CAJ | 학술논문

钢梁与混凝土板之间的相对滑移，会使结合梁的整体刚度降低，在静力和动力计算时，必须要考虑这种滑移带来的影响。通过直接平衡法对结合梁的基本动力理论进行推导，得到集中荷载作用下结合梁的动力响应表达式；经过一系列的数学变换，使通常只能数值求解的响应表达式满足级数求和条件，以相应的 Bernoulli 函数和 Bernoulli 数代入，即可得到集中荷载作用下简支结合梁的通用挠度表达式，此表达式不仅能体现不考虑滑移的单一材料梁的挠度结果，也能反映因滑移引起的附加挠度的影响。把理论分析结果与实测结果进行了对比分析，结果吻合良好。研究结果表明：考虑相对滑移后，结合梁的振动方程形式更为复杂，表现出与普通梁不同的动力特性；在进行结合梁的挠度计算时，本质上可把静力分析结果可看作动力响应的一种特殊形式。
강량여혼응토판지간적상대활이，회사결합량적정체강도강저，재정력화동력계산시，필수요고필저충활이대래적영향。통과직접평형법대결합량적기본동력이론진행추도，득도집중하재작용하결합량적동력향응표체식；경과일계렬적수학변환，사통상지능수치구해적향응표체식만족급수구화조건，이상응적 Bernoulli 함수화 Bernoulli 수대입，즉가득도집중하재작용하간지결합량적통용뇨도표체식，차표체식불부능체현불고필활이적단일재료량적뇨도결과，야능반영인활이인기적부가뇨도적영향。파이론분석결과여실측결과진행료대비분석，결과문합량호。연구결과표명：고필상대활이후，결합량적진동방정형식경위복잡，표현출여보통량불동적동력특성；재진행결합량적뇨도계산시，본질상가파정력분석결과가간작동력향응적일충특수형식。
The slip between a steel girder and a concrete slab may decrease the global stiffness of a composite beam,it should be taken into account in static and dynamic analyses.Here,using a derivation with the fundamental dynamic theory, an analytical solution to deflection functions of simply-supported composite beams which were conventionally solved by numerical methods was derived combined with the direct balanced method of composite beam theory.After a series of mathematical transformations,the deflection functions finally satisified series summation conditions,and then the analytical solution to deflection functions of composite beams under concentrated loads was obtained by substituting the corresponding Bernoulli functions and Bernoulli numbers.The deflection functions could not only reflect the result of common beams,but also reflect the additional deflection caused by slip.The analysis results were compared with the experimental ones,they agreed well each other.The results showed that considering relative slips in composite beams,the governing motion equations of composite beams are more complex and have different dynamic characteristics compared with those of common beams;and the static results can be taken as a special case of dynamic responses of composite beams.