论文标题
袖口组织 - 动物系统的新算法，该算法建模为空间轴对称问题
New algorithm of cuff-tissue-artery system modeled as the space axisymmetric problem
论文作者
论文摘要
在本文中，开发了袖口组织 - 动脉系统的数学模型，并将其简化为空间中的轴对称问题。袖口和动脉壁的非线性特性使很难用有限元方法直接求解弹性方程，因此，从虚拟工作原理中得出的一种新的迭代算法旨在处理非线性边界条件。数值准确性在数值模拟中非常重要，因此有必要分析影响不同的有限元素和网格对数值准确性的影响。通过维度分析，估计数值错误必须为$ O（10^{ - 5}）CM $或更小。为了达到所需的准确性，使用高阶元素的网格数量与通过收敛速率分析使用低阶元素一样大。此外，处理特定血压下的位移问题需要很小的网格大小，以使数值错误足够小，这在以前的论文中并未认真。但是，仅需花费四分之一或更少的网格即可用于位移变更问题，以确保数值准确性并降低计算成本。
In this paper, mathematical models for cuff-tissue-artery system are developed and simplified into an axisymmetric problem in space. It is nonlinear properties of cuff and artery wall that make it difficult to solve elastic equations directly with the finite element method, hence a new iteration algorithm derived from principle of virtual work is designed to deal with nonlinear boundary conditions. Numerical accuracy is highly significant in numerical simulation, so it is necessary to analyze the influence different finite elements and grid generation on numerical accuracy. By dimensional analysis, it is estimated that numerical errors must be $O(10^{-5})cm$ or less. To reach desired accuracy, the number of grids using higher order elements becomes one-fourth as large as that using low order elements by convergence rate analysis. Moreover, dealing with displacement problem under specific blood pressure needs much small grid size to make numerical errors sufficiently small, which is not taken seriously in previous papers. However, it only takes a quarter of grids or less for displacement change problem to guarantee numerical accuracy and reduce computing cost.
