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Dynamic finite element analysis of viscoelastic composite plates in the time domain
Author(s) -
Yi Sung,
Hilton Harry H.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620372309
Subject(s) - recursion (computer science) , time domain , transient (computer programming) , finite element method , viscoelasticity , convergence (economics) , composite number , computer science , algorithm , domain (mathematical analysis) , numerical analysis , transient response , mathematics , structural engineering , mathematical analysis , materials science , engineering , composite material , economics , computer vision , economic growth , operating system , electrical engineering
Numerical procedures for analysing transient responses of anisotropic viscoeiastic composite plates have been developed in the time domain using variational principles and a direct time integration method. Recursion relationships have been formulated in order to reduce computer storage substantially. The method developed herein requires only two previous lime solutions to evaluate the next time solution and the necessary storage is independent of the number of the time steps. Verification studies were conducted to evaluate the accuracy and convergence of the present numerical algorithm and they show that the numerical solutions agree well with analytical ones. As examples, dynamic transient responses of viscoeiastic composite plates subjected to unit step loads were calculated using the presently developed procedure.