Self-Excited Vibrations and Damping in Circulatory Systems
Self-Excited Vibrations and Damping in Circulatory Systems
复制标题
循环系统中的自激振动和阻尼
DOI：
10.1115/1.4028240
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Wagner
中科院分区：
文献类型：
--
作者：
P. Hagedorn;Manuel Eckstein;E. Heffel;A. Wagner
机械工程系统中的自激振动通常是不需要的，有时甚至是危险的。有许多系统表现出自激振动，直到今天还不能完全避免，例如制动尖叫，架空输电线路的驰振，直升机的地面共振等。这些系统的共同点是，在线性化的运动方程中，自激项由非保守循环力给出。众所周知，这种系统对阻尼非常敏感。最近，一些作者证明了阻尼对稳定性和自激振动影响的几个新定理。本文讨论了这些新的数学结果，为实际的机械工程系统。事实证明，阻尼矩阵的结构是至关重要的，和常见的假设，即，代表阻尼矩阵的质量和刚度矩阵的线性组合，可能会给不稳定性和自激振动的发病问题的完全误导的结果。作者提出了改进线性化问题中阻尼矩阵描述的一些建议，以加强自激振动的建模。改进后的模型应该会导致更好地理解这些不必要的现象，也可能是为了避免设计。[DOI电话：10.1115/1.4028240]
Self-excited vibrations in mechanical engineering systems are in general unwanted and sometimes dangerous. There are many systems exhibiting self-excited vibrations which up to this day cannot be completely avoided, such as brake squeal, the galloping vibrations of overhead transmission lines, the ground resonance in helicopters and others. These systems have in common that in the linearized equations of motion the selfexcitation terms are given by nonconservative, circulatory forces. It has been well known for some time, that such systems are very sensitive to damping. Recently, several new theorems concerning the effect of damping on the stability and on the self-excited vibrations were proved by some of the authors. The present paper discusses these new mathematical results for practical mechanical engineering systems. It turns out that the structure of the damping matrix is of utmost importance, and the common assumption, namely, representing the damping matrix as a linear combination of the mass and the stiffness matrices, may give completely misleading results for the problem of instability and the onset of self-excited vibrations. The authors give some indications on improving the description of the damping matrix in the linearized problems, in order to enhance the modeling of the self-excited vibrations. The improved models should lead to a better understanding of these unwanted phenomena and possibly also to designs oriented toward their avoidance. [DOI: 10.1115/1.4028240]
DOI：
10.1002/zamm.200900315
发表时间：
2009-06
期刊：
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
影响因子：
--
作者：
Oleg N. Kirillov;F. Verhulst
通讯作者：
Oleg N. Kirillov;F. Verhulst
耗散引起的不稳定性和对称性
影响因子：
3.5
作者：
Kirillov O.N;Verhulst F.
通讯作者：
Verhulst F.