[1]戴德成.弹性结构非线性动力学与动力稳定性问题的一个研究方法[J].东南大学学报(自然科学版),1982,12(4):18-32.[doi:10.3969/j.issn.1001-0505.1982.04.003]
 Dai De-cheng.A Method for Studying The Nonlinear Dynamics and Dynamical Stability Problems of Elastic Structures - An Application of Researches of Multifrequency Resonance Problem[J].Journal of Southeast University (Natural Science Edition),1982,12(4):18-32.[doi:10.3969/j.issn.1001-0505.1982.04.003]
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弹性结构非线性动力学与动力稳定性问题的一个研究方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
12
期数:
1982年第4期
页码:
18-32
栏目:
本刊信息
出版日期:
1982-12-20

文章信息/Info

Title:
A Method for Studying The Nonlinear Dynamics and Dynamical Stability Problems of Elastic Structures - An Application of Researches of Multifrequency Resonance Problem
作者:
戴德成
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Author(s):
Dai De-cheng
关键词:
非线性动力学 稳定性问题 弹性结构 研究方法 非线性系统 数字电子计算机 误差分析 非线性力学 有限自由度系统 参数主共振
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1982.04.003
摘要:
随着工程技术发展的要求以及电子计算机使用范围的日益扩大和普及,结构动力学和动力稳定性问题中的非线性课题越来越受到重视[1]。但是在发展以电子计算机为主要手段的数值方法(特别是有限无法)以解决实际问題的同时,有必要开展定性方面问题的研究[2—4]。本文在综述目前弹性结构非线性动力学与动力稳定性问题中某一类课题所使用分析方法的基础上提出使用多个快转相位方法和多频共振性质[15,16]。使用该法可直接对所提问题作渐近近似误差分析和近似定性分析。此外,由于经过该法处理后的系统是自治系统,因此即使使用电子计算机,也可大大减少机器的工作时间。
Abstract:
Nonlinea problems in structure dynamics and dynamical stbility are more and more interesting because of development of science and technology and generalization of use of electronic computers [1]. A lot of numerical methods using electronic computers are developed for solving practical problems wheveas it is necessary to study qualitative characters of problems [2—4]. In this article the modern analytic methods for studying some problems of nonlinear dynamics and dynamical stability are first reviewed, then the method of several rapidly rotating phases is suggested to use [15,16]. After the use of this method, it is able to make the estimations of the ervors of the asympototic approximation and approximate qualitative analysts. Moreover after This "approach", the autonomous and nonautonomous systems are transformed into autonomous systems. If the electronic computers are used, machine time will be decresed.

相似文献/References:

[1]林中达,钱钟韩.关于低循环倍率锅炉的压力稳定性问题[J].东南大学学报(自然科学版),1983,13(2):1.[doi:10.3969/j.issn.1001-0505.1983.02.001]
 Lin Zhong-da Qian Zhog-han.Pressure Stability in a Boiler with Forced Recirculation[J].Journal of Southeast University (Natural Science Edition),1983,13(4):1.[doi:10.3969/j.issn.1001-0505.1983.02.001]
[2]戴德成.二自由度非线性系统的组合共振问题[J].东南大学学报(自然科学版),1982,12(2):29.[doi:10.3969/j.issn.1001-0505.1982.02.003]
 Dai De-cheng.Combination Resonances of Nonlinear System of Two Degrees of Freedom[J].Journal of Southeast University (Natural Science Edition),1982,12(4):29.[doi:10.3969/j.issn.1001-0505.1982.02.003]

更新日期/Last Update: 2013-05-01