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| 弹性介质中各向异性球壳的自由振动 | |
| 引用本文： | 丁皓江 郭乙木. 弹性介质中各向异性球壳的自由振动[J]. 振动工程学报, 1996, 9(4): 323-332 |
| 作者姓名： | 丁皓江 郭乙木 |
| 作者单位： | 浙江大学土木系，浙江大学力学系 |
| 摘 要： | 用三种壳体理论分析了Ｐａｓｔｅｒｎａｋ型弹性介质中球面各向同性球壳的非轴对称自由振动，得到了两类不同形式的自由振动频率方程，弹性介质只对第二类振动有影响。对三种壳体理论作了数值计算，并和三维弹性理论作了比较，表明六模态中厚壳理论有较高的精度和较广的适用范围。 |
| 关 键 词： | 球壳；自由振动；球面各向同性；Pasternak型弹性介质；频率方程 |
Free Vibrations of Anisotropic Spherical Shell Embedded in an Elastic Medium |
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| Ding Haojiang Guo Yimu Chen Weiqiu. Free Vibrations of Anisotropic Spherical Shell Embedded in an Elastic Medium[J]. Journal of Vibration Engineering, 1996, 9(4): 323-332 | |
| Authors: | Ding Haojiang Guo Yimu Chen Weiqiu |
| Affiliation: | Ding Haojiang 1 Guo Yimu 2 Chen Weiqiu 1 |
| Abstract: | The free vibration of a spherically isotropic spherical shell embedded in the Pasternak elastic medium is analyzed by means of three different shell theories.Two different kinds of vibration frequency equations are obtained. It is found that only the second kind of vibration is affected by surrounding medium.Numerical results are presented and a comparison is made between these theories and three dimensional elastic one.It is shown that the six mode shell theory enables one to analyze the dynamic response of embedded anisotropic spherical shell successfully. |
| Keywords: | spherical shell free vibration spherical isotropy Pasternak type elastic medium frequency equation |
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