共查询到19条相似文献,搜索用时 140 毫秒
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分析了三维Cosserat连续体理论中的应力应变特征,推导了三维Cosserat连续体的有限元方程,基于ABAQUS计算软件提供的用户单元子程序(UEL)接口编写了弹性Cosserat连续体三维20节点有限元程序,并分析了微悬臂梁自由端的挠度问题和微杆扭转问题。通过与基于经典连续体理论的解析解及有限元数值计算结果进行比较,表明所发展的三维Cosserat连续体有限元能有效地模拟微结构尺寸相关效应问题,即随着微结构尺寸与材料内部长度参数的接近,基于Cosserat连续体有限元分析得到的微梁的挠度以及微杆的转角与经典连续体的解析解及有限元解相比越来越小;反之,Cosserat连续体有限元的计算结果与经典连续体的解析解及有限元数值解较为一致。 相似文献
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纯压钢管拱稳定临界荷载计算的等效柱法 总被引:1,自引:0,他引:1
以均布荷载下的抛物线钢管拱为研究对象,在考虑双重非线性的有限元分析基础上,讨论了完善拱和有初始几何缺陷的拱的弹性失稳和弹塑性失稳的特性,提出纯压钢管拱稳定临界荷载计算的等效柱法.分析结果表明,矢跨比是计算拱临界荷载的重要影响因素,而现有等效柱法中没有考虑这一因素的影响,为此,提出等效柱的稳定系数中考虑矢跨比影响的计算方法.有初始几何缺陷的拱将发生极值点失稳,且极值点荷载要小于分支屈曲临界荷载,为此提出缺陷拱等效柱法考虑缺陷影响的计算方法.给出了钢管拱失稳临界荷载等效柱法计算的相应公式和实用表格.与双重非线性有限元计算结果对比表明,提出的等效柱法能方便且较精确地估算钢管拱的非线性临界荷载. 相似文献
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提出了用Maple编程绘制无铰拱影响线的解析法.绘制了抛物线无铰拱在单位竖向移动载荷作用下,3个多余未知力的影响线;指定截面上的弯矩,剪力和轴力的影响线;支座水平约束力,垂直约束力及约束力矩的影响线.实例表明,利用Maple强大的符号运算功能,使用解析法绘制无铰拱影响线,速度快,方法简单,能同时给出影响线的解析表达式. 相似文献
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采用有限元法中的伪弧长算法研究了集中载荷作用下圆拱的大范围非线性问题,给出了临界载荷与圆心角间的关系曲缄以及极值分叉与简单分叉的分界点,并对屈曲后的变形进行了追踪,文中首先简述伪弧长算法,然后给出了计算结果。 相似文献
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以复合板中面的挠度响应作为不锈钢复合板抗冲击性能的评价指标,基于能量法和经典层合板理论,考虑层间结构参数设计,通过横向载荷下的弯曲平衡微分方程,建立冰载荷下不锈钢复合板挠度响应简化解析模型。该分析模型将整个动态响应分析过程分为冰载荷计算分析和动力学方程求解两个阶段。分析了冰载荷模型的面倾角、冲击速度和碰撞位置对冰载荷的影响,确定极端工况参数,汇总接触面的节点力数据;分析了层厚比对挠度响应的影响规律;基于LS-DYNA有限元仿真以及数值算例分析,对比挠度响应仿真结果和解析计算值,验证了本文简化解析模型的准确性,研究结果对不锈钢复合板抗冲击性能分析和评估具有一定的参考价值。 相似文献
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《应用力学学报》2021,(3)
为了得到含环向裂纹压弯薄壁圆柱壳失稳的极限荷载,基于Je?ek解析法,先利用裂纹面的平衡方程、变形几何关系和物理方程,得到在压弯荷载作用下圆柱壳轴力与裂纹面挠度的关系式;再利用极值条件,推导出在轴压和弯矩共同作用下含裂纹薄壁圆柱壳失稳时极限荷载的解析表达式。利用数值计算分析裂纹长度、长细比以及端部施加弯矩对圆柱壳极限荷载、弹性区高度和圆柱壳裂纹截面处挠度的影响,通过有限元数值结果验证极限荷载解析解的准确性。计算结果表明:与无裂纹完善构件相比,弯矩对含裂纹圆柱壳的极限荷载Pu的影响最为显著,其降低幅值可达3.78%~23.18%;弯矩的增加也会导致构件弹性区高度逐渐减小,裂纹面处的挠度呈非线性增长。本文研究弥补了目前该类问题缺乏理论解析解的不足。 相似文献
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研究了圆柱、圆锥、抛物型和双曲型回转变截面悬臂梁在侧向三角形分布载荷下的挠度。基于四类回转悬臂梁的惯性矩沿长度方向的分布规律,得到其任意侧向分布载荷下的挠曲线方程。基于三角形分布载荷下的挠曲线方程,得到其端部挠度值。在等长度和等体积假设下,通过比较端部挠度值找到四类悬臂梁中挠度最小者。研究表明三角形分布载荷下,特征参数在特定范围内,母线为双曲线的悬臂梁挠度最小。 相似文献
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提出了一种设置反拱结构的拱桥加固方法,该方法是通过在主拱圈拱肋下方设置反拱,在反拱和拱肋之间用竖杆相连,并通过抗弯预埋件和抗剪锚栓把反拱的拱脚和拱肋连接,使反拱结构和原主拱圈共同形成结构受力体系。本文基于有限元参数分析方法,通过设置6个不同参数:拱的矢高f1、拱的拱轴系数m1、反拱的矢高f2、反拱的拱轴系数m2、反拱与待加固拱的等效半径比i、反拱纵向长度与待加固拱的总跨径的比值Kr,以考虑不同拱桥、反拱结构参数对原拱桥关键截面内力、跨中挠度及整体屈曲系数的影响。基于大量计算数据的参数拟合,分别获得跨中弯矩、跨中挠度、拱脚弯矩、拱脚推力、整体屈曲系数的拟合表达式。通过对拟合数据的分析,获得了反拱加固的拱桥结构力学特性的相关变化规律。最后对一个100m跨径拱桥进行加固计算分析,结果表明:本文提出的加固方法不但可以显著提高待加固桥梁的整体刚度与稳定性,而且可有效地降低主拱关键截面的内力。 相似文献
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Based on the elongated Kelvin obtained to investigate the tensile behavior Kelvin model's periodicity and symmetry in model, a simplified periodic structural cell is of anisotropic open-cell elastic foams due to the whole space. The half-strut element and elastic deflection theory are used to analyze the tensile response as done in the previous studies. This study produces theoretical expressions for the tensile stress-strain curve in the rise and transverse directions. In addition, the theoretical results are examined with finite element simulation using an existing formula. The results indicate that the theoretical analysis agrees with the finite element simulation when the strain is not too high, and the present model is better. At the same time, the anisotropy ratio has a significant effect on the mechanical properties of foams. As the anisotropy ratio increases, the tensile stress is improved in the rising direction but drops in the transverse direction under the same strain. 相似文献
