The discrete energy-momentum method: conserving algorithms for nonlinear elastodynamics
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Conserving energy and momentum in nonlinear dynamics: A simple implicit time integration scheme
Computers and Structures
On a composite implicit time integration procedure for nonlinear dynamics
Computers and Structures
Transient Simulation of Silicon Devices and Circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
An efficient backward Euler time-integration method for nonlinear dynamic analysis of structures
Computers and Structures
Consistent structural linearisation in flexible-body dynamics with large rigid-body motion
Computers and Structures
A stress improvement procedure
Computers and Structures
ElastoHydroDynamic lubricated cylindrical joints for rigid-flexible multibody dynamics
Computers and Structures
Multiscale methods for levitron problems: Theory and applications
Computers and Structures
Performance of an implicit time integration scheme in the analysis of wave propagations
Computers and Structures
The value of numerical amplification matrices in time integration methods
Computers and Structures
Model order reduction for dynamic simulation of beams with forcing and geometric nonlinearities
Finite Elements in Analysis and Design
An explicit time integration scheme for the analysis of wave propagations
Computers and Structures
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In Refs. [1,2], an effective implicit time integration scheme was proposed for the finite element solution of nonlinear problems in structural dynamics. Various important attributes were demonstrated. In particular, it was shown that the scheme remains stable, without the use of adjustable parameters, when the commonly used trapezoidal rule results in unstable solutions. In this paper we focus on additional important attributes of the scheme, and specifically on showing that the procedure can also be effective in linear analyses. We give, in comparison to other methods, the spectral radius, period elongation, and amplitude decay of the scheme and study the solution of a simple 'model problem' with a very flexible and stiff response.