| 关于阻尼线性振动系统的广义特征问题的讨论 |
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| 引用本文： | 于澜.关于阻尼线性振动系统的广义特征问题的讨论[J].长春工程学院学报(自然科学版),2007,8(3):83-85. |
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| 作者姓名： | 于澜 |
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| 作者单位： | 长春工程学院,理学院,长春,130012 |
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| 摘 要： | 通过引入矩阵函数变换,将阻尼自由振动系统转化为不含有阻尼项的新系统,分析了新系统的广义特征问题及其振型的求解,提高了在阻尼自由振动系统使用振型叠加法的效率,为计算阻尼自由振动系统的响应提供了一种方法。
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| 关 键 词： | 广义特征问题 振型叠加法 矩阵函数变换 模态 |
Discussion on generalized eigen value problem of the damped linear vibration system |
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| YU Lan.Discussion on generalized eigen value problem of the damped linear vibration system[J].Journal of Changchun Institute of Technology(Natural Science Edition),2007,8(3):83-85. |
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| Authors: | YU Lan |
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| Abstract: | By introducing a matrix function transforma- tion,the damped linear vibration system is converted to a new system which does not possess damping term. Then it is discussed the generalized eigenproblem and mode of the system that is noted above.It is just a dif- ficulty,which can be avoided by the current method in this paper,for the available property of modal superpo- sition.Finally it presents a efficient idea for the solu- tion of response of the damped linear vibration system. |
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| Keywords: | generalized eigenproblem modal superpo sition matrix function transformation mode |
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