'Geometric' Viscous Damping Model for Nearly Constant Beam Modal Damping
'Geometric' Viscous Damping Model for Nearly Constant Beam Modal Damping
复制标题
用于近乎恒定梁模态阻尼的“几何”粘性阻尼模型
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Jeffrey L. Kauffman
中科院分区：
文献类型：
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作者：
G. Lesieutre;Jeffrey L. Kauffman
本文研究了弯曲结构的阻尼横向振动。迄今为止可用的粘性阻尼模型，如比例阻尼，遭受的缺陷，所得到的模态阻尼是强烈的频率依赖性，这是一种情况下，不代表与组合结构的实验。焦点模型解决了粘性几何阻尼项，其中内部抵抗剪切力与斜率的时间变化率成比例。分离变量并不直接导致偏微分方程的解决方案，虽然自由振动的边界值特征值问题仍然可以提出和解决。对于小阻尼的加权残值法提供了一种替代方法的近似模态运动方程的发展和估计模态阻尼。在一个离散有限元的背景下，得到的阻尼矩阵类似的几何刚度矩阵用于占膜的影响…
This paper considers the damped transverse vibration of flexural structures. Viscous damping models available to date, such as proportional damping, suffer from the deficiency that the resulting modal damping is strongly frequency dependent, which is a situation not representative of experiments with built-up structures. The focus model addresses a viscous geometric damping term in which an internal resisting shear force is proportional to the time rate of change of the slope. Separation of variables does not lead directly to a solution of the governing partial-differential equation, although a boundary-value eigenvalue problem for free vibration can nevertheless be posed and solved. For small damping the method of weighted residuals provides an alternate approach to the development of approximate modal equations of motion and estimation of modal damping. In a discretized finite-element context the resulting damping matrix resembles the geometric stiffness matrix used to account for the effects of membran...