静风荷载作用下大跨度钢拱桥极限承载力分析

随着铜拱桥垮径的不断增大。铜拱桥的极限承载力问题已引起了人们的广泛重视。本文以上海在建的主垮550m的中承式铜拱桥为例。采用几何和材料非线性分析法详细分析了大跨度铜拱桥在静风荷载作用下的极限承载力，重点讨论了静风荷载中三个分力以及不同桥梁单元上所受风荷载对大跨度铜拱桥极限承载力的影响。     

静风荷载作用下大跨度钢拱桥施工稳定性的参数研究

随着钢拱桥跨径的不断增大，钢拱桥在静风荷载作用下的施工稳定性问题已引起了人们的广泛重视。本文以上海在建的主跨550m的中承式钢拱桥为例，采用几何和材科非线性分析法详细分析了大跨度钢拱桥在两个不同施工阶段下的静风稳定性。结果表明，拱肋最初合拢状态是拱桥施工过程中最不利的状态。最后，详细探讨影响大跨度钢拱桥施工过程中静风稳定性的主要参数。     

单层平面索网幕墙结构的几何非线性问题研究

单层平面索网支承式玻璃幕墙结构是近年来在国内外应用较为广泛的一种新型幕墙结构形式,由于单层平面索网不具有负高斯曲面形式,结构在平面外方向的刚度偏柔,表现出较明显的几何非线性特征.本文采用连续化方法建立了单层平面索网结构考虑几何非线性影响的静力平衡方程和振动方程,得到了结构刚度的解析表达式,并采用谐波平衡法求得非线性频率的简化解析表达式,以此为基础研究了单层平面索网结构的静力非线性和动力非线性问题.研究结果表明:结构的非线性和结构的初始位置密切相关;结构的非线性频率主要取决于索的初始应变、结构振动幅值与跨度的比值,几何非线性对于结构动力性能的影响要小于对结构静力性能的影响;本文得到的结构在地震荷载和平均风荷载作用下的非线性振动方程和非线性频率为结构在地震荷载和脉动风荷载作用下动力响应的求解奠定了基础.     

几何缺陷浅拱的动力稳定性分析

研究了几何缺陷对粘弹性铰支浅拱动力稳定性能的影响。从达朗贝尔原理和欧拉-贝努利假定出发推导了粘弹性铰支浅拱在正弦分布突加荷载作用下的动力学控制方程,并采用Galerkin截断法得到了可用龙格-库塔法求解的无量纲化非线性微分方程组。同时引入能有效追踪结构动力后屈曲路径的广义位移控制法,对含几何缺陷浅拱的响应曲线进行几何、材料双重非线性有限元分析。用这两种方法分析了前三阶谐波缺陷对浅拱动力稳定性能的影响,其中动力临界荷载由B-R准则判定。主要结论有:材料粘弹性使浅拱动力临界荷载增大且结构响应曲线与弹性情况差别很大;二阶谐波缺陷影响显著,它使动力临界荷载明显下降且使得浅拱粘弹性动力临界荷载可能低于弹性动力临界荷载。     

大跨度悬索桥在静风荷载下的动力持性研究

大跨度桥梁的动力特性是研究桥梁振动的基础，随着跨度的增加，桥梁更加轻型化和柔性化，其几何变形与内力状态地随着风速的改变而变化，从而影响到结构的动力特性，本文介绍了风速变化时大跨径悬索桥动力特性的计算方法，并以广东虎门大桥为例，分析了大跨度悬索桥动力特性随风速度化的规律。     

改进的UL列式法及在几何非线性分析中的应用

在结构承受外荷载等效力的计算以及结构抗力向量计算方面对传统的UL方法进行了改进，编制了相应分析程序，通过算例分析比较表明该方法具有迭代收敛速度快，计算稳定，精度高的特点，该方法能直接应用到大型复杂杆系结构的几何非线性问题的求解中。     

深梁理论的研究现状与工程应用

综述了深梁理论、截面剪切修正系数计算理论、深梁线性与几何非线性有限元、深梁材料非线性分析、深梁振动理论、深梁稳定理论、箱梁结构分析中弯曲、剪力滞、畸变分析时考虑剪切变形影响的计算理论、钢腹板桥梁考虑剪切变形的研究成果、弹性地基深梁、深梁理论在工程结构中的应用等. 提出了杆系结构的静力、振动和稳定分析方法都可用Timoshenko 深梁理论进行重建和重写.     

钢筋混凝土结构非线性全过程分析方法及其应用

对普通钢筋混凝土结构和预应力混凝土结构在单调荷载及低周反复荷载的下受力全过程进行了模拟分析，程序设计中考虑了材料非线性，几何非线性，轴力二次矩，铺固钢筋的粘结滑移，混凝土的裂面效应，材料的双切线模量以及预应力的特点（包括次内力，预应力筋的应变滞后及其对混凝土裂面效应的影响等）等多种非线性因素的影响，典型算例表明，本文程序的计算值与试验结果吻合良好。     

桅杆结构静力分析简化计算方法

通过整体分析，推导出空间单索在任意荷载作用下的静力计算公式和空间索单元的非线性刚度方程，在此基础上，给出桅杆结构静力分析简化计算的非线性方程式。     

随机梁式结构静力损伤识别的一种改进方法

针对已有的损伤识别方法会出现损伤误识别的问题，本文在已有方法的基础上发展了一种随机梁式结构静力损伤识别的改进方法。假定静力荷载下梁式结构初始模型参数（如弹性模量和几何尺寸等）及测量误差为随机量，给出已有的基于随机有限元模型的梁式结构静力损伤识别方法，并进一步提出了一种改进方法。该方法通过设定损伤概率指标的阈值和反复迭代对结构损伤识别进行改进。数值算例和简支梁静力试验表明，考虑初始模型的不确定性以及静力响应测量误差，本文方法相较已有方法可以更有效地识别梁式结构的损伤。     

