泡沫波纹复合夹心梁等效弹性常数的推导及其振动特性研究

吴建均; 王永静; 谢敬尧; 李晓露; 倪娜; 张陵

doi:10.7652/xjtuxb201811011

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泡沫波纹复合夹心梁等效弹性常数的推导及其振动特性研究

更新时间：2025-07-09

- 泡沫波纹复合夹心梁等效弹性常数的推导及其振动特性研究
- Derivation of Equivalent Elastic Constant and Vibration Analysis of Foam-Corrugated Composite Sandwich Beam
- 西安交通大学学报 2018年52卷第11期页码：73-80
- 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：
- DOI：10.7652/xjtuxb201811011
  中图分类号： TB301
- 网络首发：2018-11-10，
  
  纸质出版：2018
- 稿件说明：
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吴建均, 王永静, 谢敬尧, 等. 泡沫波纹复合夹心梁等效弹性常数的推导及其振动特性研究[J]. 西安交通大学学报, 2018,52(11):73-80.

Derivation of Equivalent Elastic Constant and Vibration Analysis of Foam-Corrugated Composite Sandwich Beam[J]. 2018, 52(11): 73-80.
吴建均, 王永静, 谢敬尧, 等. 泡沫波纹复合夹心梁等效弹性常数的推导及其振动特性研究[J]. 西安交通大学学报, 2018,52(11):73-80. DOI： 10.7652/xjtuxb201811011.

Derivation of Equivalent Elastic Constant and Vibration Analysis of Foam-Corrugated Composite Sandwich Beam[J]. 2018, 52(11): 73-80. DOI： 10.7652/xjtuxb201811011.

摘要

基于材料力学中材料的连续性、小变形等基本假设

在符合变形协调方程的条件下

设结构由面板承受弯扭

泡沫芯体承受剪切

推导出了泡沫波纹复合夹心梁芯体的等效弹性常数

并且建立了有限元二维等效模型和三维实体模型; 通过对泡沫波纹复合夹心梁的模态进行实验研究和数值计算

对比分析了实验数据和计算结果

从而验证了所推导的等效弹性常数的正确性。此外

进一步研究了泡沫波纹复合夹心梁的几何参数对其固有振动特性的影响

结果表明:随着面板厚度增加

结构的固有频率升高; 随着波纹肋板厚度、泡沫芯体密度或胞元数的增加

结构的固有频率降低。

Abstract

Under the basic assumptions of material continuity and small elastic deformation and obeying deformation coordination

sandwich panel being subjected to bending and torsion

and foam core subjected to shearing

the equivalent elastic constants of the foam-corrugated composite sandwich structure are derived and the corresponding two-dimensional finite element equivalent model and three-dimensional solid model are established. A comparison between the modal experiment of foam-corrugated composite sandwich beam and finite element calculation indicates the correctness of the deduced equivalent elastic constants. The influence of several key geometrical parameters of the foam-corrugated composite sandwich structure on the natural vibration performance is further discussed. It is found that with the increasing panel thickness

the natural frequency heightens; with the increasing thickness of corrugated ribs

foam core density or number of cell

the natural frequency lowers.

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Keywords

references

卢天健, 何德坪, 陈常青, 等. 超轻多孔金属材料的多功能特性及应用 [J]. 力学进展, 2006(4): 517-535.

LU Tianjian, HE Deping, CHEN Changqing, et al. Multifunctional properties and applications of ultra-light porous metal materials [J]. Advances in Mechanics, 2006(4): 517-535.

VAZIRI A, XUE Z, HUTCHINSON J W. Metal sandwich plates with polymer foam-filled cores [J]. Journal of Mechanics of Materials and Structures, 2006, 1(1): 97-127.

RUSSELL B P, MALCOM A, WADLEY H N G, et al. Dynamic compressive response of composite corrugated cores [J]. Journal of Mechanics of Materials and Structures, 2010, 5(3): 477-493.

LIBOVE C, HUBKA R E. Elastic constants for corrugated-core sandwich plates [R]∥Technical Report Archive Image Library. Hampton, VA, USA: NASA, 1951.

VINSON J R. Sandwich structures [J]. Applied Mechanics Review, 2001, 54(3): 201-214.

HOHE J, BECKER W. Effective stress-strain relations for two-dimensional cellular sandwich cores: homogenization, material models, and properties [J]. Applied Mechanics Reviews, 2002, 55(1): 61-87.

CHENG Q H, LEE H P, LU C. A numerical analysis approach for evaluating elastic constants of sandwich structures with various cores [J]. Composite Structures, 2006, 74(2): 226-236.

XIA Y, FRISWELL M I, FLORES E I S. Equivalent models of corrugated panels [J]. International Journal of Solids and Structures, 2012, 49(13): 1453-1462.

王红霞, 王德禹, 李喆. 三角形夹芯板夹心层的等效弹性常数 [J]. 固体力学学报, 2007, 28(2): 178-182.

WANG Hongxia, WANG Deyu, LI Zhe. Equivalent elastic constants of sandwich layer sandwiched by triangular sandwich plates [J]. Chinese Journal of Solid Mechanics, 2007, 28(2): 178-182.

娄佳, 马力, 吴林志. 复合材料四面体点阵夹芯梁的自由振动分析 [J]. 固体力学学报, 2011, 32(4): 339-345.

LOU Jia, MA Li, WU Linzhi. Free vibration analysis of composite tetrahedron lattice sandwich beams [J]. Chinese Journal of Solid Mechanics, 2011, 32(4): 339 -345.

金晖. 矩形填充多孔材料夹层结构的力学性能等效模型研究 [D]. 南京: 南京航空航天大学, 2009: 21-38.

李斌潮, 张钱城, 卢天健. 基于实验模态分析的点阵夹层结构动态性能预测 [J]. 固体力学学报, 2008, 29(4): 373-378.

LI Binchao, ZHANG Qiancheng, LU Tianjian. Prediction of dynamic performance of lattice sandwich structure based on experimental modal analysis [J]. Chinese Journal of Solid Mechanics, 2008, 29(4): 373 -378.

刘均, 程远胜. 考虑芯层离散特性的方形蜂窝夹层板自由振动分析 [J]. 固体力学学报, 2009, 30(1): 90-94.

LIU Jun, CHENG Yuansheng. Free vibration analysis of square honeycomb sandwich plate considering the discrete properties of the core [J]. Chinese Journal of Solid Mechanics, 2009, 30(1): 90-94.

王青伟, 赵才其. 三角形桁架夹芯层等效弹性常数研究和夹芯板参数优化设计 [J]. 特种结构, 2010, 27(5): 61-66.

WANG Qingwei, ZHAO Caiqi. Study on equivalent elastic constant of sandwich layer of triangle truss and parameter optimization design of sandwich panel [J]. Special Structure, 2010, 27(5): 61-66.

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