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岩体原位流变荷载试验的力学参数与模型反演 总被引:4,自引:0,他引:4
根据现场岩体原位测试的60m和70m处两试验点的流变变形曲线,首先通过曲线特征筛选出了能够描述其变形特性的流变模型(三参量固体模型,Burgers模型),基于粘弹性分析理论及两步反分析法思路,建立了荷载试验的三参量固体模型、Burgers模型的位移优化反演格式,利用分级加载所获得的瞬时弹性位移,反算出了两试验点处的岩体弹性体积模量K、剪切模量G0和变形模量E0,并由优化反演方法获得了两模型的所有流变参数G1,η1,η2和E1以及长期弹性模量E∞。利用所获得的粘弹性参数分别计算出了在不同载荷下两种模型的理论解析曲线,并与实测曲线进行了分析对比,最终获得了能够较真实地描述试验区域岩体流变变形特性的最佳模型,即三参量固体模型。通过对比分析验证了所用思路及方法的正确性和实用性,文中方法虽然应用于流变荷载实验情况,但其具有一定的普遍意义,可应用于不同状况的流变实验的参数确定和模型反演。 相似文献
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基于实测挠度、转角和曲率的细长梁分段抗弯刚度识别研究 总被引:1,自引:0,他引:1
静载试验是获得结构真卖特性的重要方法和途径,具有直观、可靠的特点。本文基于静载试验实测的挠度、转角和曲率,建立目标函数,通过优化的方法,实现结构分段截面抗弯刚度参数的识别。研究了优化目标函数的建立、优化算法的选取与实现;通过数值算例和一片简支梁静载试验实例分析,对方法的正确性与可行性进行了验证,所得结果可用于结构损伤识别和安全性能评估。 相似文献
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松弛与蠕变力学特性转换关系的研究 总被引:8,自引:0,他引:8
本文首先论述了拉伸应力松弛模量E(t)与拉伸蠕变柔量D(t)之间的近似与精确转换关系式,提出一种诊断D(t)的数值积分算法,通过应力松弛模量实验给出一种固体推进剂E(t)和D(t)的实测与转换计算结果,计算结果有较小的误差具有重要的实用价值。 相似文献
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非线性弹性地基上矩形薄板受双频参数激励作用的非线性振动 总被引:2,自引:0,他引:2
应用弹性理论和Galerkin方法建立小挠度矩形薄板在非线性弹性地基上受两对均布纵向简谐激励作用的双模态非线性动力学方程。应用多尺度法求得系统满足双频主参数共振条件的一次近似解和对应的定常解,并进行了数值计算。分析了阻尼系数、地基系数、几何参数等对系统双频主参数共振的影响。 相似文献
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地基土形成过程中由于沉积作用大多具有横观各向同性的特点.利用数学、力学手段,采用坐标转换矩阵的方法,对横观各向同性地基的本构模型和模型中参数的选取作了一定的理论研究,可由横观各向同性面水平情况下的地基的本构方程直接推导出横观各向同性面倾斜情况下的地基的本构方程,而所需测的力学参数仍为垂直和平行横观各向同性面方向上的力学参数,数量没有增加,简单易用.得出了一些有益于工程实践的结论.所述理论可以解释地应力的水平应力分量不等的量测结果,同时由于考虑了地基土形成过程中的沉积作用,利用该本构模型计算地基在外荷作用下的应力、应变的响应问题,比均质各向同性理论更加符合实际情况. 相似文献
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为分析沥青面层材料粘弹特性及路面各层间接触条件对沥青路面动力响应的影响,基于解析的方法,开展了层间非完全连续沥青路面粘弹性动力响应的求解工作.采用修正的Burgers模型定义沥青面层材料的粘弹性本构关系,考虑沥青路面层间接触条件,在车辆荷载作用下,建立沥青路面的理论计算模型;通过Laplace-Hankel积分变换将偏微分方程组转化为常微分方程组并对问题进行求解;采用转换矩阵表征层间接触条件,求得层间非完全连续沥青路面粘弹性动力响应的解析表达式.从沥青路面实例计算结果发现:修正的Burgers模型中的瞬时弹性模量参数是对弯沉计算结果影响最大的因素之一,路表弯沉随的增大呈下降趋势,特别是当较小时,这种趋势尤为明显;沥青混合料本构模型中的粘弹性修正系数B和黏性参数是影响路面路表弯沉计算结果的另两个重要因素,并且B和对弯沉峰值出现时间的影响具有相反的趋势;层间的非完全连续条件对沥青路面动态弯沉计算结果影响较大,并以面层与基层间的非完全连续对弯沉计算结果影响最为显著. 相似文献
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This paper investigates the steady-state responses of a Timoshenko beam of infinite length supported by a nonlinear viscoelastic Pasternak foundation subjected to a moving harmonic load. The nonlinear viscoelastic foundation is assumed to be a Pasternak foundation with linear-plus-cubic stiffness and viscous damping. Based on Timoshenko beam theory, the nonlinear equations of motion are derived by considering the effects of the shear deformable beams and the shear modulus of foundations at the same time. For the first time, the modified Adomian decomposition method(ADM) is used for solving the response of the beam resting on a nonlinear foundation. By employing the standard ADM and the modified ADM, the nonlinear term is decomposed, respectively. Based on the Green's function and the theorem of residues presented,the closed form solutions for those linear iterative equations have been determined via complex Fourier transform. Numerical results indicate that two kinds of ADM predict qualitatively identical tendencies of the dynamic response with variable parameters, but the deflection of beam predicted by the modified ADM is smaller than that by the standard ADM. The influence of the shear modulus of beams and foundation is investigated. The numerical results show that the deflection of Timoshenko beams decrease with an increase of the shear modulus of beams and that of foundations. 相似文献
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S. Datta 《基于设计的结构力学与机械力学》2013,41(4):331-343
ABSTRACT The large deflection of a clamped circular plate on elastic foundation under nonuniform but symmetrical loads has been investigated following Berger's approximate method. The deflections are obtained in the form of an infinite series involving Bessel functions. Graphs are plotted for deflections, bending moments, and bending stresses for various values of foundation modulus and load functions. 相似文献
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A. T. Vasilenko 《International Applied Mechanics》2002,38(3):351-355
