双互易杂交边界点法在结构模态分析中的应用

Application of dual reciprocity hybrid boundary node method in structural modal analysis

将双重互易法引入到杂交边界点方法中,将对非齐次项的域内积分转化成边界积分,形成双互易杂交边界点法.该方法将问题的解分为通解和特解两部分,通解使用杂交边界点法求解,特解利用局部径向基函数近似,从而实现了使用简单的静力问题基本解来求解动力问题.数值算例表明,该方法精度较高、计算量小,是一种具有优良特性的边界型纯无网格方法,适合于求解各种结构动力问题.

Dual reciprocity method （DRM） was introduced into hybrid boundary node method. The domain integral for inhomogeneous term was changed into the integral on the boundary and the dual reciprocity hybrid boundary node method was obtained, in which the solution was divided into two parts, particular and general solutions. The general solution was obtained by means of hybrid bourndary node method （HBNM）, and the particular one was approximated by the radial basis functions. Therefore, the fundamental solution of simple static elasticity problem could be used to solve the dynamic problems. This method was also a real boundary-type truly meshless method. The numerical examples showed that this method has high precision, little computation work, and is suitable for various dynamic problems.