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1.
Based on the mathematical model of the bending of the incompressible saturated poroelastic beam with axialdiffusion, the quasi-static bendings of the simply supported poroelastic beam subjected to a suddenly applied constant loadwere investigated, and the analytical solutions were obtained for different diffusion conditions of the pore fluid at the beamends. The deflections, the bending moments of the solid skeleton and the equivalent couples of the pore pressures werepresented in figures. It is also shown that the behavior of the saturated poroelastic beams depends closely on the diffusionconditions at the beam ends, especially for the equivalent couples of the pore pressures. It is found that the Mandel-Cryereffect also exists in the bending of the saturated poroelastic beams under specific diffusion conditions at the beam ends.  相似文献   

2.
Nonlinear bending of cantilever incompressible poroelastic beams subjected to a uniform load is investigated with the constraint that fluid flow is only in the axial direction. The governing equations for large deflection of the poroelastic beam are derived from theory of incompressible saturated porous media. Then, nonlinear responses of a cantilever beam with impermeable fixed end and permeable free end are examined with the Galerkin truncation method. The deflections and bending moments of the poroelastie beam and the equivalent couples of the pore fluid pressures are shown in figures. The differences of the results between the large deflection and the small deflection theories are analyzed. It is shown that the results of the large deflection theory are smaller than those of the small deflection theory, and the time needed to approach their stationary states for the large deflection theory is shorter than that for the small deflection theory.  相似文献   

3.
Screening of plane S waves by an array of rigid piles in poroelastic soil   总被引:2,自引:0,他引:2  
An array of rigid piles used as a screening barrier for plane shear (S) waves is investigated in a homogeneous unbounded space. The dynamic poroelastic theory of Biot is employed, under the assumption of an incompressible solid grain. Using Fourier-Bessel series, the problem of multiple scattering is solved by imposing continuity conditions and equilibrium conditions at the soil-pile interfaces with the translational addition theorem. A parametric analysis is conducted to investigate the influence of the permeability of poroelastic soil, separation between piles, number of piles and frequency of incident waves on screening effectiveness of the barrier, and the results are compared with those in an elastic soil medium. Computed results show that the intrinsic permeability of the soil medium displays an apparent effect on the screening of plane S waves.  相似文献   

4.
以四川雅泸高速公路干海子特大桥为工程背景,采用Midas Civil有限元软件建立三跨一联钢管混凝土格构式高墩连续弯梁桥结构。进行E1弹性地震响应分析,探讨了该类新型梁桥结构的动力特性、内力分布规律,以及地震波激励角度参数对全桥各个指标的影响规律,研究结果表明:钢管混凝土格构式高墩连续弯梁桥结构刚度较柔、周期长,不可忽视弯扭耦合效应。上部主梁弯矩值控制截面位于固定支座位置处,扭矩峰值出现在梁端位置处;下部格构墩弯矩和轴力控制截面均出现在固底墩墩底,墩顶为桥墩位移控制截面。支座中心连线和与之垂直的方向均为最不利激励角度。  相似文献   

5.
This paper investigated the static and fatigue behaviors of steel and composite multi-leaf spring using the ANSYS V12 software. The dimensions of an existing conventional leaf spring of a light commercial vehicle were used. The same dimensions were used to design composite multi-leaf spring for the two materials, E-glass fiber/epoxy and E-glass fiber/vinyl ester, which are of great interest to the transportation industry. Main consideration was given to the effects of material composition and its fiber orientation on the static and fatigue behaviors of leaf spring. The design constraints were bending stresses, deflection and fatigue life. Compared to the steel leaf spring, the designed composite spring has much lower bending stresses and deflections and higher fatigue life cycles.  相似文献   

6.
基于欧拉-伯努利梁理论,设计了一种新型的微型同位素辐射能收集器二维机电模型。该模型解决了一维机电模型无法涵盖的诸多问题。算例分析表明:本模型能较准确地描述实验过程和预测实验结果。通过对结果进行分析,得出了影响微悬臂梁的位移、梁的往返周期和梁中存储能量的一系列因素。  相似文献   

7.
对结构参数具有随机性的梁结构受到弯曲振动时的动力特性进行了分析讨论,提出了研究梁弯曲时其结构参数的随机性对其动力特性的影响的一种新方法,从概率分析的观点出发推导出了随机参数梁弯曲振动时的动力特性数字特征的表达式,从而表明了随机参数梁结构在弯曲振动时动力特性随机性的影响因素.  相似文献   

8.
对碳纤维薄板增强混凝土三点弯曲缺口梁为研究对象,采用有限元方法分析了不同粘贴长度的碳纤维薄板对混凝土的切口尖端应力场及界面处的应力场的影响。结果表明,合适的粘贴长度将使切口尖端的应力集中降低,试件的极限承载力得到提高,过长的贴板对应力控制作用不明显,在混凝土底部出现新的宏观裂缝导致试件破坏。  相似文献   

9.
Based on convolution-type constitutive equations for linear viscoelastic materials with damage and the hypotheses of Timoshenko beams with large deflections, the nonlinear equations governing dynamical behavior of Timoshenko beams with damage on viscoelastic foundation were firstly derived. By using the Galerkin method in spatial domain, the nonlinear integro-partial differential equations were transformed into a set of integro-ordinary differential equations. The numerical methods in nonlinear dynamical systems, such as the phase-trajectory diagram, Poincare section and bifurcation figure, were used to solve the simplified systems of equations. It could be seen that simplified dynamical systems possess the plenty of nonlinear dynamical properties. The influence of load and material parameters on the dynamic behavior of nonlinear system were investigated in detail.  相似文献   