大跨径悬索桥空气静力和动力分析的影响因素研究

随着悬索桥跨径的增大,缆索直径以及作用在其上的风荷载、风与结构相互作用的非线性效应以及风速空间分布的非均匀性都将显著增强。以润扬长江大桥为背景,进行了缆索风荷载、风与结构相互作用的非线性效应以及风速空间非均匀分布等因素对大跨径悬索桥空气静力和动力特性影响的数值分析。分析结果表明:这些因素对大跨径悬索桥空气静力特性的影响比较大;但是对于空气动力稳定性而言,风与结构相互作用的非线性效应的影响比较显著,而其它两个因素则基本没有影响。     

Nonlinear analysis on dynamic buckling of eccentrically stiffened functionally graded material toroidal shell segment surrounded by elastic foundations in thermal environment and under time-dependent torsional loads

The nonlinear analysis with an analytical approach on dynamic torsional buckling of stiffened functionally graded thin toroidal shell segments is investigated. The shell is reinforced by inside stiffeners and surrounded by elastic foundations in a thermal environment and under a time-dependent torsional load. The governing equations are derived based on the Donnell shell theory with the von K′arm′an geometrical nonlinearity,the Stein and McE lman assumption, the smeared stiffeners technique, and the Galerkin method. A deflection function with three terms is chosen. The thermal parameters of the uniform temperature rise and nonlinear temperature conduction law are found in an explicit form. A closed-form expression for determining the static critical torsional load is obtained. A critical dynamic torsional load is found by the fourth-order Runge-Kutta method and the Budiansky-Roth criterion. The effects of stiffeners, foundations, material,and dimensional parameters on dynamic responses of shells are considered.     

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.     

钢筋凝混土壳体的非线性分析

本文采用有限元数值方法,分析计算了大型钢筋混凝土壳的几何、物理非线性静力问题。对非线性方程组的求解,文中提出了一种将载荷增量和位移增量相结合的合理方法,保证了在临界点附近迭代法的收敛性。最后,文中通过对实际双曲冷却塔壳的分析,得到了一些对实际工程设计具有指导意义的有益结论。     

Geometrical nonlinear analysis of thin-walled composite beams using finite element method based on first order shear deformation theory

Based on a seven-degree-of-freedom shear deformable beam model, a geometrical nonlinear analysis of thin-walled composite beams with arbitrary lay-ups under various types of loads is presented. This model accounts for all the structural coupling coming from both material anisotropy and geometric nonlinearity. The general nonlinear governing equations are derived and solved by means of an incremental Newton–Raphson method. A displacement-based one-dimensional finite element model that accounts for the geometric nonlinearity in the von Kármán sense is developed to solve the problem. Numerical results are obtained for thin-walled composite beam under vertical load to investigate the effects of fiber orientation, geometric nonlinearity, and shear deformation on the axial–flexural–torsional response.     

Aeroelastic analysis of a rotating wind turbine blade using a geometrically exact formulation

In this paper, an aeroelastic analysis of a rotating wind turbine blade is performed by considering the effects of geometrical nonlinearities associated with large deflection of the blade produced during wind turbine operation. This source of nonlinearity has become more important in the dynamic analysis of flexible blades used in more recent multi-megawatt wind turbines. The structural modeling, involving the coupled edgewise, flapwise and torsional DOFs, has been performed by using a nonlinear geometrically exact beam formulation. The aerodynamic model is presented based on the strip theory, by applying the principles of quasi-steady and unsteady airfoil aerodynamics. Compared to the conventional steady aerodynamic model, the presented model offers a more realistic consideration of fluid–structure interactions. The resulting governing equation, expanded up to the third-order terms, is analyzed by using the reduced-order model (ROM). The ROM is developed by employing the coupled mode shapes of a cantilever blade under free loading condition. The specifications of the 5MW-NREL wind turbine are used in the simulation study. After verifying the ROM results by comparing them with those of the full FEM model, the model is used in additional static, modal and transient dynamics analyses. The results indicate the important effect of geometrical nonlinearity, especially for larger structural deformations. Moreover, nonlinear analyses reveal the important effects of torsion induced by lateral deformations. It is also found that the governing equation is more efficient, and sufficiently accurate, when it is developed by using the second-order kinetic terms, third-order potential terms and the second-order aerodynamic terms together with third-order damping. Finally, the effects of nonlinearities on the flutter characteristics of wind turbine blades are evaluated through frequency and dynamic analyses.     

Nonlinear forced vibrations of rotating anisotropic beams

This work deals with forced vibration of nonlinear rotating anisotropic beams with uniform cross sections. Coupling the Galerkin method with the balance harmonic method, the nonlinear intrinsic and geometrically exact equations of motion for anisotropic beams subjected to large displacements, are converted into a static formulation. This latter is treated with two continuation methods. The first one is the asymptotic-numerical method, where power series expansions and Padé approximants are used to represent the generalized vector of displacement and the frequency. The second one is the pseudo-arclength continuation method. Numerical tests dealing with isotropic and anisotropic beams are considered. The natural frequencies obtained for prismatic beams are compared with the literature. Response curves are obtained and the nonlinearity is investigated for various geometrical conditions, excitation amplitudes and kinematical conditions. The nonlinearity related to the angular speed for prismatic isotropic beam is thus identified. The stability of the solution branch is examined, in the frequency domain using the Floquet theory.