CAJ | 학술논문

模型相似比的研究是振动台模型试验的关键工作之一。文章依据量纲分析法求解了地下管线与土相互作用函数表达式中单值条件的相似常数，依据推导过程，指出了量纲分析法的不足之处；结合模型与原型之间的弹性力-重力相似关系、动力本构关系及单自由度质点的振动微分方程，阐述了利用控制方程法对不同相似指标之间的约束关系进行补充的必要性，完善了相似律的推导过程，得出了土-地下管线相互作用振动台试验的相似常数；同时提出了进行模型土设计时忽略弹性模量的影响，进而满足动剪切模量比和阻尼比随剪应变变化的相似设计方法。
모형상사비적연구시진동태모형시험적관건공작지일。문장의거량강분석법구해료지하관선여토상호작용함수표체식중단치조건적상사상수，의거추도과정，지출료량강분석법적불족지처；결합모형여원형지간적탄성력-중력상사관계、동력본구관계급단자유도질점적진동미분방정，천술료이용공제방정법대불동상사지표지간적약속관계진행보충적필요성，완선료상사률적추도과정，득출료토-지하관선상호작용진동태시험적상사상수；동시제출료진행모형토설계시홀략탄성모량적영향，진이만족동전절모량비화조니비수전응변변화적상사설계방법。
T he theory of scale model similitude has a great significance for the scaled model shaking ta-ble test .Based on the dimensional analysis ,scale model factors in solution equations of soil-under-ground pipeline interaction are computed ,and according to the computation process ,the disadvanta-ges of dimensional analysis are presented .Therefore ,the equational analysis considering scale rela-tions of elastica-gravity ,constitutive model of soil and oscillatory differential equation of a point unit with one degree of freedom is carried out for the improvement of dimensional analysis .It is believed that in computing scale factors ,both dimensional analysis and equational analysis should be made so as to improve the computation process .Scaled factors for scale modeling shaking table test of soil-un-derground pipeline interaction are derived .A new method for the design of scale model is presented , w hich considers the relationship of dynamic shear modulus ratio and damping ratio to shear strain of soil rather than the effect of modulus of elasticity .