加权残数法在固体力学中的应用——我国近年来进展情况

本文综述了我国近年来加权残数法用于固体力学的进展情况.加权残数法是一种解微分方程式的近似解法,广泛地用于流体力学、热交换问题等.于国内,由于需要,近年来发展此法用于固体力学问题,发现有较多优点.文章简单地介绍此法之后,即综述此法用于杆、板、壳、网壳、弹性力学二维及三维问题,有关泛函研究,收敛性问题,配点地位问题,试函数研究,样条函数及梁函数的应用,非线性问题及于时间领域内的应用等.作者总结过去,提出了几个加权残数法今后需要研究的课题的建议.

Recent Advances in the Method of Weighted Residuals on Solid Mechanics in China

This paper presents a review of research work in recent years on the method of weighted residuals (MWR) on solid mechanics in the People's Republic of China. MWR, as a kind of mathematical method by which approximate solutions of differential equations may be obtained, is being extensively used in the fields of fluid mechanics, heat transfer, etc. In China,prompted by needs, this method has been developed to be used on solid mechanics in recent years and has also been recognized as having merits over other methods.