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.     

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。     

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。     

弹性圆拱在考虑几何非线性和初始缺陷情况下的动力稳定性分析

本文由虚功原理建立弹性圆拱的平衡方程,用有限差分法对非线性偏微分方程组进行求解(Park法对时间进行差分)。在考虑几何非线性和初始几何缺陷情况下对铰支、固支圆拱在均布突加阶跃荷载作用下的动力稳定性进行分析。结果表明:圆拱中心角的大小、边界条件及初始缺陷幅值都对圆拱失稳模态有影响。文中分析了直接、间接两种失稳形式。并给出了不同初始缺陷及边界条件下圆拱中心角对比值Pd/Pa(Pd为动力稳定临界值,Ps为静力稳定临界值)的影响。     

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。     

钢筋混凝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。     

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。     

非线性方程组的解法:局部弧长法

描述了一个新的非线性方程组的求解方法——局部弧长法．该方法是在弧长法的基础上发展起来的适合于材料非线性有限元分析的数值解法．其约束方程充分利用了结构中破坏区域内的非线性变形信息，有效地解决了材料非线性分析中的稳定性与收敛性问题．数值计算表明，该方法不仅适合于求解结构的极限承载能力，也适合于求解结构达到极限承载参力以后的荷载－变形的全过程     

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.     

Aeroelastic analysis of large horizontal wind turbine baldes

A nonlinear aeroelastic analysis method for large horizontal wind turbines is described. A vortex wake method and a nonlinear finite element method (FEM) are coupled in the approach. The vortex wake method is used to predict wind turbine aerodynamic loads of a wind turbine, and a three-dimensional (3D) shell model is built for the rotor. Average aerodynamic forces along the azimuth are applied to the structural model, and the nonlinear static aeroelastic behaviors are computed. The wind rotor modes are obtained at the static aeroelastic status by linearizing the coupled equations. The static aeroelastic performance and dynamic aeroelastic responses are calculated for the NH1500 wind turbine. The results show that structural geometrical nonlinearities significantly reduce displacements and vibration amplitudes of the wind turbine blades. Therefore, structural geometrical nonlinearities cannot be neglected both in the static aeroelastic analysis and dynamic aeroelastic analysis.     

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.     

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。     

Performance enhancement of wing-based piezoaeroelastic energy harvesting through freeplay nonlinearity

We investigate experimentally how controlled freeplay nonlinearity affects harvesting energy from a wing-based piezoaeroelastic energy harvesting system. This system consisits of a rigid airfoil which is supported by a nonlinear torsional spring (freeplay) in the pitch degree of freedom and a linear flexural spring in the plunge degree of freedom. By attaching a piezoelectric material (PSI-5A4E) to the plunge degree of freedom, we can convert aeroelastic vibrations to electrical energy. The focus of this study is placed on the effects of the freeplay nonlinearity gap on the behavior of the harvester in terms of cut-in speed and level of harvested power. Although the freeplay nonlinearity may result in subcritical Hopf bifurcations (catastrophic for real aircrafts), harvesting energy at low wind speeds is beneficial for designing piezoaeroelastic systems. It is demonstrated that increasing the freeplay nonlinearity gap can decrease the cut-in speed through a subcritical instability and gives the possibility to harvest energy at low wind speeds. The results also demonstrate that an optimum value of the load resistance exists, at which the level of the harvested power is maximized.     

Geometric and Material Nonlinear Static and Dynamic Analysis of Space Truss Structures

A formulation of the nonlinear FEM truss element that takes into account both the geometric nonlinearity and material nonlinearity of the structure is derived. The associated iterative algorithm for the application is described. Based on two inelastic material models (isotropic hardening and dynamic hardening), three space truss structures are subjected to static and to dynamic loads in order to illustrate the application of nonlinear FEM. The nonlinear FEM described can accurately trace the complex structural behavior of space truss structures, including snap-through, and buckling. The FEM results match well with the theoretical results.     

考虑几何非线性的复合材料机翼气动弹性分析

本文研究结构几何非线性与气动力非平面效应对大展弦比复合材料机翼的气动弹性行为的影响．将非线性有限元法与曲面涡格法结合，计算机翼静气动弹性变形；通过曲面偶极子格网法结合静气动弹性平衡位置处的结构切线刚度，建立气动弹性方程并求解得到机翼颤振速度．针对板模型机翼，分析了迎角对机翼几何非线性气动弹性特性的影响．结果表明：本文复合材料板模型机翼的颤振形式不受水平弯曲模态影响，属于经典弯扭颤振；在几何非线性的影响下，机翼扭转频率随结构变形增大而明显减小，颤振速度随迎角增大而减小．     

Stability analysis of viscoelastic thin shallow hyperbolic paraboloid shells

The stability of linearly viscoelastic flexible shallow hyperbolic paraboloid shell is analysed under transverse load. Allowances are made for geometrical nonlinearity and initial imperfections of the surface shape. By application of the method of finite differences with respect to geometrical variables and the method of differentiation with respect to a parameter (time) the solution for the system of equilibrium non-linear integro-differential equations is reduced to Cauchys problem which can be solved numerically. The critical time was shown to depend on the load, curvature, initial imperfections and edge elements compressibility. Critical loads for an outlying time moment are determined.