Reliability analysis of circular concrete-filled steel tube with material and geometrical nonlinearity

Most of the previous research on concrete-filled steel tube is restricted to a deterministic approach. To gain clear insight into the random properties of circular concrete-filled steel tube, reliability analysis is carried out in the present study. To obtain the Structural nonlinear response and ultimate resistance capacity, material and geometrical nonlinear analysis of circular concrete-filled steel tube is performed with a three-dimensional degenerated beam ele- ment. Then we investigate the reliability of concrete-filled steel tube using the first-order reliability method combined with nonlinear finite element analysis. The influences of such parameters as material strength, slenderness, initial geo- metrical imperfection, etc. on the reliability of circular concrete-filled steel tube column are studied. It can be con- cluded that inevitable random fluctuation of those parameters has significant influence on structural reliability, and that stochastic or reliability methods can provide a more rational and subjective evaluation on the safety of CFT structures than a deterministic approach.

Relationships between femoral strength evaluated by nonlinear finite element analysis and BMD,material distribution and geometric morphology

Precisely quantifying the strength of the proximal femur and accurately assessing hip fracture risk would enable those at high risk to be identified so that preventive interventions could be taken.Development of better measures of femoral strength using the clinically

Numerical Exploration of Asymmetrical Impact Dynamics: Unveiling Nonlinearities in Collision Problems and Resilience of Reinforced Concrete Structures

This study provides a comprehensive analysis of collision and impact problems’ numerical solutions, focusing ongeometric, contact, and material nonlinearities, all essential in solving large deformation problems during a collision.The initial discussion revolves around the stress and strain of large deformation during a collision, followedby explanations of the fundamental finite element solution method for addressing such issues. The hourglassmode’s control methods, such as single-point reduced integration and contact-collision algorithms are detailedand implemented within the finite element framework. The paper further investigates the dynamic responseand failure modes of Reinforced Concrete (RC) members under asymmetrical impact using a 3D discrete modelin ABAQUS that treats steel bars and concrete connections as bond slips. The model’s validity was confirmedthrough comparisons with the node-sharing algorithm and system energy relations. Experimental parameterswere varied, including the rigid hammer’s mass and initial velocity, concrete strength, and longitudinal and stirrupreinforcement ratios. Findings indicated that increased hammer mass and velocity escalated RC member damage,while increased reinforcement ratios improved impact resistance. Contrarily, increased concrete strength did notsignificantly reduce lateral displacement when considering strain rate effects. The study also explores materialnonlinearity, examining different materials’ responses to collision-induced forces and stresses, demonstratedthrough an elastic rod impact case study. The paper proposes a damage criterion based on the residual axialload-bearing capacity for assessing damage under the asymmetrical impact, showing a correlation betweendamage degree hammer mass and initial velocity. The results, validated through comparison with theoreticaland analytical solutions, verify the ABAQUS program’s accuracy and reliability in analyzing impact problems,offering valuable insights into collision and impact problems’ nonlinearities and practical strategies for enhancingRC structures’ resilience under dynamic stress.

Large deflection response-based geometrical nonlinearity of nanocomposite structures reinforced with carbon nanotubes

This paper deals with the nonlinear large deflection analysis of functionally graded carbon nanotube-reinforced composite(FG-CNTRC)plates and panels using a finite element method.Based on the first-order shear deformation theory(FSDT),the proposed model takes into account the transverse shear deformations and incorporates the geometrical nonlinearity type.A C^0 isoparametric finite shell element is developed for the present nonlinear model with the description of large displacements and finite rotations.By adopting the extended rule of mixture,the effective material properties of FG-CNTRCs are approximated with the introduction of some efficiency parameters.Four carbon nanotube(CNT)distributions,labeled uniformly distributed(UD)-CNT,FG-VCNT,FG-O-CNT,and FG-X-CNT,are considered.The solution procedure is carried out via the Newton-Raphson incremental technique.Various numerical applications in both isotropic and CNTRC composite cases are performed to trace the potential of the present model.The effects of the CNT distributions,their volume fractions,and the geometrical characteristics on the nonlinear deflection responses of FG-CNTRC structures are highlighted via a detailed parametric study.

