Support motion of a finite bar with a viscously damped boundary

被引：1

作者：

Chen, Jeng-Tzong ^{[1
,2
,3
,4
,5
]}

Kao, Hao-Chen ^{[1
]}

Lee, Jia-Wei ^{[6
]}

Lee, Ying-Te ^{[1
]}

机构：

[1] Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung, Taiwan

[2] Natl Taiwan Ocean Univ, Dept Mech & Mechatron Engn, Keelung, Taiwan

[3] Natl Taiwan Univ, Dept Civil Engn, Taipei, Taiwan

[4] Natl Cheng Kung Univ, Dept Civil Engn, Tainan, Taiwan

[5] Natl Taiwan Ocean Univ, Ctr Excellence Ocean Engn, Keelung, Taiwan

[6] Tamkang Univ, Dept Civil Engn, New Taipei, Taiwan

来源：

JOURNAL OF MECHANICS | 2022年 / 38卷

关键词：

support motion; viscous damper; mode superposition method; quasi-static decomposition; diamond rule; FOURIER-SERIES SOLUTION; FREE-VIBRATION; BEAM;

D O I：

10.1093/jom/ufac035

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we extended the previous experience to solve the vibration problem of a finite bar with a viscously damped boundary and the support motion on the other side. Two analytical methods, the mode superposition method in conjunction with the quasi-static decomposition method and the method of diamond rule based on the method of characteristics, were employed to derive two analytical solutions. One is a series solution by using the mode superposition method. The other is an exact solution by using the method of diamond rule. The non-conservative system with an external damper is solved straightforward by using the method of diamond rule to avoid the complex-valued eigen system. Agreement is made well. Both advantages and disadvantages of two methods were discussed.

引用

页码：473 / 490

页数：18

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