共查询到20条相似文献,搜索用时 15 毫秒
1.
S. V. Bosakov 《International Applied Mechanics》2008,44(4):413-418
Rektorys’ approach is used in implementing the Ritz method to solve the contact problem for a circular punch on an elastic
foundation of general form
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 4, pp. 65–71, April 2008. 相似文献
2.
The elastoplastic bending of a sandwich bar with a stiff compressible core on an elastic foundation is studied. The kinematics
of the bar, which is asymmetric across the thickness, is described adopting Bernoulli’s hypotheses for the face layers. The
displacements of the core are assumed to vary linearly across the thickness. The foundation is described by the Winkler model.
A system of equilibrium equations for displacements is derived and solved. Numerical results for a metal-polymer sandwich
bar are presented
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 4, pp. 110–120, April 2007. 相似文献
3.
The thermomechanical bending of an elastic sandwich ring plate with light core on an elastic foundation is considered. To
describe the kinematics of the plate that is asymmetric across the thickness, broken-normal hypotheses are accepted. The foundation
reaction is described by Winkler's model. A system of equilibrium equations is derived and solved for displacements. Numerical
results for a sandwich ring plate in a temperature field are presented
Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 94–103, September 2008. 相似文献
4.
The classical problem of a beam on a tensionless Winkler elastic foundation is reconsidered for the derivation of the conditions of complete contact between the beam and the foundation. This is achieved through the application of modern quantifier elimination software included in the computer algebra system Mathematica together with Taylor–Maclaurin series approximations to the deflection of the beam. Four particular beam problems have been considered in detail and the related QFFs (quantifier-free formulae) have been obtained for several values of the order in the series approximations. Additional approximation possibilities have also been investigated with an emphasis put on the use of the Galerkin method based on weighted residuals. The present results seem to constitute one more interesting application of modern quantifier elimination algorithms and the related software (here in Mathematica) to applied and engineering mechanics. 相似文献
5.
Based on the theory of Euler-Bernoulli beam and Winkler assumption for elasticfoundation,a mathematical model is presented.By using Fourier transformation for spacevariable,Laplace transformation for time variable and convolution theorem for theirinverse transformations,a general solution for dynamical problem of infinite beam on anelastic foundation is obtained.Finally,the cases of free vibration,impulsive response andmoving load are also discussed. 相似文献
6.
The elastostatic problem for cracked shallow spherical shell resting on linear elastic foundation is considered. The problem is formulated for a homogeneous isotropic material within the confines of a linearized shallow shell theory. By making use of integral transforms and asymptotic analysis, the problem is reduced to the solution of a pair of singular integral equations. The stress distribution obtained, around the crack tip, is similar to that of the elasticity solutions. The numerical results obtained agree well with those of previous work, where the elastic supports were neglected. The influences of the shell curvature and the modulus of subgrade reaction on the stress intensity factor are given. 相似文献
7.
A method of orthogonal polynomials is proposed to solve the contact problem for a rectangular die on an elastic foundation. For the case of an elastic half-space, an exact formula is derived for the translation of the die under symmetric loading 相似文献
8.
Nikolay Banichuk Alexander Barsuk Svetlana Ivanova Evgeni Makeev Pekka Neittaanmäki 《基于设计的结构力学与机械力学》2018,46(5):615-633
We consider an infinite continuous elastic beam that interacts with linearly elastic foundation and is under compression. The problem of the beam buckling is formulated and analyzed. Then the optimization of beam against buckling is investigated. As a design variable (control function) we take the parameters of cross-section distribution of the beam from the set of periodic functions and transform the original problem of optimization of infinite beam to the corresponding problem defined at the finite interval. All investigations are on the whole founded on the analytical variational approaches and the optimal solutions are studied as a function of problems parameters. 相似文献
9.
变参数层状地基动力柔度系数的近似计算方法 总被引:1,自引:0,他引:1
介绍一个求解参数层状地基动力柔度系数的近似求解方法,这一方法的基本思想是将变参数层状地基等效的为均匀层状地基,这样便可应用目前已经获得的各种解析解的研究成果,使问题简化。 相似文献
10.
B. Michalak 《Archive of Applied Mechanics (Ingenieur Archiv)》2000,70(7):508-518
Summary The aim of this contribution is to formulate an engineering theory describing the effect of periodic structure of the elastic
foundation on the dynamic behaviour of a plate with geometrical periodical imperfections, Fig. 1. It is shown that the obtained
solutions depend on the structure length parameter l of the elastic foundation and the wave length of imperfections. The general results are illustrated by an example and compared
with the known theories of orthotropic plates.
Received 7 February 1999; accepted for publication 6 October 1999 相似文献
11.
I. M. Arkhipova V. Yu. Chirkov 《Journal of Applied Mechanics and Technical Physics》2008,49(6):1055-1062
The problem of slow dynamic contact interaction of a system of punches remote from each other with an elastic half-space surface
in the absence of friction is studied under the assumptions that the diameters of the contact areas are smaller than the minimum
distance between the punches and the time required for the shear wave to travel the distance equal to the punch diameter is
comparable to the time scale of the process. A first-order asymptotic model is constructed. As an example, the case of steady-state
vibrations of a system of two punches is considered.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 6, pp. 198–206, November–December, 2008. 相似文献
12.
