This thesis has considered the three primary geometric nonlinearity factors of suspension bridges: the cable sagging effect, the large deflection effect due to changes in geometry and the influence of initial strains, and carry on static structure analysis to the structure of suspension bridges with 2D finite-element models on the basis of Updating Lagrange form foundation.
本文利用有限元法，考虑了悬索桥三个主要几何非线性的影响要素：结构的大变形效应、主缆的垂度效应及构件初始内力的影响，在更新的Lagrange基础上，用平面有限元模型对悬索桥结构进行静力结构分析。
Prestressing loss of CFRP, stress/strain distribution in flange, deformation and crack distribution were studied. The results indicated that: effective width coefficient of compression top flange increased by less than 8% due to concrete cracking, long-term loading, and ordinary tension reinforcement yielding; the test value of deflection at mid-span at 1001 day was 2.322.42 times of the initial deflection, plastic deformation at 20 days after unloading was 41% of 1001 day`s; the strain of tensile reinforcement had a 65% increase than that of its initial value, and residual strain after unloading was about zero; the strain of compressed reinforcing steel bar had a 225%268% increase than that of its initial value, and residual strain at 20 days after unloading was 53% of 1001 day`s; compression strain on top plate of the box girder under long-term load increased quickly in the early stage and became stable after 2 years, and it had a 164%224% increase than that of its initial value at 1001 day; the crack width increased as time increased under long-term load, then it became stable after more or less 2 years, and it was 1.592.69 times than that of its initial value at 1001 day; most of the cracks in the bottom plate of box girder developed from middle of bottom plate, and they were wider in the middle of the bottom plate than at the bottom ends of the webs; the strain distributed over the section depth of web agreed well with plane assumption. Based on the behaviors of concrete beams prestressed with external CFRP tendons, the comformable formulars for predicting crack width of concrete box/T girder prestressed with external CFRP tendons were proposed by modifying traditional formulas in design codes for predicting the crack with of ordinary prestressed concrete beams.(5) Based on Mindlin-Reissener theories of thick plate, the fundamental geometric nonlinearity equations for flat-shell element were set up with U. L formulas. A flat-shell element was composed with the lock-free element for thick/thin plates and the four-nodded arbitrary quadrilateral finite element with in-plane rotational degree of freedom.
4通过配置体外CFRP预应力筋混凝土薄壁箱梁的短期均布荷载试验、长期持荷试验以及长期持荷后的破坏试验，研究了体外CFRP预应力筋的预应力损失、截面应力分布、变形性能及裂缝开展和分布，得到以下结论：混凝土开裂、长期持荷、体内非预应力受拉钢筋屈服等因素使翼缘有效宽度计算系数略有增加(小于8%)；持续1001 d引起的CFRP筋预应力损失仅为1.47%，卸载后比卸载前仅减小1.27%；持荷1活动房001d时L/2跨的长期挠曲变形实测值为初始变形的2.322.42倍，卸载20d后不可恢复变形为1001d变形的41%；持荷1001d受拉钢筋应变较初始值增加约65%，卸载后基本无残余应变；持荷1001d受压钢筋应变较初始值增加225%268%，卸载并恢复20d后不可恢复应变为其1001d应变的53%；持续荷载作用顶板混凝土表面压应变前期发展较快，持荷2年左右基本上趋于稳定，持荷1001d压应变较初始值增加164%224%；持续荷载作用下初始裂缝宽度随时间增加而增大，持荷2年左右裂缝宽度与长度基本上趋于稳定，持荷1001d实测裂缝宽度为初始值的1.592.69倍，卸载并恢复20d后变为不可见裂缝；箱梁底板横向裂缝一般自底板中部开展，并且在各试验阶段底板裂缝宽度沿横向分布均呈现中间宽两端窄；各试验阶段箱梁截面腹板处应变沿高度分布基本符合平截面假定。
Based on the rigidity plate and the small deflection theories, and considering the physical nonlinearity of concrete, the equilibrium and stability equations of reinforced concrete rectangular plate subjected to thermal loading are derived.
基于刚性板和小挠度理论，考虑混凝土的材料非线性，推导了热载作用下钢筋混凝土矩形薄板的平衡方程和稳定方程。
Beam-column effect, large deflection effect, elongation of the cable and the other geometrical nonlinearity and structural secondary internal forces which causes from the prestress, the creep and shrinkage of concrete and the temperature in the mechanical model are inducted.
其中，在建模中考虑的主要因素是：梁柱效应、大变形效应、斜拉索垂度等几何非线性，预应力、混凝土收缩徐变、温度等引起的结构次内力；
In this dissertation, the synthetical influences of viscoelasticity, geometric nonlinearity and initial deflection on the creep buckling and post-buckling of columns, plates and honeycombs are investigated systematically.
本论文以杆、板和蜂窝结构为研究对象，综合考虑了材料粘弹性、损伤、几何非线性、初始挠度等因素，系统地研究了杆、板和蜂窝材料结构的蠕变屈曲与后屈曲行为。
The bending deformation and deflection fishing rod under its sole weight and vertical fishing force were calculated and analysed in consideration of the geometric nonlinearity of fishing rod, which were referential for the structure design and standard formulation of fishing rod.
本文在考虑到钓竿的几何非线性的基础上，对它在自重及垂直钓力下的弯曲变形和挠度作了计算分析，对玻璃钢钓鱼竿的结构设计及制定有关标准有一定参考价值。
Large deflection problem of cantilever beam with different moduli, a unusual problem which have nonlinearity both in materials and in configurations, was solved by pseudolinear analysis and perturbation theory.
采用拟线性分析和摄动理论解决了一个既考虑材料非线性又考虑几何非线性的不同模量悬臂梁大挠度问题。
The experimental results show that the nonlinearity and sensitivity of the accelerometer are 0.95% and 557 mV/g when the deflection voltage and the emission voltage are 5.478 V and 1.953 V, respectively, which indicates that the sensor has good performance.
实验结果表明，当设置发射电压和反馈偏置电压分别为1.953V和5.478V时，该真空加速度传感器的灵敏度达到557mV/g，非线性度为0.95%，传感器系统具有良好的性能。