CAJ | 학술논문

基于尖点突变理论，首次以平行组拼双肋拱为研究对象，设定了结构侧倾屈曲位移函数，构建了侧倾失稳变形能量表达式，通过数学转换，建立了尖点突变模型，获得了平行组拼双拱肋系统的平衡曲面M方程和分歧点集B方程，通过分析体系失稳条件，计算了分歧点集解，推导了系统侧倾失稳临界荷载计算公式，提出了平行组拼双肋拱侧倾失稳临界荷载计算新方法；最后与有限元数值解进行了对比分析，结果表明：文中所推导的侧倾失稳临界荷载理论解与有限元数值解吻合良好，验证了基于尖点突变理论的平行组拼双肋拱侧倾失稳临界荷载计算方法的正确性，为拱结构侧倾屈曲的研究开辟了一条新途径。
기우첨점돌변이론，수차이평행조병쌍륵공위연구대상，설정료결구측경굴곡위이함수，구건료측경실은변형능량표체식，통과수학전환，건립료첨점돌변모형，획득료평행조병쌍공륵계통적평형곡면M방정화분기점집B방정，통과분석체계실은조건，계산료분기점집해，추도료계통측경실은림계하재계산공식，제출료평행조병쌍륵공측경실은림계하재계산신방법；최후여유한원수치해진행료대비분석，결과표명：문중소추도적측경실은림계하재이론해여유한원수치해문합량호，험증료기우첨점돌변이론적평행조병쌍륵공측경실은림계하재계산방법적정학성，위공결구측경굴곡적연구개벽료일조신도경。
Based on the cusp catastrophe theory,the lateral buckling of parallel dual-arch-ribs was stud-ied.The displacement function,as well as the energy representation were constructed when there was a lateral buckling in the dual arch-ribs.By mathematical transform,the energy cusp catastrophe model was established,then the system's equilibrium surface M equation and bifurcation point set B equation were obtained.Through the analysis of buckling conditions of dual-arch-ribs system,bifurcation point was cal-culated,and the formula of lateral buckling critical load was derived,furthermore,a new calculation method of lateral buckling critical load of parallel dual-arch-ribs was proposed.At last,comparing theo-retical results based on the cusp catastrophe theory with those obtained from FEM,it is verified that the calculation method presented is sufficiently accurate.The study has opened up a new way for the lateral buckling of the arch structures.