【摘要】 以高精度的齐次扩容精细积分法和矩阵分析理论为基础,提出了一种新型的分析框架结构静力问题的精细元法.该方法克服了有限单元法的精度依赖单元阶数的不足,同时突破了传递矩阵法在分析多层框架结构时存在的局限.文章以两层两跨框架为例,详细阐述了多层框架结构静力问题的精细元法求解步骤.对比算例表明本方法具有很高的精度和效率,可以达到计算机的满精度.更多还原

【Abstract】 Based on the homogenized high-precision direct integration method and matrix theory,a new precise element method is presented for the static analysis on multi-storey frame structures.It overcomes the deficiencies of finite element method whose accuracy depends on elements’ orders.Moreover,the proposed method breaks the limitation of the transfer matrix method in the application of multi-storey frame structures.Taking a two-storey two-span frame structures as an example,the solution process of the precise element method is described.Examples show that this method is effective with high accuracy,and the method can achieve the full accuracy of the computer.更多还原