摘要
在结构动力学和随机振动理论基础上,推导出结构脉动风总响应的实际理论组合公式,首次定义了耦合恢复力协方差矩阵这一参数,提出用于补偿背景和共振分量之间耦合项的一致耦合方法(CCM)来求解结构的总风致响应,并赋予等效静风荷载背景和共振耦合项以明确的物理含义。以某大跨屋盖结构为例,采用CCM法进行风致响应和等效静风荷载计算,通过与全模态完全二次型组合(CQC)计算结果进行对比分析,深入揭示了背景和共振耦合项的作用机理,验证了本文方法的高精度和有效性,为此类结构风致响应和等效静风荷载的精确求解和机理研究提供新的思路。
Aimed at the limitations of total fluctuating wind-induced response with combination of background and resonant components using Square Root of the Sum of Squares (SRSS) method, the theoretical combination formulas of fluctuating wind-induced responses and ESWLs are derived based on structural dynamics and random vibration theory. Meanwhile, the refined analysis method is firstly presented by four components formula to compensate the coupling component between background and resonant modes. The proposed procedure avoids the integration process of calculating elastic restoring force and completely considers the modal coupling effects, which can be used to calculate the ESWL for any complex structures. Taking the steel grid roof structure of a large museum as an example, the new method was used to calculate its wind-induced response. Compared with results of complete quadratic combination (CQC), the effectiveness and accuracy of the present approach has been revealed.
出处
《土木建筑与环境工程》
CSCD
北大核心
2013年第6期112-117,共6页
Journal of Civil,Architectural & Environment Engineering
基金
国家自然科学基金(51208254)
江苏省自然科学基金(BK2012390)
广东省高校结构与风洞重点实验室开放课题
中央高校基本科研业务费(NN2012024
56YAH12010)