| 非线性振动系统的主共振的增量谐波平衡法 |
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| 引用本文： | 熊铁华,常晓林. 非线性振动系统的主共振的增量谐波平衡法[J]. 武汉大学学报(工学版), 2002, 35(2): 80-82 |
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| 作者姓名： | 熊铁华 常晓林 |
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| 作者单位： | 1. 武汉大学土木建筑工程学院,湖北,武汉,430072
2. 武汉大学水利水电学院,湖北,武汉,430072 |
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| 摘 要： | 利用增量谐波平衡法来研究单自由度非线性振动系统的主共振 .用傅里叶级数展开与时间有关的量 ,然后应用增量谐波平衡法 ,得到一个非线性的代数方程组 ,并建立了适合于计算机运算的数值模型 ,算例表明此方法是有效的
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| 关 键 词： | 非线性振动 主共振 谐波平衡法 |
| 文章编号： | 1006-155X(2002)02-080-03 |
| 修稿时间： | 2001-07-02 |
Study on primary resonance of nonlinear vibration by increment harmonic balance technique |
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| XIONG Tie_hua+,CHANG Xiao_lin+. Study on primary resonance of nonlinear vibration by increment harmonic balance technique[J]. Engineering Journal of Wuhan University, 2002, 35(2): 80-82 |
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| Authors: | XIONG Tie_hua+ CHANG Xiao_lin+ |
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| Affiliation: | XIONG Tie_hua+1,CHANG Xiao_lin+2 |
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| Abstract: | A method based on the increment harmonic balance technique to determine the primary resonance of nonlinear vibration of single freedom system is studied. The time discretization is achieved by Fourier series expansion of displacements. After applying the harmonic balance technique, a set of nonlinear algebraic equations of Fourier coefficients is obtained. Numerical examples demonstrate the method is effective. |
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| Keywords: | nonlinear vibration primary resonancy method of harmonic balance |
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