Coupled and uncoupled solutions for the nonlinear dynamic behaviour of guyed deep water platforms
Advances in Engineering Software
Computer Methods in Applied Mechanics and Engineering
Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
Computer Methods in Applied Mechanics and Engineering
Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme
Computers and Structures
Journal of Computational Physics
On a composite implicit time integration procedure for nonlinear dynamics
Computers and Structures
A new family of time marching procedures based on Green's function matrices
Computers and Structures
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This work presents the detailed formulation of a hybrid time-frequency domain Green approach method for the solution of structural dynamic problems. A step-by-step time-domain solution procedure is established, based on the convolution between the Green functions of the problem and the vector of external loads. The Green functions are implicitly calculated in the frequency domain. The accuracy is significantly improved when compared with traditional direct integration methods, or with other methods based on the Green approach. This is due to the accurate calculation of the Green functions in the frequency domain, and to enhancements in the representation of the convolution integral.