假设材料常数和电、磁常数沿板厚方向呈梯度变化,将电磁功能梯度材料板沿厚度方向划分为层单元,建立元的控制方程,然后根据单元之间的连续条件将单元控制方程装配成系统的控制方程,求解控制方程,得到不同模态波的弥散曲线,分析了电磁参数对波的弥散特性的影响,同时研究了材料梯度对弹性位移、静电势和静磁势分布的影响,并对磁电功能梯度材料中波的六个特征波面进行了分析.计算结果表明材料梯度引起弹性位移、静电势、静磁势的分布集中于材料参数梯度减少的方向,材料为正交各向异性弹性材料.
参考文献
| [1] | Rado G T,Folen V J.Observation of the magnetically induced magneto-electric effect and evidence for antiferro -magnetic domains[J].Phys Rev Lett,1961,7:310-311. |
| [2] | Folen V J,Rado G T,Stalder E W.Anisotropy of the magnetoelectric effect in Cr2O3[J].Phys Rev Lett,1961,6:609-610. |
| [3] | Chen W Q,Lee K Y.Alternative state space formulations for magnetoelectric thermoelasticity with transverse isotropy and the application to bending analysis of nonhomogeneous plates[J].International Journal of Solids and Structures,2003,40 (21),5689-5705. |
| [4] | Chen W Q,Lee K Y,Ding H J.On free vibration of non-homogeneous transversely isotropic magneto-electroelastic plates[J].Journal of Sound and Vibration,2005,279(1/2):237-251. |
| [5] | 金江,陈仁文,陶宝祺.具有压电材料铺层的自适应层合板的分析[J].复合材料学报,1998,15(1):126-130.Jin Jiang,Chen Renwen,Tao Baoqi.Analysis of adaptive laminate of with piezoelectric material layers[J].Acta Materiae Compositae Sinica,1998,15(1):126-130. |
| [6] | 丁皓江,陈伟球,徐荣桥.压电板壳自由振动的精确分析[J].力学季刊,2001,20(1):1-9.Ding Haojiang,Chen Weiqiu,Xu Rongqiao.Threedimensional exact analyses of free vibrations for piezoelectric plates and shells[J].Chinese Quarterly of Mechanics,2011,20(1):1-9. |
| [7] | 周又和,Qing Jiang.转动压电陶瓷体表面声波的存在性及波速特征关系[J].力学学报,2000,32(6):707-716.Zhou Youhe,Qing Jiang.Existence and characteristics relation of wave speed to surface acoustic waves on a rotating piezoelectric half-body[J].Acta Mechanic Sinica,2000,32(6):707-716. |
| [8] | 张立刚,盖秉政,朱虹,袁林.梯度半空间梯度覆层中的Love波[J].力学学报,2007,39(5):678-684.Zhang Ligang,Gai Bingzheng,Zhu Hong,Yuan Lin.Love waves in a graded half-space with a graded layer[J].Acta Mechanic Sinica,2007,39(5):678-684. |
| [9] | 黄小林,沈惠申.热环境下功能梯度材料板的自由振动和动力响应[J].工程力学,2005,22(3):224-227.Huang Xiaolin,Shen Huishen.Free vibration and dynamic response of functionally graded plates in thermal environments[J].Engineering Mechanic,2005,22(3):224-227. |
| [10] | 刘睫,王子昆,张陵.梯度材料层状结构中的Love波[J].固体力学学报,2004,25(2):165-170.Liu Jie,Wang Zikun,Zhang Ling.Love wave in layered structures with graded materials[J].Acta Mechanic Solida Sinica,2004,25(2):165-170. |
| [11] | 田金梅,邢誉峰,谢文剑.复合材料叠层梁的冲击响应特性[J].振动与冲击,2006,25(4):1-4.Tian Jinmei,Xing Yufeng,Xie Wenjian.impact responses of composite laminated beam[J].Journal of Vibration and Shock,2006,25(4):1-4. |
| [12] | Liu G R,Tani J,Characteristics of wave propagation in functionally gradient piezoelectric material plates and its response analysis:Part 2-Calculation results[J].Transactions of the Japan Society of Mechanical Engineers,1991,541(57):2128-2133. |
| [13] | Liu G R,Dai K Y,Han X,Ohyoshi T.Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates[J].Journal of Sound and Vibration,2003,268:131-147. |
| [14] | Jiang Y L Magnetoelectroelasticmulti-inclusionand inhomogeneity problems and their applications in composite materials[J].International Journal of Engineering Science,2000,38:1993-2011. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%