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This paper presents a novel formulation and analytical solutions for adhesively bonded composite single lap joints by taking into account the transverse shear deformation and large deflection in adherends. On the basis of geometrically nonlinear analysis for infinitesimal elements of adherends and adhesive, the equilibrium equations of adherends are formulated. By using the Timoshenko beam theory, the governing differential equations are expressed in terms of the adherend displacements and then analytically solved for the force boundary conditions prescribed at both overlap ends. The obtained solutions are applied to single lap joints, whose adherends can be isotropic adherends or composite laminates with symmetrical lay-ups. A new formula for adhesive peel stress is obtained, and it can accurately predict peel stress in the bondline. The closed-form analytical solutions are then simplified for the purpose of practical applications, and a new simple expression for the edge moment factor is developed. The numerical results predicted by the present full and simplified solutions are compared with those calculated by geometrically nonlinear finite element analysis using MSC/NASTRAN. The agreement noted validates the present novel formulation and solutions for adhesively bonded composite joints. The simplified shear and peel stresses at the overlap ends are used to derive energy release rates. The present predictions for the failure load of single lap joints are compared with those available in the literature. 相似文献
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尹邦信 《应用数学和力学(英文版)》1999,20(7):773-780
IntroductionAscompositesareextensivelyappliedinmodernengineringstructuresandmechanicsofcomplexmaterialshasbenhighlyadvanced,i... 相似文献
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Mario M. Attard Jianbei Zhu David C. Kellermann 《Archive of Applied Mechanics (Ingenieur Archiv)》2014,84(5):693-713
The in-plane buckling behavior of funicular arches is investigated numerically in this paper. A finite strain Timoshenko beam-type formulation that incorporates shear deformations is developed for generic funicular arches. The elastic constitutive relationships for the internal beam actions are based on a hyperelastic constitutive model, and the funicular arch equilibrium equations are derived. The problems of a submerged arch under hydrostatic pressure, a parabolic arch under gravity load and a catenary arch loaded by overburden are investigated. Buckling solutions are derived for the parabolic and catenary arch. Subsequent investigation addresses the effects of axial deformation prior to buckling and shear deformation during buckling. An approximate buckling solution is then obtained based on the maximum axial force in the arch. The obtained buckling solutions are compared with the numerical solutions of Dinnik (Stability of arches, 1946) [1] and the finite element package ANSYS. The effects of shear deformation are also evaluated. 相似文献
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随机有限元方法在断裂分析中的应用 总被引:2,自引:0,他引:2
在幂律非线性随机有限元基础上,以单边裂纹板为例给出计算含量钢继裂参数,J(J积分),δ(裂纹张开位移),Δ(由裂纹引起的裂纹板上下底面相对位移),θ(由裂纹引起的裂纹板上下底在相对转角)及其对基本随机变量变化率的方法和分析算例。 相似文献