重庆建筑
重慶建築
중경건축
Chongqing Architecture
2015年
11期
31-33
,共3页
非线性弹性地基%梁%有限差分法%反力与沉降
非線性彈性地基%樑%有限差分法%反力與沉降
비선성탄성지기%량%유한차분법%반력여침강
non-linear elastic foundation%beam%finite different method%counterforce and settlement
基于实验测量的地基反力与地基梁沉降关系数据，分别将地基和梁之间的作用力与梁的挠度拟合成线性关系和三次多项式关系，推导出非线性弹性地基梁的有限差分法基本理论方程式，并用MATLAB软件编程解出数值解。算例计算对非线性弹性地基梁和经典线弹性Winkler地基梁的挠度、转角、剪力和弯矩结果进行了对比，结果表明二者的相对误差可达到10%～30%，因此在实际工程中应尽量考虑地基反力与沉降的非线性关系。
基于實驗測量的地基反力與地基樑沉降關繫數據，分彆將地基和樑之間的作用力與樑的撓度擬閤成線性關繫和三次多項式關繫，推導齣非線性彈性地基樑的有限差分法基本理論方程式，併用MATLAB軟件編程解齣數值解。算例計算對非線性彈性地基樑和經典線彈性Winkler地基樑的撓度、轉角、剪力和彎矩結果進行瞭對比，結果錶明二者的相對誤差可達到10%～30%，因此在實際工程中應儘量攷慮地基反力與沉降的非線性關繫。
기우실험측량적지기반력여지기량침강관계수거，분별장지기화량지간적작용력여량적뇨도의합성선성관계화삼차다항식관계，추도출비선성탄성지기량적유한차분법기본이론방정식，병용MATLAB연건편정해출수치해。산례계산대비선성탄성지기량화경전선탄성Winkler지기량적뇨도、전각、전력화만구결과진행료대비，결과표명이자적상대오차가체도10%～30%，인차재실제공정중응진량고필지기반력여침강적비선성관계。
Based on the measured relationship data between foundation counterforce and beam settlement, the counter force is fitted as a cubic polynomi-al about the deflection of beams by experimental data,and the corresponding control equations are derived. The finite different method is developed to obtain numerical results. Computation shows that the relative errors between non-linear and linear elastic Winkler beams can reach 10%-30%,and the non-linear foundation about settlement should be considered in engineering.
