| 结构阻尼与材料阻尼的关系 |
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| 引用本文： | 梁超锋,欧进萍.结构阻尼与材料阻尼的关系[J].地震工程与工程振动,2006,26(1):49-55. |
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| 作者姓名： | 梁超锋 欧进萍 |
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| 作者单位： | 哈尔滨工业大学,深圳研究生院,广东,深圳,518055 |
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| 基金项目： | 国家自然科学基金项目(50238040) |
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| 摘 要： | 针对固体材料在弹性阶段的内阻尼,采用材料粘弹性本构关系,通过有限单元法建立了考虑剪切变形影响的杆单元阻尼矩阵,得到了材料拉压粘滞系数和剪切粘滞系数之间的关系。我们可以通过实验测试材料的损耗因子或粘滞阻尼系数(材料阻尼),像结构质量矩阵、刚度矩阵一样通过比较确切的计算得到弹性阶段结构内阻尼的阻尼矩阵(结构阻尼),而且此阻尼矩阵既基于材料阻尼实验测试,又便于数学处理,且物理意义明确。其次,本文分析了材料阻尼对结构阻尼比影响,得到了材料损耗因子与结构模态阻尼比间的关系,并通过10层钢筋混凝土剪切型框架结构进一步给出了具体的数值结果。
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| 关 键 词： | 材料阻尼 损耗因子 粘滞系数 有限单元法 结构或构件阻尼矩阵 |
| 文章编号： | 1000-1301（2006）01-0049-07 |
| 收稿时间： | 2005-12-06 |
| 修稿时间： | 2005-12-062005-12-26 |
Relationship between structural damping and material damping |
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| Liang Chaofeng,Ou Jinping.Relationship between structural damping and material damping[J].Earthquake Engineering and Engineering Vibration,2006,26(1):49-55. |
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| Authors: | Liang Chaofeng Ou Jinping |
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| Institution: | Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China |
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| Abstract: | The paper mainly studies the linear inner-damping relationship of solid material and structures.First of all,based on the constitution relationship of viscoelastic material and finite element methods,the damping matrixes of structural elements considering the effect of shear deformation are deduced and also the relation between the viscous coefficient and shear viscous coefficient is discovered.Therefore,through the measurement for loss tangent or the viscous coefficient of material,the damping matrix of structures can be established accurately and also conveniently similar to the mass and stiffness matrixes of structures with clear physical meaning.And,the influence of material damping on structural damping is analyzed and the relationship of the loss tangent of material and the damping ratios of structural modes is obtained.The numerical results for the relationship of the loss tangent of material and the damping ratios of structural modes are given for a shear-type reinforced concrete frame with ten stories. |
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| Keywords: | material damping loss tangent viscous coefficient finite element method damping matrix of structural members of structures |
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