| 关于非线性振子周期解的广义振型迭代法 |
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| 引用本文： | 盛宏玉.关于非线性振子周期解的广义振型迭代法[J].安徽建筑工业学院学报,1996(4). |
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| 作者姓名： | 盛宏玉 |
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| 作者单位： | 合肥工业大学建筑工程系 |
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| 摘 要： | 以时间比拟梁的坐标，将二阶非线性振子的微分方程与梁的弯曲公式相比较，运用Ｎｅｗｍａｒｋ数值方法计算虚梁的剪力和弯矩，给出计算非线性振子频率和广义振型的迭代公式。算例表明，该法对求非线性振子的周期解是非常有效的。
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| 关 键 词： | 非线性振子，周期解，比拟，迭代法 |
GENERALIZED MODE ITERATIVE METHOD FOR THE PERIODIC SOLUTION OF NONLINEAR VIBRATOR |
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| Sheng Hongyu.GENERALIZED MODE ITERATIVE METHOD FOR THE PERIODIC SOLUTION OF NONLINEAR VIBRATOR[J].Journal of Anhui Institute of Architecture(Natural Science),1996(4). |
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| Authors: | Sheng Hongyu |
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| Affiliation: | Sheng Hongyu |
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| Abstract: | This Paper makes an analogy between the time variable and the beam coordinate, compares the differential equation of two-order nonlinear vibrator with the bending formulas of beam, and gives an iterative formula for calculating the frequency and generalized vibrating mode of the nonlinear vibrator by using Newmark' s numerical method which is used to calculating the shearing force and bending moment of imaginary beam. The examples illustrate that the method is very efficient for calculating the periodic solutions of nonlinear vibrator. |
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| Keywords: | nonlinear vibrator periodic solution analogy iterative method |
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