基于数值模拟法的张力膜结构风振响应分析  

Analysis of wind-induced response of tensile membrane structure based on digital simulation method

作　　者：黄国辉[1] 徐国彬[2] 

机构地区：[1]北京市建筑设计研究院,北京100045 [2]北京交通大学土建学院,北京100044

出　　处：《空间结构》2005年第1期56-59,12,共5页Spatial Structures

摘　　要：针对张力膜结构这种柔性结构非线性程度高、质量轻、刚度弱、风敏感等特点,利用非线性随机振动理论,采用数字模拟法在时域对张力膜结构进行了风激动力响应分析.利用线性自回归过滤器,引入适当的三维空间相关性公式,根据脉动风的特性产生时域内的样本函数,然后根据样本函数利用有限元法在时域内求解运动微分方程得到张力膜结构的风激动力响应,最后由响应值求得结构振动的位移、速度、加速度的均值和均方差等统计信息.从中获取张力膜结构的风激动力响应特性,并给出风激动力响应与结构参数的关系,为继续开展张力膜结构的研究工作提供一些有益的参考.Because the tensile membrane structures are sensitive to wind for their high nonlinear, weak stiffness and low weight, digital simulation method applied to nonlinearly stochastic vibration was adopted to analyze wind-induced dynamic response of tensile membrane structures in time domain. Firstly, based on the probabilistic characteristic and three-dimension spatial correlated formula, the wind loads were simulated to time-dependent functions by linear auto-regress filter. Secondly, the differential equation of structural motion was solved by finite element method in time domain to obtain wind-induced dynamic response of tensile membrane structures. Finally, the probabilistic analysis is made on the sample functions of the response to obtain mean and standard deviation of displacement and acceleration of structural vibration, and then the characteristic of nonlinear wind-induced dynamic response and relationship between wind-induced dynamic response and structural parameters were obtained.

关 键 词：数值模拟法 结构风振 张力膜结构 随机振动理论 动力响应分析 运动微分方程 样本函数 非线性程度 空间相关性 柔性结构 有限元法 结构振动 响应特性 统计信息 结构参数 研究工作 过滤器 自回归 时域 脉动风 响应值 均方差 

分 类 号：TU473.12[建筑科学—结构工程] TU311.3[建筑科学—土工工程]