| 用Galerkin法求弹性扁薄球壳的低阶振动频率 |
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| 引用本文： | 张敦福,孙淑娟. 用Galerkin法求弹性扁薄球壳的低阶振动频率[J]. 山东科技大学学报(自然科学版), 1999, 0(4) |
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| 作者姓名： | 张敦福 孙淑娟 |
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| 作者单位： | 山东科技大学基础部(张敦福)，烟台职工大学(孙淑娟) |
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| 摘 要： | 详细介绍了求解运动微分方程的近似解法———Ｇａｌｅｒｋｉｎ 法，用Ｇａｌｅｒｋｉｎ 法求出了固支圆板自由振动的低阶圆频率和弹性扁薄球壳的低阶振动频率Ｐｎ ，并与精确解和Ｒａｙｌｅｉｇｈ 法结果作了比较。
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| 关 键 词： | Galerkin法 弹性扁薄球壳 试探函数 完整非保守系统 直接解法 |
Calculation of the Lower Order Vibration Frequency of Elastic Shallow thin Spherical Shell by means of Galerkin Method |
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| ZHANG Dun fu ,SUN Shu juan. Calculation of the Lower Order Vibration Frequency of Elastic Shallow thin Spherical Shell by means of Galerkin Method[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 1999, 0(4) |
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| Authors: | ZHANG Dun fu SUN Shu juan |
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| Affiliation: | ZHANG Dun fu 1,SUN Shu juan 2 |
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| Abstract: | Galerkin Method which is used to derive the approximate solution of differential equations is introduced in detail in this paper. The lower order vibration frequency of elastic shallow thin spherical shell is calculated by means of Galerkin Method. |
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| Keywords: | Galerkin Method Elastic shallow thin spherical shell approximate function integral non conservative system direct method |
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