摘要
巨型运输车辆的结构系统的应力分布通常是三维的,从轴对称位势问题的边界积分方程出发,论述精确预测其结构强度需使用三维数值方法,对系数矩阵计算中柯西主值积分的奇异性与对数积分中的奇异性分别进行了研究,对柯西奇异积分部分提出一种解析的表达形式;而将对数积分中的奇异性进行了降阶处理.通过与有解析解的算例进行比较表明,本方法在减少计算量的情况下仍能较好地保证精度,对材料的奇异应力捕捉更为有效.
The stresses in huge vehicle structural system are subordinated to the 3D distribution. Based on the axisymmetric potential boundary integral equation, a 3D numerical method is postulated to accurately forecast the structural strength. As such, the singularities of the Cauchy eigenvector integral and logarithmic integral are respectively elaborated in terms of the coefficient matrix calculation. In details, an analytical expression is proposed for the Cauchy singular integral, whereas a degradation process is conducted on the logarithmic singu- lar integral. Compared with analytical derivation examples, this approach can guarantee the calculation precision yet reduce the calculation workload. In addition, this method is more efficient in material singular stress detection.
出处
《中国工程机械学报》
2008年第3期264-268,共5页
Chinese Journal of Construction Machinery
关键词
巨型运输车辆
结构强度
边界元法
轴对称位势
huge vehicle
structural strength
boundary element method
axisymmetric potential energy
