正交异性薄板的振动能量传递特性

何理; 陈天宁; 陈琛

doi:10.7652/xjtuxb201903008

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正交异性薄板的振动能量传递特性

更新时间：2025-07-09

- 正交异性薄板的振动能量传递特性
- Transmission Analysis of Vibrational Energy in Orthotropic Thin Plates
- 西安交通大学学报 2019年53卷第3期页码：50-55
- 作者机构：
  
  西安交通大学机械结构强度与振动国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2018-04-08。作者简介: 何理(1993—),男,硕士生;陈天宁(通信作者),男,教授,博士生导师。基金项目: 武器装备预研资助项目(9140A10040209JW08)
- DOI：10.7652/xjtuxb201903008
  中图分类号： O327
- 网络首发：2019-03-10，
  
  纸质出版：2019
- 稿件说明：
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何理, 陈天宁, 陈琛. 正交异性薄板的振动能量传递特性[J]. 西安交通大学学报, 2019,53(3):50-55.

Transmission Analysis of Vibrational Energy in Orthotropic Thin Plates[J]. 2019, 53(3): 50-55.
何理, 陈天宁, 陈琛. 正交异性薄板的振动能量传递特性[J]. 西安交通大学学报, 2019,53(3):50-55. DOI： 10.7652/xjtuxb201903008.

Transmission Analysis of Vibrational Energy in Orthotropic Thin Plates[J]. 2019, 53(3): 50-55. DOI： 10.7652/xjtuxb201903008.

摘要

为了解决正交异性薄板的中高频振动问题

引入结构声强概念研究其振动能量传递特性。首先

对正交异性薄板能量密度控制方程进行有限元离散处理

推导出能量有限元方程

并且通过数值算例将其与经典模态法对比

计算结果验证了方程的正确性; 然后

求解能量有限元方程得到结构声强场

同时以流线可视化方式更直观地呈现结构振动能量传递特性; 最后

应用该方法分析了不同局部阻尼分布位置对正交异性薄板的振动能量传递特性的影响。分析结果表明:正交异性材料属性使振动能量优先沿着弯曲刚度较小方向流动; 值得注意的是

局部阻尼分布在很大程度上决定了振动能量分布以及流向

研究对工程振动特性分析以及阻尼位置优化有一定的指导意义。

Abstract

To solve the problem of medium-high frequency vibration of orthotropic thin plates

an analytical method for the transmission of vibrational energy based on structural intensity(SI)was proposed. First

the energy density control equation of the orthotropic thin plate was discretized using finite element method. Then the energy finite element equation was derived. To verify the validity of the equation

numerical analyses were performed and compared with classical modal solutions. Further

the structural intensity field was obtained by solving the energy finite element equation. Besides

the transmission of vibrational energy was presented visually by SI streamline visualization. Moreover

the influence of different local damping distributions on the vibrational energy transmission in orthotropic thin plates was analyzed. The results of analysis show that the properties of orthotropic materials gave priority to vibrational energy flow in the direction

where the bending stiffness was lower. In summary

the local damping distribution plays an important part in the distribution of vibrational energy and flow direction. This study is instructive to analyze the vibration characteristics of engineering and to optimize the damping position.

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Keywords

references

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