计算力学学报2019，Vol.36Issue(1)：132-137,6.DOI:10.7511/jslx20170926002
精细时程积分法及其数值衍生格式应用评估
Review on precise time integration method and its derived formats
摘要
Abstract
Helicopter rotor aeroelasticity is essentially described by a set of stiff and nonlinear partial differential equations.They can be rewritten as non-homogeneous ordinary differential equations after discretion by finite element method.The non-homogeneous terms depend on time response and aerodynamic loads of the blades.This paper introduces a precise time integration method (PTI) and its derived formats to solve this kind of equations.The Duhamel integration term in the derived formats can be calculated using this numerical method.It also selects and compares the precise-Kutta method and high precision direct scheme (HPD) on integration precision and numerical stability.At last, an implicit integration method is used to comprehensively evaluate PTI on rotor dynamics.Numerical examples indicate that HPD scheme is precise evough to be used for rectangular blades.关键词
旋翼动力学/偏微分方程/精细积分法/高精度直接积分法/梯形方法Key words
rotor dynamics/partial differential equation/precise time integration method/high precision direct scheme/trapezoidal method分类
数理科学引用本文复制引用
吴杰,王志东,虞志浩..精细时程积分法及其数值衍生格式应用评估[J].计算力学学报,2019,36(1):132-137,6.基金项目
国家自然科学基金 (51679114) 资助项目. （51679114）
