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1.
INTRODUCTION Since the phenomenon of piezoelectricity in natural crystals was discovered in 1880, it has been applied in many fields, such as smart structure, sensing devices and active control, because of its special properties. Combining electrical behavior with mechanical deformation is the special property which attracted great interest of researchers. Many models have been developed for studying piezoelec- tric effects. Dunn and Wienecke (1996) used Green’s functions for transverse…  相似文献   

2.
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.  相似文献   

3.
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.  相似文献   

4.
与传统的半逆解法不一样,采用弹性力学平面直角坐标系辛体系,运用分离变量法,求出矩形梁非齐次边界条件的解.辛解法能够有效处理各种边界条件,特别是矩形梁受线性分布荷载时,显示该方法的有效性.  相似文献   

5.
CAE has enabled vibrational problems, which were regarded as intractable 20 years ago, to be solvable by students using computational support. The paper describes a problem set to final year undergraduates which concerns the torsional vibrational response of a three degrees of freedom system which is subjected simultaneously to three different arbitrarily varying torques. The solution involves the use of standard library routines for matrix multiplication and eigensolutions, a Runge-Kutta routine to solve a second order differential equation and general competence in writing software.  相似文献   

6.
一般来说,Riemann-Cartan位形空间中的挠率将破坏其辛结构,但存在一类特殊的、本质上具有辛结构的Riemann-Cartan位形空间。通过引入一个恰当的无约束的一阶线性不可积映射,可以将此类特殊的Riemann-Cartan位形空间映射为一个Riemann位形空间,说明此类特殊的Riemann-Cartan位形空间本质上是一个完整约束系统的位形空间。  相似文献   

7.
辛容量是研究辛拓扑和哈密尔顿动力系统的重要的不变量,对辛容量的计算和估计通常是很困难的.本文对多复变函数论和复几何中的一类重要的研究对象——典型域进行了Gromov辛宽度和Hofer—Zehnder辛容量的计算,并对四类典型域做出了较好的上、下界的估计,极大地方便了典型域的进一步研究.  相似文献   

8.
给出了有限域IFq上的2v l维仿射奇异辛空间ASG(2v l,IFq)和2v l次仿射奇异辛群ASP2v l,v(IFq)的概念,然后讨论了ASP2v l,v(IFq)作用在ASG(2v l,IFq)上的可迁性及一些相关的计数定理,最后给出应用仿射奇异辛空问构作结合方案和认证码的例子.  相似文献   

9.
验证了带五次项的非线性Schrdinger方程满足电荷守恒律和能量守恒律,讨论了该方程的Hamilton形式,并构造了它的单辛格式,最后用数值实验验证了该格式具有长时间的数值模拟能力.  相似文献   

10.
本文所讨论的具有波动算子的非线性Schroedinger方程的具有多辛结构,从而把它写成Hamilton正则方程组的形式,导出其多辛守恒律及多辛格式.用隐式中点公式离散多辛方程组得到多辛Preissman积分.它的多辛格式具有离散多辛守恒律。我们用数值实验验证了理论分析的正确性.  相似文献   

11.
通过三次"保对易"辛变换,解决了三维各向异性耦合谐振子哈密顿量的对角化,求出了体系量子化能谱和形式性波函数,并具体讨论了两种特殊情况下相应的非形式性精确波函数.  相似文献   

12.
将一维薛定谔方程利用Legendre变换转化为等价哈密顿正则方程,采取辛格式数值求解莫尔斯势场和谐振子势场下一维薛定谔方程特征值的数值解,并做了数值比较,最后给出了特征值对应的波函数图像.  相似文献   

13.
有限域上奇异辛空间、奇异酉空间和奇异正交空间(特征≠2)中子空间的对偶子空间的类型被确定。  相似文献   

14.
研究一类时滞脉冲非线性扰动系统的周期解,结合应用不动点定理,给出保证系统存在惟一周期解的一组充分条件.  相似文献   

15.
研究一类脉冲非齐次强迫振动的周期解,结合运用压缩映射原理,给出保证系统存在周期解的一组充分条件.  相似文献   

16.
研究一类时滞脉冲非线性扰动系统的周期解,结合应用不动点定理,给出保证系统存在惟一周期解的一组充分条件。  相似文献   

17.
利用辛变换条件得到了一些新的切比雪夫多项式公式、三角恒等式和双曲恒等式.  相似文献   

18.
基于J2ME-J2EE的移动公交车查询系统的设计与实现   总被引:1,自引:0,他引:1  
通过研究基于J2ME-J2EE的移动电子商务平台的特点,提出一套完整的移动查询系统的解决方案,详细分析了移动客户端和服务器端的设计方案,对移动公交车查询系统的架构、J2ME客户端的实现、服务器端的实现、使用JDBC连接数据库进行了分析和设计。  相似文献   

19.
This paper considers the synchronization of solutions for lattices of the coupled non-autonomous Chen system.By using the Lyapunov function,we show that when the second coupled operator is negative definite self-adjoint and its coefficient is suitable large,the Chen coupled lattice system is bounded dissipative(In particular,the solutions for lattices of the coupled autonomous Chen system converge to zero as t →∞).The synchronization between any two solutions of the coupled Chen system can be slaved only by...  相似文献   

20.
For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P's results by taking a suitable entropy-flux pair (Journal of Differential Equations, 1988, 71(1): 93-122). The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions.  相似文献   

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