[1]胡乾善.单自由度非线性强迫振动问题综述[J].东南大学学报(自然科学版),1965,7(1):1-26.[doi:10.3969/j.issn.1001-0505.1965.01.001]
 Hu Chien-shan.Review of Problems on Nonlinear Forced Vibrations of a Single Degree of Freedom[J].Journal of Southeast University (Natural Science Edition),1965,7(1):1-26.[doi:10.3969/j.issn.1001-0505.1965.01.001]
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单自由度非线性强迫振动问题综述()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
7
期数:
1965年第1期
页码:
1-26
栏目:
本刊信息
出版日期:
1965-03-20

文章信息/Info

Title:
Review of Problems on Nonlinear Forced Vibrations of a Single Degree of Freedom
作者:
胡乾善
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Author(s):
Hu Chien-shan
关键词:
振动微分方程 强迫振动方程 周期解 非线性强迫振动 单自由度 对称恢复 恢复力 研究方法 稳定性 揩振
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1965.01.001
摘要:
本文介绍了单自由度非线性强迫振动问题研究的已有成就,也括最近一二十年来的新发展。介绍内容分研究方法与振动特性两方面。文中首先分类列举了过去研究赤的比较重要的各种微分方程。其次介绍了关于非线性强迫振动微分方程各种解的问题。再次介绍研究非线性强迫振动的各种重要的近似方法,以及用这些方法会进行过研究的问题。最后按对称恢复力系统,非对称恢复力系统,分段线性系统以及自激系统,分别介绍了关于非线性振动特性方面的问题,包括主共振、倍频共振与分频共振。在本文中各处也提出了些尚待进一步研究的问题。附有参考文献113种。
Abstract:
The present paper reviews the achievement of researches made on nonlinear forced vibrations of a single degree of freedom,including new advances made in the latest ten or twenty years.The materials reviewed contain both methods of research and characteristics of vibrations.Various important differential equations which had been studied in the past are first reviewed.Nextly,the question of different kinds of solutions of differential equations of the nonlinear forced vibrations is discussed.Then,different important approximate methods for investigating them are reviewed,and problems having been attacked by using these methods are also reported.Lastly,aspects of nonlinear vibration characteristics,including main resonance,multiple-frequency resonancc and demultiple-frequency resonance,are reviewed for systems having symmetrical restoring force,having non-symmetrical restoring force,having piecewise linear character and having self-excited character. Various related problems to be further studied are also pointed out.113 references are given.
更新日期/Last Update: 2013-05-01