具有粘性阻尼边界的有限杆的支承运动

IF 1.5 4区工程技术 Q3 MECHANICS

Journal of Mechanics Pub Date : 2022-01-01 DOI:10.1093/jom/ufac035

Jeng-Tzong Chen, Hao-Chen Kao, Jia-Wei Lee, Ying-Te Lee

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引用次数: 0

摘要

本文将以往的经验推广到具有粘滞阻尼边界和另一侧支承运动的有限杆的振动问题。采用模态叠加法结合准静态分解法和基于特征法的金刚石规则法两种解析方法，推导出两种解析解。一种是用模态叠加法求级数解。另一种是用菱形法则求精确解。采用金刚石法则的方法直接求解了带有外阻尼器的非保守系统，避免了复值本征系统。协议达成得很好。讨论了两种方法的优缺点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Support motion of a finite bar with a viscously damped boundary

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.

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来源期刊

Journal of Mechanics 物理-力学

CiteScore

3.20

自引率

11.80%

发文量

审稿时长

6 months

期刊介绍： The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.