多层空腔楼盖减震体系及随机动力分析

发布时间：2018-05-05 02:26

本文选题：滚动调谐质量阻尼器(TRMD) + 空腔楼板　；参考：《武汉理工大学》2015年硕士论文

【摘要】：随着经济社会的不断发展,建筑结构形式及使用要求等均向大空间、大跨度形式快速发展。尤其是高层建筑结构抗震问题,一直是土木工程设计中十分重要的环节。建筑结构抗震方法通常是以“硬抗”为主要途径,即增大结构刚度、结构质量以及截面尺寸等方法,这样不仅增加建筑成本,而且减震效果有待商榷。结构振动控制,尤其是被动控制作为一种新型减震手段,以其相对完善的理论基础和良好的控制效果,越来越多的应用于高层建筑结构抗震中。本文提出了一种基于空腔楼盖的新型减震装置——滚动型调谐质量阻尼器(TRMD)。这种耗能装置由球形振子和圆弧轨道组成,通过预先在双向密肋空腔楼盖的空腔构件中设置一个或多个TRMD,主结构在地震作用下产生振动并带动TRMD运动,从而利用振子与轨道间滚动摩擦进行耗能减震;同时能够充分利用空腔楼盖内部空间协同发挥作用。分别基于振子转角位移?无小量假定和小量假定,运用拉格朗日运动方程推导了单层和多层带TRMD耗能体系的运动微分方程。运用数值模拟进行减震分析,计算结果表明:在不同地震激励下,TRMD能有效抑制结构峰值位移及能量幅值;同时,通过对比得出振子转角位移小量假定的适用范围为?小于1 rad;分析了TRMD的减震效果与地震波加速度幅值间关系。对于多层带TRMD耗能体系,本文基于小量假定前提,具体从TRMD底层布置、顶层布置、每层均布、隔层布置和顶三层布置等五种布置方案进行了数值分析。结果表明:顶层布置效果最佳,底层布置效果最差,且在不同地震激励下的减震效果区别很大。基于TRMD顶层布置,推广到n个相同参数TRMD的减震分析,计算结果表明n值越大,TRMD峰值位移越小,但是会降低减震效果。由于地震动具有明显的的随机特性,有必要对该新型减震系统进行随机动力分析。基于平稳白噪声和Kanai-Tajimi谱模型,分别运用Monte-Carlo模拟和统计线性化方法进行了单层和多层带TRMD受控体系的随机动力分析。数值结果表明:TRMD不仅能有效抑制结构稳态位移响应均方差,而且大大缩短结构达到稳态响应的时间。同时,对比结果表明在计算精度一定前提下,二者计算结果十分接近。由于统计线性化方法能够显著提高随机动力分析的计算效率,因此,为进一步进行TRMD参数优化打下基础。最后,利用统计线性化方法的解析积分解验证数值积分解的正确性。
[Abstract]:With the development of economy and society, the form of building structure and the requirement of use develop rapidly in large space and long span. Especially the earthquake-resistant problem of high-rise building structure has been a very important link in civil engineering design. The main way of aseismic method of building structure is "hard resistance", that is, to increase the stiffness, mass and section size of the structure, which not only increases the cost of building, but also the effect of seismic absorption needs to be discussed. Structural vibration control, especially passive control, as a new damping method, is more and more widely used in the seismic resistance of high-rise building with its relatively perfect theoretical foundation and good control effect. In this paper, a new type of shock absorber based on cavity floor is presented, which is a rolling tuned mass damper (TRMD). The energy dissipation device consists of a spherical vibrator and a circular track. By installing one or more TRMDs in the cavity member of the bidirectional multi-ribbed cavity floor in advance, the main structure vibrates under earthquake and drives the TRMD motion. Thus the energy dissipation can be reduced by rolling friction between the vibrator and the track, and the inner space of the cavity floor can be used to play a synergistic role at the same time. Based on the angular displacement of the vibrator, respectively? The differential equations of motion of single-layer and multi-layer TRMD energy dissipation systems are derived by using Lagrangian equations of motion. The results show that TRMD can effectively suppress the peak displacement and energy amplitude of the structure under different earthquake excitations, and at the same time, through the comparison, it is concluded that the suitable range of the small displacement assumption of the vibrator rotation angle is? Less than 1 rad. the relationship between the seismic wave acceleration amplitude and the seismic damping effect of TRMD is analyzed. For the multi-layer TRMD energy dissipation system, based on the premise of small amount of assumptions, five kinds of layout schemes, such as TRMD bottom layout, top layer layout, distribution of each layer, partition layer arrangement and top three layer arrangement, are numerically analyzed in this paper. The results show that the top layer arrangement is the best, and the bottom layer arrangement is the worst, and the seismic absorption effect under different earthquake excitation is very different. Based on the top layer arrangement of TRMD, it is extended to the seismic analysis of n TRMD with the same parameters. The calculated results show that the larger the value of n is, the smaller the peak displacement of TRMD is, but the effect of damping will be reduced. Because of the obvious random characteristics of ground motion, it is necessary to carry out random dynamic analysis of the new damping system. Based on the stationary white noise and Kanai-Tajimi spectral model, the stochastic dynamic analysis of single-layer and multi-layer TRMD controlled systems is carried out by using Monte-Carlo simulation and statistical linearization method, respectively. The numerical results show that the mean square deviation of the steady-state displacement response of the structure can be effectively suppressed by the weight TRMD, and the time of the steady-state response of the structure can be greatly shortened. At the same time, the comparison results show that the two results are very close to each other on the premise of certain accuracy. As the statistical linearization method can significantly improve the computational efficiency of stochastic dynamic analysis, it lays a foundation for further optimization of TRMD parameters. Finally, the analytical integral solution of the statistical linearization method is used to verify the correctness of the numerical integral solution.
【学位授予单位】：武汉理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU973.31

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