Effects of thermo-magneto-electro nonlinearity characteristics on the stability of functionally graded piezoelectric beam

Due to the increasing interests in using functionally graded piezoelectric materials(FGPMs) in the design of advanced micro-electro-mechanical systems, it is important to understand the stability behaviors of the FGPM beams. In this study, considering the effects of geometrical nonlinearity, temperature, and electricity in the constitutive relations and the effect of the magnetic field on the FGPM beam, the Euler-Bernoulli beam model is adopted, and the nonlinear governing equation of motion is derived via Hamilton's principle. A perturbation method, which can decompose the deflection into static and dynamic components, is utilized to linearize the nonlinear governing equation. Then,a dynamic stability analysis is carried out, and the approximate analytical solutions for the nonlinear frequency and boundary frequencies of the unstable region are obtained.Numerical examples are performed to verify the present analysis. The effects of the static deflection, the static load factor, the temperature change, and the magnetic field flux on the stability behaviors of the FGPM beam are discussed. From the proposed analytical solutions and numerical results, one can easily and clearly find the effects of various controlled parameters, such as geometric and physical properties of the system, on the mechanical behaviors of structures, and the conclusions are very important and useful for the design of micro-devices.

Effect of different geometrical non-uniformities on nonlinear vibration of porous functionally graded skew plates: A finite element study

This article presents the investigation of nonlinear vibration analysis of tapered porous functionally graded skew(TPFGS)plate considering the effects of geometrical non-uniformities to optimize the thickness in the structural design.The TPFGS plate is analyzed considering linearly,bi-linearly,and exponentially varying thicknesses.The plate’s effective material properties are tailor-made using a modified power-law distribution in which gradation varies along the thickness direction of the TPFGS plate.Incorporating the non-linear finite element formulation to develop the kinematic equation’s displacement model for the TPFGS plate is based on the first-order shear deformation theory(FSDT)in conjunction with von Karman’s nonlinearity.The nonlinear governing equations are established by Hamilton’s principle.The direct iterative method is adopted to solve the nonlinear mathematical relations to obtain the nonlinear frequencies.The influence of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the TPFGS plate for different skew angles and variable thicknesses are studied for various geometrical parameters.The influence of taper ratio,variable thickness,skewness,porosity distributions,gradation,and boundary conditions on the plate’s nonlinear vibration is demonstrated.The nonlinear frequency analysis reveals that the geometrical nonuniformities and porosities significantly influence the porous functionally graded plates with varying thickness than the uniform thickness.Besides,exponentially and linearly variable thicknesses can be considered for the thickness optimizations of TPFGS plates in the structural design.

湿热环境下多孔功能梯度圆管的非线性弯曲行为

圆管作为重要的工程结构,广泛应用于各个领域,其几何特征特殊,传统的梁理论不能满足其内外表面切应力为0的边界条件,采用合适的梁理论对其进行研究至关重要.文章采用一种修正的高阶剪切变形梁理论,研究了湿热环境下多孔功能梯度圆管的非线性弯曲行为.考虑材料物性与温度相关,基于修正的高阶剪切变形梁理论和von Kármán非线性理论,利用最小势能原理,建立了多孔功能梯度圆管的非线性弯曲控制方程,采用二次摄动法对控制方程进行求解,通过数值算例讨论了孔隙分布模型、孔隙率、梯度指数、内半径、湿度和温度对多孔功能梯度圆管非线性弯曲行为的影响.提出了针对湿热环境下多孔功能梯度圆管的非线性弯曲行为分析方法,得到了该问题的半解析解,将为优化多孔功能梯度圆管的结构和材料参数提供理论依据.结果表明:当孔隙率较大时,非均匀孔隙分布模型比均匀孔隙分布模型的多孔功能梯度圆管具有更好的抗弯曲变形能力,因此在实际轻量化设计过程中,孔隙分布应优先采用非均匀分布模型.

大展弦比混杂纤维复合材料机翼的强度及失效分析

以大展弦比机翼为研究对象,基于经典层合板理论和Tsai-Wu失效准则,考虑几何非线性效应,用流固耦合数值模拟方法,重点研究碳/玻纤维混杂比、铺层相对位置、铺层角度对机翼强度及失效特性的影响。研究表明:碳/玻纤维混杂比=8∶2为最佳纤维混杂比,机翼可兼顾高强度、低成本;玻璃纤维铺设在蒙皮对称中面位置时,机翼的强度及安全性更高,玻璃纤维铺设位置的变化不会对机翼的弹性变形产生显著影响;在不同混杂比下,以±45°铺层角度铺设的机翼整体力学性能更稳定,失效概率更低。

