| 复合材料椭圆板的固有频率 |
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| 引用本文： | 武兰河, 吴松. 复合材料椭圆板的固有频率[J]. 工程力学, 2001, 18(2): 82-91. |
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| 作者姓名： | 武兰河 吴松 |
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| 作者单位： | 1.石家庄铁道学院交通工程系, 石家庄050043;2. 石家庄铁路工程学校校长办公室, 石家庄050041 |
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| 摘 要： | 本文用Ritz能量法求解层叠复合材料椭圆板的固有频率。基于Reddy的高阶剪切变形理论导出了板的能量泛函,然后用一个完备的二元多项式级数与一个满足边界条件的基本函数的乘积作为振型函数,由能量最小原理导出了求解固有频率的特征方程。文中给出了详细的数学公式,研究了方法的收敛性和计算精度,并与已有结果作了比较。
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| 关 键 词： | 复合材料椭圆板 自由振动 固有频率 高阶理论 |
| 文章编号： | 1000-4750(2001)02-082-10 |
| 收稿时间： | 1999-09-19 |
| 修稿时间： | 2000-03-20 |
NATURAL FREQUENCIES OF LAMINATED COMPOSITE ELLIPTICAL PLATES |
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| WU Lan-he, WU Song. NATURAL FREQUENCIES OF LAMINATED COMPOSITE ELLIPTICAL PLATES[J]. Engineering Mechanics, 2001, 18(2): 82-91. |
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| Authors: | WU Lan-he WU Song |
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| Affiliation: | 1.Department of Communication Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043;2. President's Office, Shijiazhuang Railway Engineering School, Shijiazhuang 050041 |
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| Abstract: | This paper is concerned with free vibration analysis of laminated composite elliptical plates. The global Ritz energy method is employed to derive the governing eigenvalue equation. A set of orthogonall complete polynomials is taken as trial functions which include a basic function satisfying various boundary constraints. Reddy's higher-order shear deformation theory is used to account for the effects of transverse shear deformation. Comparison is made with other available solutions. The accuracy of computed natural frequencies and the convergence of the present approach are demonstrated. |
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| Keywords: | composite elliptical plates free vibration natural frequency higher-order shear theory |
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