CAJ | 학술논문

土动力特性参数中，最大动剪切模量Gmax是定量描述土动力学本构最重要的参量之一，现有研究方法通常需较多参量及工程经验方能对其进行半定量的计算，但天然状态条件下土体的Gmax真值是唯一且确定的。为此，结合对土体动力学特性广泛适用性的基于等效黏弹性理论的修正Davidenkov模型，基于土动三轴试验，提出对该模型中的3个参量多元回归和对Gmax自适应逼近迭代的反分析算法，用于求取Gmax并得到本构方程中所需系数。研究表明：该算法在同时满足Davidenkov模型曲线三参数对测试数据拟合以及反算Gmax残差最小的双重计算约束条件下，对3类土样的动三轴测试数据进行拟合，在规避直接获取Gmax存在困难的情况下，顺利得到各测试样本的动本构模型。
토동력특성삼수중，최대동전절모량Gmax시정량묘술토동역학본구최중요적삼량지일，현유연구방법통상수교다삼량급공정경험방능대기진행반정량적계산，단천연상태조건하토체적Gmax진치시유일차학정적。위차，결합대토체동역학특성엄범괄용성적기우등효점탄성이론적수정Davidenkov모형，기우토동삼축시험，제출대해모형중적3개삼량다원회귀화대Gmax자괄응핍근질대적반분석산법，용우구취Gmax병득도본구방정중소수계수。연구표명：해산법재동시만족Davidenkov모형곡선삼삼수대측시수거의합이급반산Gmax잔차최소적쌍중계산약속조건하，대3류토양적동삼축측시수거진행의합，재규피직접획취Gmax존재곤난적정황하，순리득도각측시양본적동본구모형。
The maximum dynamic shear modulus(Gmax) is a very important parameter in describing the dynamic constitutive equation of soil. Gmax reflects the dynamic response of soil modulus and damping ratio directly,which changes with dynamic strain. Generally,Gmax is got by semi-quantitative formula in existed methods,and a lot of engineering experiences are needed. But in fact,Gmax is unique and constant. From this aspect,based on equivalent viscous elastic theory,the modified Davidenkov model is taken into account;and it is widely applicability for describing the dynamic behavior of soil. Based on dynamic triaxial test for three types of soil samples and according to the three parameters contain in modified Davidenkov model,the anti-analysis algorithm based on multiple regressions and self-adapting approximation is proposed to achieve Gmax and the factors required in Davidenkov model. The result shows that:with this algorithm,the dual constraints conditions above is carried out to fit test data. Under the premise of minimizing the residuals of Gmax,the fitting curve can describe the dynamic response behavior of soil very well within small strain condition. This algorithm is good at circumventing the difficulty of getting Gmax directly,and finally,the dynamic constitutive equation for three types of soil samples is achieved.