Geometric and material nonlinearities of sandwich beams under static loads

A new theory developed from extended high-order sandwich panel theory(EHSAPT)is set up to assess the static response of sandwich panels by considering the geometrical and material nonlinearities simultaneously.The geometrical nonlinearity is considered by adopting the Green-Lagrange-type strain for the face sheets and core.The material nonlinearity is included as a piecewise function matched to the experimental stress-strain curve using a polynomial fitting technique.A Ritz technique is applied to solve the governing equations.The results show that the stress stiffening feature is well captured in the geometric nonlinear analysis.The effect of the geometric nonlinearity in the face sheets on the displacement response is more significant when the stiffness ratio of the face sheets to the core is large.The geometric nonlinearity decreases the shear stress and increases the normal stress in the sandwich core.By comparison with open literature and finite element simulations,the present nonlinear EHSAPT is shown to be sufficiently precise for estimating the nonlinear static response of sandwich beams by considering the geometric and material nonlinearities simultaneously.

可压缩超弹橡胶隔震支座压剪大变形的双非线性理论和应用研究

受到钢板的高强度约束,橡胶隔震支座中橡胶不可压缩性假设并不符合实际。该文基于单层橡胶压、弯理论,采用解析法将橡胶材料的可压缩变量K引入其约束方程中,结合实际工程判断虚宗量贝塞尔函数的稳定性,求解本构方程,得到隔震支座压、弯状态下等效弹模Ec和等效抗弯刚度(EI)_(eff)及内部各点应力p解析式,并比较分析考虑橡胶可压缩的必要性及橡胶材料参数K,G及支座几何形状系数S_(1)对以上结果的影响;再将隔震支座等效为符合GAs,(EI)_(eff)的均质体,基于Haringx压剪作用下隔震支座内力与变形的理论,开展与理论对应的足尺寸的隔震支座的压剪试验,结合试验,得出支座每个受力状态的G-γ,F_(H)-γ的理论与试验曲线均吻合较好,解决了压剪状态下隔震支座大剪切变形的几何、材料双非线性问题。基于以上结论,得出压剪隔震支座内力和变形分布,及支座随着轴压增加,力与变形呈非线性增长的趋势,其附加倾覆弯矩M增加较大,应力随轴压的变化也较明显;最后,设计了由支座内部局部应力反演宏观力和变形的监测程序。

厚街体育馆大跨度椭圆抛物面弦支穹顶结构的非线性屈曲分析

厚街体育馆钢屋盖采用大跨度椭圆抛物面弦支穹顶结构,支座间净跨110m×80m,上部单层网壳矢高9.4m。分别以此结构与相应的单层网壳为分析对象,考虑几何非线性、初始几何缺陷及活载的半跨布置,对两类结构的非线性屈曲性能进行对比研究。在此基础上,进一步探讨初始几何缺陷分布模式及材料弹塑性对弦支穹顶稳定分析的影响。研究表明:弦支穹顶的稳定承载力明显高于相应的单层网壳;初始几何缺陷按最低阶屈曲模态分布时,稳定承载力系数并非最小;材料非线性对结构稳定性影响较大;一致缺陷模态法并不完全适用于结构的稳定分析。

苏通大桥斜拉桥静力稳定分析的综合比较研究

结合苏通大桥科研专题与国际咨询审查成果,系统地就国内外研究中对大跨度斜拉桥静力稳定分析中所采用的加载方式、判定准则及其结论上的异同等关键问题进行了综合比较和分析研究,并指出一些亟待进一步探讨的问题.

考虑几何与材料及静风荷载的非线性因素的大跨径桥梁静风稳定分析法

针对现有的桥梁静风稳定分析方法中存在的问题 ,提出了增量与内外两重迭代相结合的新方法 ,并且考虑了结构几何、材料和静风荷载非线性。在上述方法的基础上 ,编制了桥梁非线性空气静力稳定分析程序BNAP ,并进行了相应的算例分析 ,所得结果表明该方法具有计算稳定和速度快的优点。最后 ,以一座主跨 10 0 0米的斜拉桥为例 ,分析了结构几何非线性、材料非线性和静风荷载非线性对大跨径桥梁空气静力稳定性的影响。

大跨桁式钢管混凝土拱桥空间非线性有限元分析

采用共旋坐标法导出钢管混凝土杆单元在大位移、大应变条件下的空间几何、材料非线性耦合的单元切线刚度矩阵;提出了在n+1维荷载-位移空间Rn+1中求解非线性有限元方程组的位移增量法迭代格式,该格式保留了迭代刚度矩阵的部分带状性能;在此基础上编制相应的有限元程序NSTSAP(几何非线性)和NSTSAP2(双重非线性)。通过与湖南茅草街大桥拱顶节段试验模型进行对比分析发现:该方法能较好地反映桁式拱肋钢管混凝土拱桥空间受力的非线性性能。

