基于数值模拟法的张力膜结构风振响应分析
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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.
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.
引文
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[2]庄表中,王行新.随机振动理论[M].北京:地震出版社,1982.
[3]向阳.薄膜结构的初始形态设计、风振响应分析及风洞实验研究[D]:[博士学位论文].哈尔滨:哈尔滨建筑大学,1998.
[4]张相庭.结构风压和风振计算[M].上海:同济大学出版社,1985.
[5]黄国辉.张力膜结构非线性风振响应分析[D]:[硕士学位论文].北京:北京交通大学,2001.
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