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51.
Boundary properties of first-order partial derivatives of the Poisson integral are studied in the half-space
. 相似文献
52.
本文建立多圆荷载作用下弹性半空间体上薄板的挠度与应力的计算式。荷载数量及分布任意,每个圆荷载密度与轮迹半径彼此相异。对计算式中的反常积分及级数的收敛性予以证明。对含振荡函数反常积分建议一种方便的算法。 相似文献
53.
A simple analytical model for computing ground motion in a layered half-space due to a buried seismic source is presented in this paper. The buried earthquake source is represented as a distribution of double couples varying in time as a ramp function on the fault plane. The analysis is simplified by first decoupling the governing equations into P-SV and SH problem by a coordinate transformation in the frequency-wave number domain. These two problems are solved separately and the final solution is obtained by the sum of solutions of these individual problems. Explicit expressions for ground motion in a layered half-space due to an impulsive double couple are derived. In the sequel, Green’s function for the displacement field in an infinite medium is also presented. The developed source mechanism model is also demonstrated by simulating ground motion for the Kucth earthquake (Mw = 7.7) of 26th January 2001. 相似文献
54.
This paper exactly analyzes the problem of a rigid sphere indenting a transversely isotropic piezoelectric half-space. The
potential theory method is employed and generalized to include the piezoelectric effect. By using the previous results of
elasticity, an exact solution is derived. It is found that all the elastoelectric variables can be expressed in terms of elementary
functions.
The work was partly supported by the National Natural Science Foundation of China (No. 19872060). 相似文献
55.
I. I. Argatov 《International Applied Mechanics》2006,42(1):67-83
Consideration is given to the contact without friction among an arbitrary number of elliptic punches or punches in the form
of an elliptic paraboloid and an elastic half-space with Young's modulus as a power-law function of the distance from the
edge. Asymptotic models of contact interaction are designed assuming that the distance between punches is large compared with
their dimensions
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 1, pp. 78–96, January 2006. 相似文献
56.
An approach is proposed to set up the dispersion equations for surface waves propagating through a periodically laminated piezoelectric medium, with the upper layer being a perfect compressible fluid. The approach is based on the formalism of Hamiltonian periodic systems. The dispersion equations derived are valid for an arbitrary law of variation in properties with periodicity coordinate. The influence of the liquid layer and inhomogeneity of the piezoelectric medium on the dispersion spectra of surface waves is studied__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 3, pp. 55–61, March 2005. 相似文献
57.
An analytic solution is found for the problem on the behavior of a collisional plasma in a variable external electric field.
We elucidate the structure of the screened electric field and investigate the case where the frequency of the external field
is close to the plasma oscillation frequency (resonance). We show that there are two near-surface layers where the behavior
of the screened field differs essentially.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 3, pp. 487–502, June, 2006. 相似文献
58.
Jean-Claude Mass 《Journal of multivariate analysis》2002,81(2):286
The asymptotic distribution of the Tukey median has recently been obtained by Nolan in a bivariate setting and by Bai and He in the general multivariate case. To establish their theorem, these authors made a strong symmetry hypothesis on the distribution and, in the case of Bai and He, assumed the existence of a density function with a gradient satisfying a finite-moment condition. This paper extends the above result by deriving the asymptotic distribution of the above location estimate without making any symmetry or differentiability assumption on the distribution. 相似文献
59.
Kyesook Nam 《Journal of Mathematical Analysis and Applications》2011,381(2):914-921
Let B be the open unit ball in Rn. Liu (2007) [6] has shown that if then the iterates of a Berezin-type transform of f converge to the Poisson extension of the boundary values of f, as k→∞. In this paper, we extend this to the half-space setting. First, we obtain the mean value property for harmonic functions on the half-space H. Based on this property, we define a Berezin-type transform BH and investigate the limit of the iterates of BH. 相似文献
60.
选用更具广泛性的横观各向同性弹性半空间地基模型,来分析四边自由各向异性矩形地基板的弯曲解析解.将异性薄板的弯曲控制方程,与基于横观各向同性弹性半空间地基位移解建立的板与地基变形协调方程相结合,先按对称性分解,然后用三角级数法,得出横观各向同性弹性半空间地基上四边自由各向异性矩形薄板的弯曲解析解,包括地基反力、板的挠度及内力的解析表达式.该解析解克服了数值法的弊端,取消了对地基反力的假设,板的内力及地基反力求解更切实际.算例结果与文献结果吻合良好,证明本文方法的可行性. 相似文献