Through analysis in theory and calculation on real cable - stayed bridges , following conclusions have been reached : 1 ) methods of modeling cable - stayed bridges for nonlinear finite element analysis are reasonable and effective and truss and beam element has enough accuracy 通过理论分析和实例计算,本文得出了以下结论: 1 )本文在杆单元中用等效弹性模量来考虑斜拉索的垂度,考虑梁和塔中的梁、柱效应以及修正几何刚度矩阵是合理的、有效的。
Geometric nonlinear behaviors in large span cable - stayed bridges have been analyzed in this paper , which include the sag of inclined cable stays caused by their own dead weight ; the interaction of large bending and axial deformation in bending members ; and the large displacements effects . then analyzing theories and researching levels of geometric nonlinear problems of modern cable - stayed bridges have summarized . and methods of modeling cable - stayed bridges for nonlinear finite element analysis have been discussed , which are the equivalent modulus of elasticity , introducing stability functions and continuously modifying geometry of structure 本文分析了大跨径斜拉桥几何非线性的主要影响因素,包括斜拉索的垂度效应、弯矩与轴向力组合效应和大变形效应,同时对目前斜拉桥几何非线性问题的分析理论和研究水平进行了综述,相应讨论了各非线性影响因素的处理方法,即分别采用等效弹性模量法、引入稳定性函数和实时修正结构的几何位置。
During the finite element modeling of the bridge , the factors affecting the accuracy of the finite element model are discussed in detail , such as , the geometrical non - linearity of the cable including gravitational sag and initial tension , and the structural orthotropic steel box - girder deck to be equivalent to physical orthotropic deck by using compound material mechanics , and so on 在建模过程中,尽可能多地考虑了一些影响全桥有限元模型精度的因素:如斜拉索的几何非线性(重力垂度和初始应力) ,将构造正交各向异性钢箱梁桥面板用复合材料力学的方法等效为物理正交各向异性板等。
Afterwards , we take sag of cables into consideration and investigate the effect of the sag of cables on the effectiveness of viscous shearing damper . finally , experiments are carried out on jun shan bridge and bai sha zhou bridge to testify the effect of viscous shearing damper and the feasibility of the finite element method and galerkin approach to analyze the effectiveness of viscous shearing damper 然后在考虑斜拉索垂度的情况下,利用迦辽金方法,编制程序求解拉索振动的附加阻尼,并与未考虑垂度情况下的拉索振动的附加阻尼值相对比,分析垂度对附加阻尼的影响。
These geometric nonlinear behaviors such as the sag of inclined cables caused by their own dead weight , the interaction of large bending moment and axial forces in girders and towers , and the large displacement effects are considered during calculation . newton - raphson method and the displacement convergence norm are used to approach the solution iteratively 计算过程中计及了拉索的垂度效应,弯矩和轴力对主梁和主塔的组合效应以及结构的大变形效应等几何非线性影响因素,采用newton - raphson方法和位移收敛准则进行迭代求解。
Chapter 4 time - dependent computational simulation of the response of cable - suspension feed system in gusty wind based on the time - independent structure finite element method , and with consideration of the movement laws of cabin , a 3 - d time - dependent structure finite element model formulated by a new method named iss method ( instantaneous structure supposition method ) to deal with the vibration response of cable - suspension feed system in gusty wind is presented . in the model , all sources of geometric non - linearity , cable sag and changes of cable geometry due to large displacement , are fully considered 基于时不变结构的有限单元法,在综合考虑馈源舱运动规律的基础上,提出了时变系统的瞬时结构假定法,通过将悬索离散为索杆单元,建立了系统的时变有限元模型,该模型充分考虑了悬索的垂度和大变形等几何非线性因素,应用ne 。
Taking the bending stiffness , cable sag and cable inclination into consideration , the space vibration control of the cables using the visco - elastic dampers in cable - stayed bridges is investigated by joining the center difference method and the state space strategy . both the maximum modal damping ration and the optimal damper size are obtained , then the practical suggestions are proposed for the design of the dampers . the space nonlinear vibration equations of the cable - damper system are derived , and a new hybrid method for solving the cable - damper system is presented by combing the newmark method and pseudo - force technology 综合考虑了拉索抗弯刚度、垂度的影响,研究了粘弹性阻尼器对斜拉桥拉索的空间振动控制,联合中心差分方法及状态空间法,得出了拉索面内、外振动各阶模态可能达到的最大阻尼比及相应的最优阻尼器系数,并对斜拉桥拉索的阻尼器设计提出了参考建议:考虑拉索抗弯刚度、垂度及几何非线性,导出了索-阻尼器系统的空间振动非线性方程组,结合newmark方法及伪力( pseudo - force )方法,创新地提出了求解非线性方程组的杂交方法,根据拉索-阻尼器系统的阻尼特性,在各种荷载作用下,对索-阻尼器系统的非线性瞬态振动响应进行了研究,从系统响应的角度更加直接地验证了阻尼器的控制效果。
The cable sag and bending stiffness effects are studied on the higher natural frequencies of cable vibration . it is found that the differences of the higher adjacent frequencies go to the fundamental frequency of the taut string theory even though the cable sag or bending stiffness is included . this unique characteristic of cable vibration is used to determine the cable tension with the well - known taut string theory 2 .考虑垂度和抗弯刚度对高阶自振频率的影响,探讨了索相邻频率之差,发现索的高阶频差就是弦振动理论的基频,利用这一特性,分析了频差法测索力的精度和适用范围。
In the article there is also an analysis about the influence to the complete status of the prestressed concrete cable stayed bridge of such factors as the stiffness change of the girder and the deflection of cables and the concrete creep and the temperature change . this must be useful to engineer to take a reasonable stress limitation in determining the reasonable completed status 本文还采取对比分析计算的方法,对主梁刚度变化、拉索垂度、混凝土徐变及温度变化等因素的影响进行了分析,并指出了它们的影响程度,有助于工程师们在确定成桥状态时合理地选取控制条件。
Three circumstances on the geometric non - linear analysis are considered : the sag phenomenon of cables the nonlinear behavior of bending members and the geometry change due to large displacement . the non - linear behavior of cables is verified by introduced the ernst cable modulus of elasticity and cr formation is applied to analyze the non - linear of beams . an incremental - iterative method based on the newton - raphson method is adopted here to solve the non - behavior equations 几何非线性分析主要考虑三个方面:索的垂度效应、梁柱效应和结构大位移,其中:索的非线性分析采用ernst弹性模量对索材料的弹性模量进行修正,计及索的垂度效应的方法;梁单元的非线性分析采用cr列式法,计算中采用基于newton - raphson法的增量迭代方法求解非线性方程组。