New development of solution of equations of motion with adaptive time-step size-linear fem based on eep superconvergence technique

被引：0

作者：

Yuan S. ^{[1
]}

Yuan Q. ^{[2
]}

Yan W.-M. ^{[2
]}

Li Y. ^{[2
]}

Xing Q.-Y. ^{[1
]}

机构：

[1] Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry, Department of Civil Engineering, Tsinghua University, Beijing

[2] Beijing Key Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing

来源：

Yuan, Si (yuans@tsinghua.edu.cn) | 2018年 / Tsinghua University卷 / 35期

关键词：

Adaptive time-step length; EEP super-convergence; Equations of motion; Galerkin FEM; Recovery of nodal displacement accuracy;

D O I：

10.6052/j.issn.1000-4750.2017.05.ST01

中图分类号：

学科分类号：

摘要：

This paper uses the simplest linear finite elements of the Galerkin type and gives a compact and efficient recurrence solution formula for equations of motion. Further, based on the EEP (Element Energy Projection) super-convergence technique, two critical techniques, i.e. adaptive time-step size and recovery of nodal displacement accuracy, have been developed, enabling a linear finite element solution with errors uniformly distributed and satisfying the pre-specified error tolerance at any moment in the whole time domain. Numerical examples of both single and multiple degreed systems are given to verify the validity of the proposed method. © 2018, Engineering Mechanics Press. All right reserved.

引用

页码：13 / 20

页数：7

共 11 条

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