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21.
本文研究了含非完整界面的功能梯度压电复合材料的Ⅲ型裂纹问题.此裂纹垂直于非完整界面,采用弹簧型力电耦合界面模型模拟非完整界面.界面两侧材料的性质,如弹性模量、压电常数和介电常数均假定呈指数函数形式且沿着裂纹方向变化.运用积分变换法将裂纹面条件转换为奇异积分方程,并使用Gauss-Chebyshev方法对其进行数值求解.根据算例结果讨论了一些退化问题并分析了裂纹尖端强度因子与材料的非均匀系数和非完整界面参数的关系. 相似文献
22.
To reveal some dynamic properties of the deploying process for the solar power satellite via an arbitrarily large phased array (SPS-ALPHA) solar receiver, the symplectic Runge-Kuttamethod is used to simulate the simplified model with the consideration of the Rayleigh damping effect. The system containing the Rayleigh damping can be separated and transformed into the equivalent nondamping system formally to insure the application condition of the symplectic Runge-Kutta method©First, the Lagrange equation with the Rayleigh damping governing the motion of the system is derived via the variational principle. Then, with some reasonable assumptions on the relations among the damping, mass, and stiffness matrices, the Rayleigh damping system is equivalently converted into the nondamping system formally, so that the symplectic Runge-Kutta method can be used to simulate the deploying process for the solar receiver. Finally, some numerical results of the symplectic Runge-Kutta method for the dynamic properties of the solar receiver are reported. The numerical results show that the proposed simplified model is valid for the deploying process for the SPS-ALPHA solar receiver, and the symplectic Runge-Kutta method can preserve the displacement constraints of the system well with excellent long-time numerical stability. 相似文献
23.
In this note, we prove that the uni-modular mono-components from Blaschke products in the unit disc are eigenvectors of the Sturm-Liouville operators and investigate a kind of wave equations with some initial conditions, which give rise to mono-components. 相似文献
24.
The neural network has been introduced into the reconstruction of the complex object based on fringe projection. In this method, the neural network with powerful property of approximation is used to get the continuous approximate function of a discrete fringe pattern captured by an image frame grabber. The depth-related phase of the measured object modulated into the fringe pattern can be demodulated by dealing with the approximate function. Compared with the Fourier transform profilometry (FTP), in the network method, one deformed fringe pattern is needed to reconstruct the tested object, and a high spatial resolution is maintained for no filtering process. Therefore, this method performs better than FTP in the measurement of the complex object. Moreover, the network method is capable of demodulating more depth-related phase even in the case that the local shadow exists in the fringe pattern. Computer simulations and experiments validate the feasibility of this method. 相似文献
25.
针对浅海环境中利用单深度接收信号自相关函数的Warping变换方法测距时易出现的多值性问题, 提出一种双深度Warping变换融合测距方法。该方法将双深度测量场的Warping变换提取结果与具有深度差异的拷贝场本征函数信息融合, 判别简正波干涉项模态, 提高测距的准确度。此外, 针对实际海洋环境中测量场Warping变换特征峰位置难以准确提取的问题, 将Warping变换的频率不变性与图像形态学方法结合以增强特征频率结构, 提高后续测距的稳健性。海试数据处理结果显示, 测距结果与实际距离符合较好, 表明所提方法具有实际可行性。
相似文献26.
等高线图分析技术在GC/FTIR联用数据处理中的应用 总被引:1,自引:0,他引:1
钟山 《光谱学与光谱分析》1995,15(6):41-44,50
在三种高聚物的裂解大口径毛细管气相色谱-傅里叶变换红外光谱联用分析(PyWBCGC/FTIR)数据获得的基础上,介绍应用等高线图(CTD)分析技术处理色谱重叠峰,并在该分析提供的信息指导下进行红外光谱累加及差减技术,获得了重叠峰中各纯物质较好信噪比的气相红外谱图并予以定性,显著了等高线图分析技术在联用数据中的优点,充分发挥了GC/FTIR联用特有的光谱分离离度优势。 相似文献
27.
Thái Hoàng Lê 《Journal of Number Theory》2010,130(8):1705-1717
Intersective polynomials are polynomials in Z[x] having roots every modulus. For example, P1(n)=n2 and P2(n)=n2−1 are intersective polynomials, but P3(n)=n2+1 is not. The purpose of this note is to deduce, using results of Green and Tao (2006) [8] and Lucier (2006) [16], that for any intersective polynomial h, inside any subset of positive relative density of the primes, we can find distinct primes p1,p2 such that p1−p2=h(n) for some integer n. Such a conclusion also holds in the Chen primes (where by a Chen prime we mean a prime number p such that p+2 is the product of at most 2 primes). 相似文献
28.
Djurdje Cvijovi? 《Applied mathematics and computation》2010,215(11):4040-740
In a recent paper Dattoli and Srivastava [3], by resorting to umbral calculus, conjectured several generating functions involving harmonic numbers. In this sequel to their work our aim is to rigorously demonstrate the truth of the Dattoli-Srivastava conjectures by making use of simple analytical arguments. In addition, one of these conjectures is stated and proved in more general form. 相似文献
29.
Walter Schempp 《Acta Appl Math》1997,48(2):185-234
Due to its unequalled advantages, the magnetic resonance imaging (MRI) modality has truly revolutionized the diagnosis and evaluation of pathology. Because many morphological anatomic details that may not be visualized by other high tech imaging methods can now be readily shown by diagnostic MRI, it has already become the standard modality by which all other clinical imaging techniques are measured. The unique quantum physical basis of the MRI modality combined with the imaging capabilities of current computer technology has made this imaging modality a target of interdisciplinary interest for clinicians, physicists, biologists, engineers, and mathematicians. Due to the fact that MRI scanners perform corticomorphic processing, this modality is by far more complex than all the other high tech clinical imaging techniques. The purpose of this paper is to outline a phase coherent wavelet approach to Fourier transform MRI. It is based on distributional harmonic analysis on the Heisenberg nilpotent Lie group G and the associated symplectically invariant symbol calculus of pseudodifferential operators. The contour and contrast resolution of MRI scans which is controlled by symplectic filter bank processing gives the noninvasive MRI modality superiority over X-ray computed tomography (CT) in soft tissue differentiation. 相似文献
30.