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1.
V. G. Boborykin 《International Applied Mechanics》2006,42(5):582-588
The bending problem for an arbitrarily outlined thin plane with mixed boundary conditions is solved. A technique based on
the methods of potentials and balancing loads is proposed for constructing Green’s function for the Germain-Lagrange equation.
This technique ensures high accuracy of approximate solutions, which is checked against Levi’s solution for rectangular plates
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 104–112, May 2006. 相似文献
2.
Liu Shutian Cheng Gengdong Gu Yuanxian Zhang Jinhai Yan Song 《Acta Mechanica Solida Sinica》1998,11(2):172-179
Owing to the existence of distributed holes, it is difficult to solve the bending problem of perforated plates by the conventional
finite element method. A homogenization-based method for this problem is presented in this paper. As an example, the bending
analysis of a circular perforated plate with distributed step-wise cylindrical holes is made. The deflection and the fundamental
frequency obtained by present method are in good agreement with experimental data, this implies that the method is effective.
This project is supported by the National Natural Science Foundation (19602007) and National Outstanding Youth Foundation
(19525206). 相似文献
3.
Equivalent Boundary Integral Equations with indirect unknowns for thin elastic plate bending theory 总被引:4,自引:0,他引:4
Zhang Yao-ming Associate Professor Doctor Sun Huan-chun Yang Jia-xin 《应用数学和力学(英文版)》2000,21(11):1246-1255
Equivalent Boundary Integral Equations (EBIE) with indirect unknowns for thin elastic plate bending theory, which is equivalent
to the original boundary value problem, is established rigorously by mathematical technique of non-analytic continuation and
is fully proved by means of the variational principle. The previous three kinds of boundary integral equations with indirect
unknowns are discussed thoroughly and it is shown that all previous results are not EBIE.
Paper from SUN Huan-chun, Member of Editorial Commitee, AMM
Biography: ZHANG Yao-ming (1962-) 相似文献
4.
V. M. Mirsalimov 《Journal of Applied Mechanics and Technical Physics》2009,50(4):712-719
A plane problem of fracture mechanics for a circular disk fitted onto a rotating shaft is considered. The disk is assumed
to be fitted tightly onto the shaft, and there are N randomly located straight-line cracks of length 2lk (k = 1, 2, ..., N) near the inner surface of the disk. The interference between the disk and the rotating shaft, providing minimization
of fracture parameters (stress intensity factor) of the disk, is theoretically studied on the basis of the minimax criterion.
A closed system of algebraic equations is constructed, which allows the problem of optimal design to be solved. A simplified
method of minimization of disk fracture parameters is considered.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 4, pp. 201–209, July–August, 2009. 相似文献
5.
基于经典的复合材料层板理论,将有限大复合材料层板等效成各向异性弹性平板。采用复变函数理论中的Faber级数分析方法,使用最小二乘边界配点法,对含多椭圆刚性核有限大各向异性板弯曲问题进行应力分析,得到了该问题的级数解形式,分析了含椭圆刚性核层板在弯曲载荷下的应力分布,并讨论了形状和结构参数对应力分布的影响。结果表明,本文方法对于分析含多个椭圆形刚性核有限大薄板弯曲应力问题非常有效,该方法具有精度高及计算方便等优点。 相似文献
6.
弹性薄板弯曲问题的等价的直接变量边界积分方程 总被引:1,自引:0,他引:1
建立平面弹性薄板弯曲问题理论中具有直接变量的等价边界积分方程,传统的直接变量边界积分方程,它们都不是等价的,对此进行了深入的讨论。 相似文献
7.
A rectangular cell of known boundary conditions is cut out from a medium containing the doubly periodic array of inclusions. The stress and strain relationship of the rectangular cell is obtained by using the classical boundary element methods. By matching the boundary condition requirements, the effective elastic properties of the doubly periodic array of inclusions can then be calculated. Numerical examples from the sub-domain boundary element method and the single domain boundary element method are compared and discussed. However, the present method cannot be readily extended to domains having circular or curved boundary parts. 相似文献
8.
各向异性矩形薄板弯曲问题的一般解 总被引:3,自引:0,他引:3
给出了各向异性矩形薄板弯曲问题微分方程的一般解。可以求解任意载荷作用下各种边界的弯曲问题。以四边固支的正方形板为例进行了数值计算。 相似文献
9.
A general approach based on complex variable theory is proposed to determine the magnetoelastic state of a body with an infinite
row of elliptic inclusions under the action of magnetic and elastic fields. Numerical solutions to a two-dimensional problem
for a body made of Terfenol-D magnetostrictive material and piezomagnetic ceramic material and having circular, elliptic,
and rectilinear inclusions made of a different material are presented depending on the geometry of the inclusions, their material
characteristics, the spacing between them, and the type of applied load
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 9, pp. 32–40, September 2006. 相似文献
10.
