[1]胡乾善,汪凤泉.非对称恢复力系统强迫振动的电子模拟计算机研究[J].东南大学学报(自然科学版),1965,7(1):27-34.[doi:10.3969/j.issn.1001-0505.1965.01.002]
　Wang Fèng-Quán Hu Chien-Shan.Studies of Forced Vibrations of a System with Non-symmetrical Restoring Force by Electronic Analog Computers[J].Journal of Southeast University (Natural Science Edition),1965,7(1):27-34.[doi:10.3969/j.issn.1001-0505.1965.01.002]
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非对称恢复力系统强迫振动的电子模拟计算机研究()
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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:
27-34
栏目:
本刊信息
出版日期:
1965-03-20

文章信息/Info

Title:
Studies of Forced Vibrations of a System with Non-symmetrical Restoring Force by Electronic Analog Computers
作者:
胡乾善; 汪凤泉
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Author(s):
Wang Fèng-Quán Hu Chien-Shan
关键词:
强迫振动;  对称恢复;  电子模拟计算机;  渐近法;  主共振;  大阻尼;  模拟机;  分频共振;  力系统;  干扰频率
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1965.01.002
摘要:
关于非对称恢复力系统(?)+n(?)+ω~2_x+εx~2=h cos vt的强迫振动,包括主共振与分频共振,过去会用渐近法进行了理论研究。由于这种方程比较特殊,对于它渐近法的可靠程度值得加以校核;有些振动特性也还有待于进一步探讨。这项工作会在三种不同型号的电子模拟计算机上进行,并得出肯定的结果。对于大阻尼情形,模拟机与渐近法的二次近似给出彼此密切符合的结果。对于小阻尼情形,渐近法的计算结果也基本上与模拟机结果一致。对于小阻尼情形的主共振,用模拟机求出了一个不随干扰频率而变的振幅上限。文中也给出了计算机的基本结构图。
Abstract:
Forced vibrations,including main resonance and demultiple-frequency reso- nance,of the system +n+ω~2x+εx~2=h cos vt with nonsymmetrical restoring force have been studied before by using the asymp- totic method.Owing to the fact that this equation is somewhat peculiar,the reliability of the asymptotic method in studying it should be checked.Some vibration characteristics need also further investigation.This work has been done on three different models of electronic analog computers and definite results are obtained.In the case of large damping,the analog computers and the asympototic rnethod give results in close sgreement.In the case of small damping, the results obtained with the asymptotic method is also agreeing with the results given by analog computers.For the main resonance of the system with small damping,an upper limit of vibration amplitude independent of the disturbing frequeney is found by using analog computers.The fundamental block diagram of the analog computers is also given in the paper.

相似文献/References:

[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.[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.[doi:10.3969/j.issn.1001-0505.1965.01.001]
[2]金宝桢.用形变传播法计算连续梁及刚架的强迫振动[J].东南大学学报(自然科学版),1957,3(1):5.[doi:10.3969/j.issn.1001-0505.1957.01.002]
　[J].Journal of Southeast University (Natural Science Edition),1957,3(1):5.[doi:10.3969/j.issn.1001-0505.1957.01.002]

更新日期/Last Update: 2013-05-01