10.
Based on convolution-type constitutive equations for linear viscoelastic materials with damage and the hypotheses of Timoshenko beams with large deflections, the nonlinear equations governing dynamical behavior of Timoshenko beams with damage on viscoelastic foundation were firstly derived. By using the Galerkin method in spatial domain, the nonlinear integro-partial differential equations were transformed into a set of integro-ordinary differential equations. The numerical methods in nonlinear dynamical systems, such as the phase-trajectory diagram, Poincare section and bifurcation figure, were used to solve the simplified systems of equations. It could be seen that simplified dynamical systems possess the plenty of nonlinear dynamical properties. The influence of load and material parameters on the dynamic behavior of nonlinear system were investigated in detail.  相似文献   

11.
建立静定梁在各种载荷作用下及任意支承条件下的支点反力、截面剪力、截面弯矩的电算数学模型,并用BASIC语言编制程序绘制梁的剪力图、弯矩图,以便确定梁的危险截面位置及内力数值。  相似文献   

12.
In this paper, a nonlinear mathematical model for analyzing dynamical response to the large deformation of piles with initial displacements is firstly established with the arc-coordinate, and it is a set of nonlinear integral-differential equations, in which, the Winkeler model is used to simulate the resistance of the soil to the pile. Secondly, a set of new auxiliary functions are introduced. The differential-integral equations are transformed into a set of nonlinear differential equations,and the differential quadrature method (DQM) and the finite difference method (FDM) are applied to discretize the set of nonlinear equations in the spatial and time domains, respectively. Then, the Newton-Raphson method is used to solve the set of discretization algebraic equations at each time step. Finally, numerical examples are presented, and the dynamical responses to the deformation of piles, including configuration, bending moment and shear force, are graphically illuminated. In calculation, two types of initial displacements and dynamical loads are applied, and the effects of parameters on the dynamical responses of piles are analyzed in detail.  相似文献   

13.
某混合梁斜拉桥钢混接合段整体有限元分析研究   总被引:1,自引:0,他引:1  
在大跨度的桥梁中,单一的混凝土梁或者钢梁都会在边跨墩顶产生负反力,并会引起塔顶和主跨产生过大的偏移位移及挠度。为了充分发挥混凝土材料的压重作用和钢材跨越能力大的优势,便产生了混合梁结构,混合梁即在中孔大跨全部或部分采用钢主梁,两侧采用预应力混凝土主梁。主要采用有限元分析的方法对某混合斜拉桥钢混接合段的受力特性进行分析,真实反映其结构的复杂应力分布情况,并提出改进和完善的钢混接合构造措施。  相似文献   

14.
从损伤的粘弹性材料的卷积型本构关系出发,建立了在小变形下损伤粘弹性梁-柱的控制方程,提出了以卷积形式表示的损伤粘弹性梁-柱弯曲问题的泛函,并给出了损伤粘弹性梁-柱的广义变分原理.应用这个广义变分原理,可分别给出梁-柱位移和损伤满足的基本方程,以及相应的初始条件和边界条件.  相似文献   

15.
提出了计算阶梯形变截面梁弯曲变形的一种新方法.算例表明,本文方法和结果对静定和超静定梁均适用,并且计算简捷,便于应用.  相似文献   

16.
研究了一类梁方程奇异边值问题一个正解或多个正解的存在性,利用锥上的不动点定理和新的技巧给出了C^2[0,1]和C^3[0,1]正解存在的充分条件.其中,非线性项f(t,x,y)可以在x=0,y=0,t=0和t=1处奇异.  相似文献   

17.
Based on the Leaderman constitutive relations in nonlinear viscoelasticity and the linear geometrical assumption, a mathematical model for the bending of nonlinear viscoelastic beams was established in this paper. The Laplace transformation method and the Titchmarsh theorem were used to prove that some relations exist between solutions to bending problems of visco- and elastic beams, which reveals the fugue effect of viscoelastic materials. The high-order Galerkin approximate solution to the quasi-static response of nonlinear viscoelastic beams under a step load was obtained by using the new method suggested in this paper as well as the Mathematica software and the Newton iteration technique.  相似文献   

18.
The formulas for calculating bending-resistant capacity of a steel plate-reinforced concrete composite beam are derived. To validate the formulas, experiments of the composite beam under three-point bending are carried out. Calculated results based on the formulas are in good agreement with experimental results.  相似文献   

19.
介绍了钢管混凝土柱-环梁中节点(环梁节点)在静载和低周反复荷载作用下的设计方法,其可靠性得到试验数据的证实。结果显示,在地震区推广应用钢管混凝土柱-钢筋混凝土环梁节点的结构体系具有较强的可行性。  相似文献   

20.
This paper first gives the general solution of two-dimensional orthotropic media expressed with two harmonic displacement functions by using the governing equations. Then, based on the general solution in the case of distinct eigenvalues, a series of beam problems, including the problem of cantilever beam under uniform loads, cantilever beam with axial load and bending moment at the free end, cantilever beam under the first, second, third and fourth power ofx tangential loads, is solved by the superposition principle and the trial-and-error methods.  相似文献   

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