| 任意形状薄板的非线性振动 |
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| 引用本文： | 宋家su. 任意形状薄板的非线性振动[J]. 复旦学报(自然科学版), 1989, 28(2): 164-169 |
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| 作者姓名： | 宋家su |
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| 作者单位： | 复旦大学应用力学系 |
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| 摘 要： | ![]()
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| 关 键 词： | 薄板 非线性振动 弹性振动 |
NONLINEAR VIBRATIONS OF PLATES WITH ARBITRARY SHAPE |
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| Song Jiasu,. NONLINEAR VIBRATIONS OF PLATES WITH ARBITRARY SHAPE[J]. Journal of Fudan University(Natural Science), 1989, 28(2): 164-169 |
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| Authors: | Song Jiasu |
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| Affiliation: | Department of Applied Mechanics |
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| Abstract: | ![]()
The use of the method of Fourier expansion of boundary condition to determinethe linear free-vibration modes of plates with arbitrary shape, together with the useof the dynamic analog of Berger's equation, yields the nonlinear ordinary differen-tial equation of the unknown time function, from which the expression of nonlinearfrequencies in terms of the complete elliptic integral of the first kind is obtained.Numerical examples are given for the nonlinear frequencies of single-mode forcircular and elliptic plates with edges clamped, and the comparison is made withthose previously known, which clarify the advantages of the present method. |
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| Keywords: | nonlinear vibration plates elastic vibration analytic-numerical technique. |
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