A truly self-starting implicit family of integration algorithms with dissipation control for nonlinear dynamics-Reference-Cited by-同舟云学术

A truly self-starting implicit family of integration algorithms with dissipation control for nonlinear dynamics

Published:2020-11-25 Issue:4 Volume:102 Page:2503-2530
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Li Jinze^ORCID,Yu Kaiping^ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-020-06101-8.pdf

Reference45 articles.

1. Hughes, T.J.R.: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications, Dover Civil and Mechanical Engineering, Dover (2000)

2. Bathe, K.J.: Finite Element Procedures, 2nd edn. Prentice-Hall, Englewood Cliffs (2014)

3. Butcher, J.C.: The Numerical Analysis of Ordinary Differential Equations: Runge–Kutta and General Linear Methods. John Wiley and Sons, New Jersey (1987)

4. Newmark, N.M.: A method of computation for structural dynamics. J. Eng. Mech. Div. 85(3), 67–94 (1959)

5. Wilson, E.L., Farhoomand, I., Bathe, K.J.: Nonlinear dynamic analysis of complex structures. Earthq. Eng. Struct. Dyn. 1(3), 241–252 (1972)

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