高层建筑风振控制响应分析及其优化设计

【作者】 李暾；

【导师】 章本照； 李创第；

【作者基本信息】 浙江大学 ， 流体力学， 2003， 硕士

【摘要】 随着科学技术的进步和社会的发展，高层建筑和高耸结构不断的出现，并向着高强轻质的方向发展，结构的刚度和阻尼在不断的下降。作为高层建筑和高耸结构主要荷载的风，对结构的影响也在加大。通过风振控制技术(如在建筑结构上加装TMD或TLD等控制装置)，能够有效地减小结构的风振响应，提高结构的可靠性以及满足舒适度的要求，减少风灾造成的损失。TMD和TLD对结构的控制效果与其参数的选取有关，合理的选择有关参数，能够使总体结构的风振响应达到最小。本文对基础转动结构、带TMD或TLD结构的高层建筑和高耸结构的平稳与非平稳随机风振响应、动力可靠性分析以及基于动力可靠性约束的优化设计方法进行了系统的研究，取得了以下成果：1、针对Davenport脉动风谱为非有理分式风谱，通过线性滤波过程和三参数拟合，生成了与Davenport风谱等效的脉动风谱。2、针对基础转动结构以及带TMD或TLD结构的高层建筑和高耸结构，其质量、刚度矩阵是非对称的，阻尼矩阵是非经典的情况，运用复模态法对运动微分方程进行解耦，并利用通过线性滤波过程生成的脉动风谱，综合运用扩阶法，获得了等效风谱对应的，以结构第一振型表示的结构平稳与非平稳随机风振响应和动力可靠性的解析表达式。建立了任意非对称质量、刚度矩阵和非经典阻尼矩阵的两自由度二阶动力体系复模态解耦的统一理论，以及结构在平稳与非平稳风激励下动力响应及动力可靠性的统一解析理论。3、首次提出将控制装置反应的动力可靠性作为约束条件，同时考虑结构反应、控制装置参数约束条件下，将结构的平均最大风振位移作为目标函数，使其极小化，用罚函数方法对控制装置的参数进行优化设计，建立了基于动力可靠性约束的结构随机风振控制优化设计的方法。更多还原

【Abstract】 With the advance of science and the development of society, more and more tall buildings appeared, and are developing toward the direction of high strength and light mass. The stiffness and damping of structures are declining. The effect of the wind, as the main load to the tall buildings, to the structures is aggravating. Through the way of control of wind-induced vibration (for fixing TMD or TLD in the structures), the wind-induced response of structures is reduced effectively, the reliability is improved and comfort requirement is satisfied. Wind-induced damage is reduced. The control effect to wind-induced vibration of structures has something to do with the parameters of TMD and TLD. If selecting parameter reasonable, the wind-induced response of structures can be minimized. In this paper, the stationary and non-stationary random wind-induced response, dynamic reliability and optimization under the dynamic reliability constraint of structures with foundation rotation and tall building with TMD or TLD is studied systematically. Three achievements are gained. 1. According to the situation that Davenport wind spectrum is irrational fraction, theequivalent wind spectrum is generated by linear filtered process. 2. According to the situation that the mass and stiffness matrix of structures with foundation rotation and tall building with TMD or TLD are non-symmetry, the damping matrix is non-classical, the dynamic equations are disconnected by using complex mode theory. The analytic solutions of wind-induced response and dynamic reliability which expressed by the first mode and correspond to equivalent wind spectrum are given by using expanding rank method. The complex mode consensus analytic theory of 2-DOF dynamic system with non-symmetry mass and stiffness matrix and non-classical damping matrix, and the consensus analytic theory of the stationary and non-stationary random wind-induced response and dynamic reliability are established. 3. The new viewpoint of optimization under the dynamic reliability constraint of control equipment is advanced for the first time. Minimize the mean largest displacement of the structure considering of structure response constraint and control equipment constraint at the same time. The parameters of control equipment are optimized by using penalty function method. The control optimization theory under the dynamic reliability constraint of random wind-induced vibration of structures is established.更多还原