| 粘弹性自由层阻尼悬臂梁的有限元模型 |
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| 引用本文： | 郭亚娟,李惠清,孟光,李鸿光.粘弹性自由层阻尼悬臂梁的有限元模型[J].上海交通大学学报,2007,41(9):1538-1541,1550. |
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| 作者姓名： | 郭亚娟 李惠清 孟光 李鸿光 |
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| 作者单位： | 上海交通大学,机械系统与振动国家重点实验室,上海,200240;上海交通大学,机械系统与振动国家重点实验室,上海,200240;上海交通大学,机械系统与振动国家重点实验室,上海,200240;上海交通大学,机械系统与振动国家重点实验室,上海,200240 |
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| 摘 要： | 根据非弹性位移场(ADF)模型的本构方程和控制方程,推导了自由层阻尼梁单元的有限元方程.通过对一类常用的粘弹性沥青阻尼片的试验参数拟合,采用Lanczos方法,计算了自由层阻尼悬臂梁的固有频率和模态阻尼比,并和试验结果进行了对比.结果表明,ADF模型可以准确地描述粘弹性材料的本构关系,并能直接在时域内与有限元方法相融合,可方便地对复合结构进行动力分析.
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| 关 键 词： | 粘弹性材料 自由层阻尼 有限元 本构方程 |
| 文章编号： | 1006-2467（2007）09-1538-04 |
| 修稿时间： | 2006-09-07 |
A Finite Element Model for a Cantilever Beam with Viscoelastic Free-Layer Damping |
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| GUO Ya-juan,LI Hui-qing,MENG Guang,LI Hong-guang.A Finite Element Model for a Cantilever Beam with Viscoelastic Free-Layer Damping[J].Journal of Shanghai Jiaotong University,2007,41(9):1538-1541,1550. |
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| Authors: | GUO Ya-juan LI Hui-qing MENG Guang LI Hong-guang |
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| Institution: | State Key Lab. of Mechanical System and Vibration, Shanghai Jiaotong Univ. , Shanghai 200240, China |
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| Abstract: | According to the constitutive equations and governing differential equations of anelastic displacement fields(ADF) model,a finite element equation of free-layer damping(FLD) cantilever beam was studied.Lanczos algorithm was applied to calculate modal frequencies and damping ratios of the FLD cantilever beam,with the parameters' fitting results of a type of asphalt materials.Through comparing the results with the experimental ones,some good conclusions can be drawn.The ADF method can be used to implement the viscoelastic material model exactly,enabling the straightforward development of time-domain finite elements.With these features,ADF model can be used in dynamic analysis of compound structure conveniently. |
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| Keywords: | viscoelastic materials free-layer damping(FLD) finite element constitutive equations |
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