CAJ | 학술논문

大跨屋盖结构风振响应具有多模态参振及模态耦合效应显著的特点。结合模态加速法基本思想,基于时程响应划分了大跨屋盖结构风致背景响应和共振响应,并推导了各自的计算公式,其中背景响应能够考虑所有模态及其耦合项的贡献。对于共振响应,引入模态能量的概念,由结构动力特征参数及风荷载参数定义模态耦合系数,据此识别强耦合模态。在此基础上,结构总共振响应可以由各参振模态的 SRSS(平方和开平方,Square root of sum of squares)组合结果叠加强耦合模态的贡献得到,从而避免复杂的 CQC(完全二次型,Complete quadratic combination)组合计算,实现有效考虑模态耦合效应的目的。最后,通过国家体育场屋盖主结构风致背景响应和共振响应计算对所提方法的有效性进行了验证。
대과옥개결구풍진향응구유다모태삼진급모태우합효응현저적특점。결합모태가속법기본사상,기우시정향응화분료대과옥개결구풍치배경향응화공진향응,병추도료각자적계산공식,기중배경향응능구고필소유모태급기우합항적공헌。대우공진향응,인입모태능량적개념,유결구동력특정삼수급풍하재삼수정의모태우합계수,거차식별강우합모태。재차기출상,결구총공진향응가이유각삼진모태적 SRSS(평방화개평방,Square root of sum of squares)조합결과첩가강우합모태적공헌득도,종이피면복잡적 CQC(완전이차형,Complete quadratic combination)조합계산,실현유효고필모태우합효응적목적。최후,통과국가체육장옥개주결구풍치배경향응화공진향응계산대소제방법적유효성진행료험증。
The wind-induced response of large-span roofs features with multi-mode participating and modal coupling effects sig-nificantly.Combined with idea of modal acceleration method and based on time-history response,wind-induced background re-sponse and resonant response of large-span roofs are divided,besides,the corresponding expression formulas are deduced re-spectively.The contributions of all modes and their coupling effects are take into account for background response expression formula.For resonant response,introduced the concept of modal strain energy,the modal coupling coefficient is defined by pa-rameters of both structural dynamic characteristics and fluctuating wind loads,which can be used to select coupling dominant modes.On the base of this,total resonant response can be obtained by combining the SRSS (Square root of sum of squares) results of each participant modes with the contributions of dominant coupling modes,so the complicated CQC(Complete quad-ratic combination)calculation is avoided,and the modal coupling effects are considered effectively.Finally,the effectiveness of the proposed method is verified by the analysis of wind-induced background response and resonant response for the main roof structure of the National Stadium.