Numerical methods and parallel algorithms for computation of periodic responses of plates

Numerical methods that compute the nonlinear frequency–response curves of plates are presented. The equation of motion of the plate is derived by assuming first order shear deformation theory and considering geometrical type of nonlinearity. It is discretized by the finite element method using bilin...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 310; pp. 200 - 212
Main Authors: Stoykov, S., Margenov, S.
Format: Journal Article
Language:English
Published: Elsevier B.V 15.01.2017
Subjects:
Computation
Continuation methods
Equations of motion
Frequency–response curve
High-performance computing
Mathematical analysis
Nonlinear dynamics
Nonlinearity
Numerical analysis
Plates
Scalability
Shooting
Shooting method
Nonlinear dynamics
Frequency–response curve
Scalability
Shooting method
High-performance computing
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Summary:Numerical methods that compute the nonlinear frequency–response curves of plates are presented. The equation of motion of the plate is derived by assuming first order shear deformation theory and considering geometrical type of nonlinearity. It is discretized by the finite element method using bilinear quadrilateral elements. The frequency–response curve is computed by shooting and continuation methods. Parallel implementation of the shooting method is presented and its scalability is investigated.
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ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2016.06.040