. The face sheets are taken as isotropic plates, and the corrugated sheet is approximated by an orthotropic plate that has different elastic properties along the two perpendicular directions. Dynamic equations of the members are given by the meshfree Galerkin method based on the FSDT. After overcoming the difficulty to implement the displacement compatibility conditions among the members, the governing equation for the entire CSP is obtained by superposing the dynamic equations of the members. The meshfree characteristic of the proposed method guarantee that no meshes are used in deriving the dynamic equations, therefore the proposed method is more flexible in studying problems for which remeshing is inevitable with the finite element methods. The approximation of the corrugated sheet with an orthotropic plate also simplifies the analysis without much loss of precision. A few selected examples are studied to demonstrate the accuracy and convergence of the proposed method. The results obtained for these examples are compared with the ANSYS solutions. Good agreement is evident for all cases.
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影响因子：
3.6
作者：
Dong-dong Wang;S. B. Dong;Jiun-Shyan Chen
通讯作者：
Dong-dong Wang;S. B. Dong;Jiun-Shyan Chen
影响因子：
5
作者：
Liang, CC;Yang, MF;Wu, PW
通讯作者：
Wu, PW
DOI：
10.1007/s11433-004-0027-y
发表时间：
2006-02
期刊：
Science in China Series G-Physics Mechanics & Astronomy
影响因子：
--
作者：
Cheng, YM;Li, JH
通讯作者：
Li, JH
影响因子：
6.3
作者：
P. Isaksson;A. Krusper;P. Gradin
通讯作者：
P. Isaksson;A. Krusper;P. Gradin
DOI：
10.1061/(asce)0733-9445(1996)122:8(958
发表时间：
1996-08
期刊：
Journal of Structural Engineering-asce
影响因子：
--
作者：
T. Fung;K. Tan;T. Lok
通讯作者：
T. Fung;K. Tan;T. Lok