引用本文: | 唐乾刚,徐后华.康特洛维奇的数值方法在矩形薄板横向弯曲振动中的应用.[J].国防科技大学学报,1988,10(1):57-64.[点击复制] |
Tang Qiangang,Xu Houhua.The Application of Kantorovich's Numerical Method in the Bending Vibration of Rectangular Plates[J].Journal of National University of Defense Technology,1988,10(1):57-64[点击复制] |
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康特洛维奇的数值方法在矩形薄板横向弯曲振动中的应用 |
唐乾刚, 徐后华 |
(航天技术系)
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摘要: |
本文提出的解决矩形薄板弯曲振动问题的康特洛维奇的数值方法,大大减少了所需要的计算机内存。通过算例表明它具有比较高的计算精度和计算速度,是一种有前途的计算方法。 |
关键词: 康特洛维奇近似变分法,样条函数,特征值问题 |
DOI: |
投稿日期:1987-05-15 |
基金项目: |
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The Application of Kantorovich's Numerical Method in the Bending Vibration of Rectangular Plates |
Tang Qiangang, Xu Houhua |
(Department of Aerospace Technology)
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Abstract: |
In this paper a new numerical method called kantorovich's method is presented for solving the bending vibration of rectangular plates. The store capacity needed in the computer can be largely reduced by using the method. The examples calculated show that the method has an advantage of a high speed of calculation and high precision. The method is of the bright future. |
Keywords: Kantorovich's approximate caculus of variations,Spline function,Problems of eigenvalue |
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