CAJ | 학술논문

多点输入计算中，在考虑所有耦合项的完全二次项（CQC）组合法基础上，给出忽略相关耦合项的平方和平方根（SRSS）近似算法，并针对两点支承结构的特殊性，提出该类型结构拟静力响应的简化计算方法。以典型的两种两点支承结构为算例，分析 SRSS 近似算法的精度。计算结果表明，对于两点支承结构而言，SRSS 算法的误差主要是因为忽略拟静力和相对动力耦合项所致，而忽略振型耦合项的误差较小；行波效应越强，近似算法的误差越大；但从实际工程结构的计算结果来看，在常见的波速范围内，两种近似算法的位移、内力的计算误差都分别在10％、15％以内。因此采用SRSS 近似方法用于此类结构多点输入地震响应的计算是可行的。
다점수입계산중，재고필소유우합항적완전이차항（CQC）조합법기출상，급출홀략상관우합항적평방화평방근（SRSS）근사산법，병침대량점지승결구적특수성，제출해류형결구의정력향응적간화계산방법。이전형적량충량점지승결구위산례，분석 SRSS 근사산법적정도。계산결과표명，대우량점지승결구이언，SRSS 산법적오차주요시인위홀략의정력화상대동력우합항소치，이홀략진형우합항적오차교소；행파효응월강，근사산법적오차월대；단종실제공정결구적계산결과래간，재상견적파속범위내，량충근사산법적위이、내력적계산오차도분별재10％、15％이내。인차채용SRSS 근사방법용우차류결구다점수입지진향응적계산시가행적。
On the base of response spectrum CQC method considering all the coupling items,an approximate SRSS algorithm ignoring relevant coupling terms was given.Due to the specialty of structures with two supports,a simplified algorithm for analysing quasi-static response of this type of structures was put forward.Taking a typical two supports structure as example,the accuracy of the approximate algorithm of SRSS was analyzed.The results show that the error of SRSS method mainly comes from ignoring quasi-static and relative dynamic coupling terms,but not modal coupling terms. The stronger the traveling-wave effect is,the bigger the error of the approximate algorithm will be.But according to the calculation results of actual engineering structures,within the range of the common wave velocity,the computation errors of displacement and internal force of the two approximate algorithms keep within 10% and 15% respectively.So it is feasible to use approximate algorithm of SRSS for seismic response analysis of two supports structures under multi-support excitation.