V. D. Kubenko Yu. M. Pleskachevskii É. I. Starovoitov D. V. Leonenko 《International Applied Mechanics》2006,42(5):541-547
The natural vibration of an elastic sandwich beam on an elastic foundation is studied. Bernoulli’s hypotheses are used to
describe the kinematics of the face layers. The core layer is assumed to be stiff and compressible. The foundation reaction
is described by Winkler’s model. The system of equilibrium equations is derived, and its exact solution for displacements
is found. Numerical results are presented for a sandwich beam on an elastic foundation of low, medium, or high stiffness
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 57–63, May 2006. 相似文献
13.
采用积分变换和Muki的方法求解了层状地基中单桩的扭转振动问题.在分析过程中,首先对基本控制方程进行Hankel变换,建立了单层地基的初参数解答和刚度矩阵,得到层状地基的递推矩阵;然后利用递推矩阵、边界条件和桩-土变形协调条件建立了层状地基中单桩扭转振动问题的基本积分方程并进行数值求解.文末数值算例给出了退化的层状地基中刚性单桩的扭转变形,其结果与已有经典解答吻合良好.同时,并研究了两层地基中单桩的扭转动力响应,分析了桩-土参数对动力响应的影响,所得结论对工程实践和桩基扭转波检测有一定的指导意义. 相似文献
14.
In this paper, a new method is presented based on [1]. It can be used to solve the arbitrary nonlinear system of differential equations with variable coefficients. By this method, the general solution for large deformation of nonhomogeneous circular plates resting on an elastic foundation is derived. The convergence of the solution is proved. Finally, it is only necessary to solve a set of nonlinear algebraic equations with three unknowns. The solution obtained by the present method has large convergence range and the computation is simpler and more rapid than other numerical methods.Numerical examples given at the end of this paper indicate that satisfactory results of stress resullants and displacements can be obtained by the present method. The correctness of the theory in this paper is, confirmed. 相似文献
15.
This paper is mainly concerned with the dynamic response of an elastic foun- dation of finite height bounded to the surface of a saturated half-space.The foundation is subjected to time-harmonic vertical loadings.First,the transform solutions for the governing equations of the saturated media are obtained.Then,based on the assumption that the contact between the foundation and the half-space is fully relaxed and the half- space is completely pervious or impervious,this dynamic mixed boundary-value problem can lead to dual integral equations,which can be further reduced to the Fredholm integral equations of the second kind and solved by numerical procedures.In the numerical exam- ples,the dynamic compliances,displacements and pore pressure are developed for a wide range of frequencies and material/geometrical properties of the saturated soil-foundation system.In most of the cases,the dynamic behavior of an elastic foundation resting on the saturated media significantly differs from that of a rigid disc on the saturated half-space. The solutions obtained can be used to study a variety of wave propagation problems and dynamic soil-structure interactions. 相似文献
16.
17.
On the basis of von Kárman equations,the axisymmetric buckling and post-bucklingof annular plates on anelastic foundation is(?)tematically discussed byusing shootingmethods. 相似文献
18.
Non-axisymmetrical vibration of elastic circular plate on layered transversely isotropic saturated ground 总被引:1,自引:0,他引:1
黄小岗 《应用数学和力学(英文版)》2007,28(10):1383-1396
The non-axisymmetrical vibration of elastic circular plate resting on a layered transversely isotropic saturated ground was studied.First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soils were transformed into a group of governing differential equations with 1-order by the technique of Fourier ex- panding with respect to azimuth,and the state equation is established by Hankel integral transform method,furthermore the transfer matrixes within layered media are derived based on the solutions of the state equation.Secondly,by the transfer matrixes,the general solutions of dynamic response for layered transversely isotropic saturated ground excited by an arbitrary harmonic force were established under the boundary conditions, drainage conditions on the surface of.ground as well as the contact conditions.Thirdly, the problem was led to a pair of dual integral equations describing the mixed boundary- value problem which can be reduced to the Fredholm integral equations of the second kind solved by numerical procedure easily.At the end of this paper,a numerical result concerning vertical and radical displacements both the surface of saturated ground and plate is evaluated. 相似文献
19.
Summary A study of the postbuckling and imperfection sensitivity of fixed-end and free-end struts on a Winkler elastic foundation
is carried out. The configuration and stability of the postbuckling paths bifurcating from the critical points are analysed.
For the most part of foundation stiffness, the corresponding postbuckling paths are shown to be falling with respect to load
and be unstable. This indicates that, for almost all values of foundation stiffness, the buckling loads of the struts will
be sensitive to imperfections. We also obtain imperfection sensitivity of the struts with respect to geometric imperfections
having the shape of buckling modes.
Received 30 October 1998, accepted for publication 30 March 1999 相似文献
20.
The dynamic behavior of reinforced shells of revolution in an elastic medium is modeled. Pasternak’s model is used. A problem
of vibration of discretely reinforced shells of revolution is formulated and a numerical algorithm is developed to solve it.
Results from an analysis of the dynamic behavior of a reinforced spherical shell on an elastic foundation are presented as
an example
Translated from Prikladnaya Mekhanika, Vol. 45, No. 2, pp. 99–106, February 2009. 相似文献