An approach is proposed to solve a stress–strain problem for anisotropic rigidly fixed plates on an elastic foundation. The problem is solved by the method of successive approximations. At each approximation, the deflection is represented as polynomials whose coefficients are determined from a system of linear algebraic equations. Study is made of the influence of the reinforcement angle and the modulus of subgrade reaction on the deflections and the bending moments in an orthotropic plate. 相似文献
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A boundary element method is developed for the large deflection analysis of thin elastic plates resting on elastic foundation. The subgrade reaction may depend linearly (Winkler-type) or nonlinearly on the deflection as well as on the point coordinates (nonhomogeneous subgrade). Moderately large deflections are examined as described by the von Karman equations. The plate may have arbitrary shape and its boundary may be subjected to any type of boundary condition. The proposed method uses the fundamental solution of the linear plate theory and treats the nonlinearities as well as the subgrade reaction as unknown domain forces. Numerical results are presented to illustrate the method and demonstrate its effectiveness and accuracy. 相似文献
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基于Euler-Bernoulli梁理论,利用广义Hamilton原理推导得到弹性地基上转动功能梯度材料(FGM)梁横向自由振动的运动控制微分方程并进行无量纲化,采用微分变换法(DTM)对无量纲控制微分方程及其边界条件进行变换,计算了弹性地基上转动FGM梁在夹紧-夹紧、夹紧-简支和夹紧-自由三种边界条件下横向自由振动的无量纲固有频率,再将控制微分方程退化到无转动和地基时的FGM梁,计算其不同梯度指数时第一阶无量纲固有频率值,并和已有文献的FEM和Lagrange乘子法计算结果进行比较,数值完全吻合。计算结果表明,三种边界条件下FGM梁的无量纲固有频率随无量纲转速和无量纲弹性地基模量的增大而增大;在一定无量纲转速和无量纲弹性地基模量下,FGM梁的无量纲固有频率随着FGM梯度指数的增大而减小;但在夹紧-简支和夹紧-自由边界条件下,一阶无量纲固有频率几乎不变。 相似文献
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《International Journal of Solids and Structures》2003,40(12):3039-3067
In recent years, a series of papers have appeared on algebraic relationships between the solutions (e.g., deflections, buckling loads and frequencies) of a given higher-order plate theory and the classical plate theory. The bending relationships, for example, can be used to generate the transverse deflection of a plate according to the particular higher-order theory from the known deflection of the same problem according to the classical plate theory. In the present study relationships between the bending solutions of several higher-order plate theories and the classical plate theory are obtained in a canonical form (i.e., one set of relationships contain several theories and they can be specialized to a specific theory by assigning values to the constants appearing in the relationships). Numerical examples of bending solutions for rectangular plates with various boundary conditions are presented to show how the relations can be used to determine the deflections and bending moments for various theories. The relationships are validated by comparing the numerical results obtained using the relationships for the Mindlin plate theory against those computed using the ABAQUS finite element program. 相似文献
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MingHao Zhao WeiLing Zheng CuiYing Fan 《International Journal of Solids and Structures》2010,47(18-19):2525-2532
Based on the von Kármán plate theory, the mechanics of a shaft-loaded blister test for thin film/substrate systems is studied by considering elastic substrate deformations and residual stresses in these films. In testing, films are attached to a substrate provided with a circular hole, through which loading is applied to the film by a flat-ended shaft of circular cross-section. The effect of substrate deformation on the deflection of the loaded film is taken into account by using a line spring model. For small deflections, an analytical solution is derived, while for large deflections a numerical solution is obtained using the shooting method. The resulting load-shaft displacement relation, which is essential in blister tests, compares favorably with finite element analysis. 相似文献