Summary A solution to the thin plate bending problem of partially bonded dissimilar strips with two bond lines is presented. The two strips are symmetrically bonded with respect to the interface which is on theX-axis. The complex stress functions approach together with the rational mapping function technique are used in the analysis. A concentrated bending moment applied at each strip is considered. Distributions of bending and torsional moments, as well as the stress intensity of debonding (SID) at the debonding tips are obtained, and the debonding extension is investigated. 相似文献
11.
Someengineeringproblemscanbeexpressedbysuchasystemoflinearnon_homogeneousdifferentialequationsasL1[u1(q)]=F1(q),L2[u2(q)]=F2(q)+f2[u1(q)],…Ln[un(q)]=Fn(q)+fn[u1(q),u2(q),…,un-1(q)],(1)andtheirinitialandboundaryconditions,whereqisthesetofallargumentsw… 相似文献
12.
The dynamic theory of linear piezoelectricity is applied to analyze the scattering of time harmonic flexural waves by a through crack in a symmetric piezoelectric laminated plate subjected to electric field loading. An incident wave giving rise to moments symmetric about the crack plane is considered. Piezoelectric layers are added to the upper and lower surfaces. Classical lamination theory is extended to include dynamic piezoelectric effects. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations, the solution of which is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor vs. frequency is computed and the influence of the electric field on the normalized values is displayed graphically. 相似文献
13.
I. Yu. Tsvelodub 《Journal of Applied Mechanics and Technical Physics》2007,48(5):708-711
An elastic plate with a physically nonlinear inclusion of an arbitrary shape is considered. This plate is subjected to pure
bending under the action of transverse forces and bending moments applied at the external boundary of the plate. There are
no loads distributed over the surface. The problem of finding external actions that provide a necessary uniform moment state
in the inclusion, i.e., prescribed constant moments and curvatures, is formulated and solved.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 5, pp. 104–107, September–October, 2007. 相似文献
14.
基于一种板的修正变分泛函,将杂交边界点法与双互易法结合,用于薄板弯曲问题的分析。该方法将问题的解分为齐次方程的通解和非齐次的特解两部分,特解采用径向基函数插值得到,而通解则使用杂交边界点法求解。在杂交边界点法用于求解通解的列式过程中,边界变量采用移动最小二乘近似,域内变量则采用基本解插值。与有限元法相比,该方法仅需要边界上离散点的信息,无论插值还是积分都不需要网格,域内点仅用来插值非齐次项,因而仍是一种纯边界类型的无网格方法。数值算例表明,本文方法能以很少的计算自由度获得与其它方法同样的计算精度,且具有前后处理简单、收敛速度快等优点,适合于求解工程中各种薄板的弯曲问题。 相似文献
15.
This work was performed in the University of Delaware Center for Composite Materials under the auspices of the University/Industry Research Program Application of Composite Materials to Industrial Products. The author(s) acknowledge the support of the University of Delaware/Rutgers University National Engineering Research Center for Composites Manufacturing Science and Engineering. The Center is a National Science Foundation cross-disciplinary research program. 相似文献
16.
Hu Haichang 《Acta Mechanica Sinica》1992,8(2):127-135
A boundary integral representation of plane biharmonic function is established rigorously by the method of unanalytical continuation
in the present paper. In this representation there are two boundary functions and four constants which bear a one to one correspondence
to biharmonic functions. Therefore the set of boundary integral equations with indirect unknowns based on this representation
is equivalent to the original differential equation formulation. 相似文献
17.
Yu. A. Bogan 《Journal of Applied Mechanics and Technical Physics》2005,46(3):395-404
Two systems of Fredholm equations of the second kind are constructed for the solution of the second boundary-value problem
of the bending of an anisotropic plate (a normal bending moment and a generalized shear force are specified on the boundary
of the simply-connected domain) under the assumption of validity of the Kirchhoff-Love hypotheses. Correct equilibrium conditions
are specified for the examined boundary-value problem.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 3, pp. 108–119, May–June, 2005. 相似文献
18.
A method is proposed for studying the stress state of a viscoelastic multiply connected isotropic plate with aligned elastic
inclusions. The viscoelastic state of a plate with a finite or infinite number of circular and linear inclusions is analyzed
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 2, pp. 88–98, February 2007.
For the centenary of the birth of G. N. Savin. 相似文献
19.
Based on a two-field generalized variational principle, a new type of arbitrary quadrilateral plate bending element, with
four nodes and with the effect of transverse shear deformation taken into account, is proposed. The element is applicable
to a wide range of plate thickness and an explicit expression of stiffness matrix can be obtained. Therefore, it possesses
the distinguished features of general applicability, high precision and less computer time. 相似文献
20.
本文用边界元法研究非均质无限域弹性薄板弯曲问题.在数值实施过程中,对于夹杂和基体分别形成边界积分方程.通过离散边界积分方程,得到相应的方程组,然后结合界面条件,最终获得问题的求解方程组.在界面的相关量求得之后,可以根据需要来求解基体和夹杂中的有关位置的弯矩.数值结果与已有的解做了对比. 相似文献