Approximate analytical solutions and experimental analysis for transient response of constrained damping cantilever beam

被引：4

作者：

Hu, Ming-yong ^{[1
]}

Wang, An-wen ^{[1
]}

Zhang, Xiang-ming ^{[1
]}

机构：

[1] Naval Univ Engn, Coll Sci, Wuhan 430033, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 11期

基金：

中国国家自然科学基金;

关键词：

constrained damping; cantilever beam; transient response; Lagrange's equation; mode superposition;

D O I：

10.1007/s10483-010-1368-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Vibration mode of the constrained damping cantilever is built up according to the mode superposition of the elastic cantilever beam. The control equation of the constrained damping cantilever beam is then derived using Lagrange's equation. Dynamic response of the constrained damping cantilever beam is obtained according to the principle of virtual work, when the concentrated force is suddenly unloaded. Frequencies and transient response of a series of constrained damping cantilever beams are calculated and tested. Influence of parameters of the damping layer on the response time is analyzed. Analyitcal and experimental approaches are used for verification. The results show that the method is reliable.

引用

页码：1359 / 1370

页数：12

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