大跨度外倾式拱桥稳定及极限承载力分析

为研究外倾式拱桥稳定及极限承载力问题,以九堡大桥为背景,建立有限元分析模型,分别计算了该桥线性屈曲、几何非线性稳定(分别考虑初始缺陷以及材料非线性)、弹塑性稳定状态下的稳定系数,对失稳机理以及车道荷载和静风荷载作用下的极限承载力进行分析,在此基础上讨论了荷载及横撑布置对极限承载力的影响。分析结果表明:几何非线性对于刚度较大的钢拱桥稳定的影响不大,而材料非线性对极限承载力的影响显著,弹性稳定分析会过高地估计钢拱桥的极限承载力;外倾式拱桥的失稳多为面外失稳形式,且副拱拱顶横撑对稳定的影响较小。

大跨度连续刚构桥预应力混凝土箱形梁极限承载力分析

以虎跳门特大桥作为工程背景 ,采用梁段单元法建立了大跨度连续刚构桥预应力混凝土箱形梁极限承载力分析的数学模型 ,并推导出薄壁箱梁的 U.L.列式增量平衡方程。在研究中 ,考虑了箱梁顶板、底板和腹板局部变形的影响及材料非线性和几何非线性。按形成矩阵的“对号入座”

边坡稳定的非线性有限元分析

基于有限元强度折减法,进行了边坡的弹塑性材料非线性及大变形几何非线性分析,并考虑了边坡的三维变形情况。在有限元分析中采用的是莫尔-库仑理想弹塑性模型,大变形分析采用的是更新的拉格朗日法。均质边坡的算例分析表明,有限元法与简化的毕肖普法的安全系数计算结果具有相同的规律,即安全系数都随着黏聚力及内摩擦角的增加而增加,随着重度的增加而减小,但是,各种有限元法的计算结果都比相应的毕肖普法的解要大,亦即毕肖普法偏于安全。各种方法对应的安全系数由大到小的顺序依次是:三维小变形有限元分析、二维大变形有限元分析、二维小变形有限元分析,简化的毕肖普法,前二者能更好地反映实际的边坡变形情况,二者的安全系数值也十分接近,因而是较好的方法。

斜拉桥面内整体失稳分析

本文按极值失稳问题,考虑几何非线性和材料非线性的影响,对斜拉桥面内整体失稳分析方法进行了研究。推导出考虑两种非线性影响的压弯杆单元刚度矩阵,建立了结构失稳判别准则,采用基于有限元理论的数值分析方法。最后,用此法对一座斜拉桥进行计算,计算结果说明所介绍的分析方法是合理可用的。

椭球面弦支穹顶结构的稳定性

以上部网壳为椭球面的弦支穹顶结构为对象,用ABAQUS软件建模,考虑初始缺陷、布索方式及预应力水平等影响因素,进行几何非线性及同时考虑几何非线性和材料非线性的稳定性分析,分析时采用弧长法跟踪平衡路径,得到不同参数下结构的荷载-位移曲线.通过对比分析各参数下荷载-位移曲线及稳定极限承载力,椭球面弦支穹顶结构的稳定性能较单层网壳有了大幅度提高,初始缺陷的存在降低了结构的稳定承载力.此外,不同布索方式和预应力水平对结构的稳定承载力有较大的影响,应进行优化设计.

钢管混凝土结构材料非线性的一种有限元分析方法

为了更简单地考虑梁单元的材料非线性受力性能,把断面广义力和广义应变的概念运用于单元分析中,将单元的弹塑性刚度矩阵分离为弹性刚度矩阵和塑性刚度矩阵。这样,梁单元的变形可以由弹性变形和塑性变形简单地迭加,结构内力可通过弹性应变能的斜率(弹性刚度矩阵)与位移的乘积求得,从而在增量-迭代计算时可较准确且较快地计算出结构变形后的不平衡力。应用这一计算方法,推导了基于纤维模型的三维梁单元的钢管混凝土结构的有限元基本公式,并将其植入能考虑几何非线性的三维梁单元非线性计算程序NL_Beam3D中以计算结构的双重非线性问题。算例分析表明该方法和程序能较准确地反映钢管混凝土结构的双重非线性特性。