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作品数:10 被引量:39H指数:4
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10 条 记 录,以下是 1-10
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MODELING OF MULTILAYERED ACOUSTIC WAVE DEVICES WITH THE METHOD OF REVERBERATION-RAY MATRIX
<正>The method of reverberation-ray matrix(MRRM) are modified and extended to the analysis of wave propagation ...
Yong-qiang GUO Key Laboratory of Mechanics on Disaster and Environment in Western China,Ministry of Education, and School of Civil Engineering and Mechanics,Lanzhou University,Lanzhou 730000,China Wei-qiu CHEN Key Laboratory of Soft Soils and Geoenvironmental Engineering,Ministry of Education, and Department of Civil Engineering,Zhejiang University,Hangzhou 310027,China
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功能梯度材料平面问题的辛弹性力学解法被引量:10
2009年
将辛弹性力学解法推广用于功能梯度材料平面问题的分析,考虑沿长度方向弹性模量为指数函数变化而泊松比为常数的矩形域平面弹性问题,给出了具体的求解步骤.提出了移位Hamilton矩阵的新概念,建立起相应的辛共轭正交关系;导出了对应特殊本征值的本征解,发现材料的非均匀特性使特殊本征解的形式发生明显的变化.
陈伟球赵莉
关键词:功能梯度材料
Science Letters:On numerical calculation in symplectic approach for elasticity problems被引量:1
2008年
The symplectic approach proposed and developed by Zhong et al. in 1990s for elasticity problems is a rational analytical method, in which ample experience is not needed as in the conventional semi-inverse method. In the symplectic space, elasticity problems can be solved using the method of separation of variables along with the eigenfunction expansion technique, as in traditional Fourier analysis. The eigensolutions include those corresponding to zero and nonzero eigenvalues. The latter group can be further divided into α-and β-sets. This paper reformulates the form of β-set eigensolutions to achieve the stability of numerical calculation, which is very important to obtain accurate results within the symplectic frame. An example is finally given and numerical results are compared and discussed.
Li ZHAOWei-qiu CHEN
关键词:EIGENFUNCTION
Recursive formulations for the method of reverberation-ray matrix and the application被引量:3
2009年
A recursive formulation is proposed for the method of reverberation-ray matrix (MRRM) to exactly analyze the free vibration of a multi-span continuous rectangular Kirchhoff plate, which has two oppo- site simply-supported edges. In contrast to the traditional MRRM, numerical stability is achieved by using the present new formulation for high-order frequencies or/and for plates with large span-to-width ratios. The heavy computational cost of storage and memory are also cut down. An improved recursive formulation is further proposed by modifying the iterative formula to reduce the matrix inversion op- erations. Numerical examples are finally given to demonstrate the effectiveness and efficiency of the proposed recursive formulae.
ZHU JunCHEN WeiQiuYE GuiRuLü ChaoFeng
关键词:RECURSIVEFORMULATIONKIRCHHOFFPLATE
ON FREE WAVE PROPAGATION IN ANISOTROPIC LAYERED MEDIA被引量:5
2008年
The method of reverberation-ray matrix (MRRM) is extended and modified for the analysis of free wave propagation in anisotropic layered elastic media. A general, numerically stable formulation is established within the state space framework. The compatibility of physical variables in local dual coordinates gives the phase relation, from which exponentially growing functions are excluded. The interface and boundary conditions lead to the scattering relation, which avoids matrix inversion operation. Numerical examples are given to show the high accuracy of the present MRRM.
Yongqiang Guo Weiqiu Chen
Guided wave propagation in multilayered piezoelectric structures被引量:4
2009年
A general formulation of the method of the reverberation-ray matrix (MRRM) based on the state space formalism and plane wave expansion technique is presented for the analysis of guided waves in multilayered piezoelectric structures. Each layer of the structure is made of an arbitrarily anisotropic piezoelectric material. Since the state equation of each layer is derived from the three-dimensional theory of linear piezoelectricity, all wave modes are included in the formulation. Within the framework of the MRRM, the phase relation is properly established by excluding exponentially growing functions, while the scattering relation is also appropriately set up by avoiding matrix inversion operation. Consequently, the present MRRM is unconditionally numerically stable and free from computational limitations to the total number of layers, the thickness of individual layers, and the frequency range. Numerical examples are given to illustrate the good performance of the proposed formulation for the analysis of the dispersion characteristic of waves in layered piezoelectric structures.
GUO YongQiang1, CHEN WeiQiu2,3 & ZHANG YongLiang4 1 Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education, and School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China
关键词:MULTILAYEREDPIEZOELECTRICGUIDEDWAVES
Three-dimensional analytical solution for a transversely isotropic functionally graded piezoelectric circular plate subject to a uniform electric potential difference被引量:13
2008年
This paper studies the problem of a functionally graded piezoelectric circular plate subjected to a uniform electric potential difference between the upper and lower surfaces. By assuming the generalized displacements in appropriate forms,five differential equations governing the generalized displacement functions are derived from the equilibrium equations. These displacement functions are then obtained in an explicit form,which still involve four undetermined integral constants,through a step-by-step integration which properly incorporates the boundary conditions at the upper and lower surfaces. The boundary conditions at the cylindrical surface are then used to determine the integral constants. Hence,three-dimen sional analytical solutions for electrically loaded functionally graded piezoelectric circular plates with free or simply-supported edge are completely determined. These solutions can account for an arbitrary material variation along the thickness,and thus can be readily degenerated into those for a homogenous plate. A numerical example is finally given to show the validity of the analysis,and the effect of material inhomogeneity on the elastic and electric fields is discussed.
LI XiangYuDING HaoJiangCHEN WeiQiu
关键词:MATERIALPIEZOELECTRICMATERIALUNIFORM
REVERBERATION-RAY ANALYSIS OF ORTHOTROPIC PIEZOELECTRIC LAMINATES WITH IMPERFECT INTERFACES
<正>The static and dynamic problems of an imperfectly bonded,orthotropic,piezoelectric laminate in cylindrical ...
Yun-ying ZHOU,Wei-qiu CHEN School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310027,China Chao-feng L Department of Civil Engineering,Zijingang Campus,Zhejiang University,Hangzhou 310058,China
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FREE AXISYMMETRIC VIBRATIONS OF FGM CIRCULAR PLATES
<正>This work presents an approach named direct displacement method to investigate the free axisymmetric vibrat...
Yun WANG School of Mechanical Engineering,Hangzhou Dianzi University,Hangzhou,Zhejiang 310018,China Rong-qiao XU,Hao-jiang Ding Department of Civil Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China
关键词:FGM
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层合压电结构中的导波被引量:1
2009年
基于状态空间列式和平面波展开技术,提出求解层合压电结构中导波传播的回传射线矩阵法一般列式.假定各层介质都是任意各向异性压电材料,从三维线性压电理论出发推导其状态方程,可考虑所有的波动模态.按照回传射线矩阵法的基本原理,分别由对偶坐标系中物理量的相容条件建立相位关系,由上下表面的边界条件和中间界面的耦合条件建立散射关系.由于相位关系中不包含大指数项,散射关系中又避免了矩阵求逆,因而该文提出的回传射线矩阵法列式是无条件数值稳定的,对所求解的层合结构的层数、单层厚度和计算频率没有任何限制.通过数值算例验证了该文方法计算层合压电结构弥散特性的有效性.
郭永强陈伟球张永亮
关键词:回传射线矩阵法导波弥散特性
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