摘要
利用光滑函数技术,提出光滑化的拉压不同弹性模量问题的应力应变关系,与有限元方法相结合,建立了拉压不同模量一维连续体与桁架结构的数值求解模型,推导了敏度计算公式,采用Newton-Raphson算法进行求解。数值结果表明,本文算法具有较高的计算精度和收敛速度。
A new smoothed elastic bi-modular constitutive relationship is presented,therefore the sensitivity of stiffness matrix with respect to displacement and the sensitivity of displacement with respect to elastic modulus can be obtained conveniently.A FEM and sensitivity analysis based numerical model is developed for elastic 1D continuum and truss structures with dual extensional/compressive modulus,and Newton-Raphson algorithm is employed in the solution process.A number of numerical examples are given to verify the proposed algorithm with high computing accuracy and efficiency.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2011年第2期237-242,共6页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(10772035
10721062
10472019
11072043)
973项目(2005CB321704
2010CB832703)资助项目
