CAJ | 학술논문

动三轴采集的试验数据点（剪应变与动剪模量和阻尼比之间）具有离散性和有限性，为方便应用需要对数据点进行拟合，但现有经验公式不一定很好吻合试验数据。为得到不同剪应变与对应的动剪模量和阻尼比之间的关系，本文利用最小二乘原理，对渤海某海洋平台地基土进行动三轴试验获得的动剪模量、阻尼比与剪切应变的数据进行了分段多项式的拟合。数据处理过程是先对剪应变值进行了压缩处理，然后再分段低次多项式拟合，得到多项式拟合参数。通过此项改进解决了正规方程解中的病态问题，且拟合效果良好。
동삼축채집적시험수거점（전응변여동전모량화조니비지간）구유리산성화유한성，위방편응용수요대수거점진행의합，단현유경험공식불일정흔호문합시험수거。위득도불동전응변여대응적동전모량화조니비지간적관계，본문이용최소이승원리，대발해모해양평태지기토진행동삼축시험획득적동전모량、조니비여전절응변적수거진행료분단다항식적의합。수거처리과정시선대전응변치진행료압축처리，연후재분단저차다항식의합，득도다항식의합삼수。통과차항개진해결료정규방정해중적병태문제，차의합효과량호。
The recorded data by cyclic triaxial testing are discrete and limited ,the relationships of data need to be fit-ted for easy use ,however the present expirical equation is not available for testing data .To obtain the value of shear modulus and damping ratio for different shear strain ,the piecewise polynomial fitting method is applied to normalized shear modulus and damping ratio versus shear strain based on least-square principle .The value of shear strain is converted to avoid the equation set ill-conditioned due to the great difference in shear strain magnitude . The fitting results is satisfactory by using the piecewise lower polynomial order fitting .