- 摘 要
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（1 東南大學建筑設計研究院有限公司， 南京 210096； 2 南京航空航天大學土木工程系， 南京 210016）
［摘要］針對等效靜力風荷載（ESWL）傳統(tǒng)計算方法在處理強耦合結構共振模態(tài)之間耦合項的不足，提出基于共振恢復力協(xié)方差法能完全考慮各共振模態(tài)之間耦合效應的計算方法。具體思路為：從結構運動方程出發(fā)，推導出廣義共振模態(tài)位移響應協(xié)方差矩陣；進而基于慣性風荷載法（IWL）獲取僅包含共振分量的彈性恢復力協(xié)方差矩陣；再采用荷載響應相關方法（LRC）進行共振響應及其ESWL的計算。該方法避開求解彈性恢復力的積分過程，考慮了各階共振分量之間的耦合性，且物理意義明確，從理論上適用于任意復雜結構ESWL共振分量計算。以某電廠超大型冷卻塔為例，進行結構風致響應和ESWL計算，討論了共振分量的耦合效應，驗證了該方法的有效性。
［關鍵詞］等效靜力風荷載; 風致響應; 共振分量; 模態(tài)耦合; 力協(xié)方差法
中圖分類號：TU312+.1 文獻標識碼：A 文章編號：1002-848X(2014)02-0093-04
Analysis on modal coupling effects of resonant components of equivalent static wind loads based on force covariance method
Hou Xiangyu1, Ke Shitang2
（1 Architects and Engineers Co., Ltd. of Southeast University, Nanjing 210096, China; 2 Department of Civil Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China）
Abstract: The traditional calculating methods for equivalent static wind loads have the problems on the coupled effect between resonant modes, the method of considering the resonant responses modal coupling effects was proposed. Firstly, the generalized resonant modal displacement covariance matrix was obtained from structural equation of motion; then based on IWL method, covariance matrix of elastic restoring force containing the resonant components was obtained; at last the resonant response and equivalent static wind loads were calculated with loads-response correlation method(LRC). The proposed procedure avoids the integration process of calculating elastic restoring force and completely considers the modal coupling effects, which could be used to calculate the ESWL for any complex structures. The calculation of wind-induced responses and equivalent static wind loads of a power plant super large cooling tower demonstrated the effectiveness of the present approach.
Keywords: equivalent static wind load; windinduced response; resonant component; modal coupling; force covariance method
*國家自然科學基金（51208254），江蘇省自然科學基金（BK2012390），江蘇省博士后科研基金（1202006B）。
作者簡介：侯向煜，工程師，一級注冊結構工程師，Email：houxiangyu888@163.com。
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