各向异性杆扭转问题的各向同性化边界元分析

Isotropicalized Boundary Element Analysis for Torsion Problem of Anisotropic Bar

提出了采用扭转函数和应力函数求解各向异性杆扭转问题的各向同性化边界元法 ,导出了其基本方程和边界条件 ,并给出了坐标变换式 .利用各向同性杆扭转问题的简单基本解 ,按边界元法求解 ,经逆变换得到所需的应力分量和位移分量 .扭转函数法尤适用于多连域和求截面翘曲 ,并可消除区域积分 .算例表明 。

The isotropicalized boundary element method for sloving the torsion problem of anisotropic bar based on torsion function and stress function was proposed.The fundamental equations and boundary con- ditions were derived. The coordinating conversion formulae were given. The simple fundamental solution of the torsion problem of isotropic bar was utilized for the boundary element method.The stress compo- nents and displacement componenets were given by the inverse change.The torsion function method is suitable for multiply- connected region and solution of sectional warping,and can eliminate the regional in- tegral.The numerical results show that this method is of simplicity and validity.