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Then, the derived quasilinear viscoelastic models were implemented into finite element system.
The spindle is modeled using an in-house developed Finite Element system.
First the formalism is presented, where an original procedure is used to solve the finite element system.
Rather than evaluating frequency sweeps on a large-scale finite element system, the frequency response functions can be efficiently computed through model reduction techniques.
This is achieved by identifying a set of minimum changes in the finite element system matrices and enforcing certain constraint conditions.
Energy velocities are compared to group velocities, and the sensitivity of energy velocities to the finite element system characteristics is discussed.
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"Response and Eigenvalue Analysis of Stochastic Finite Element Systems with Multiple Correlated Material and Geometric Properties," Probabilistic Engineering Mechanics, Vol. 16, No. 1, pp. 11-29.
The domain decomposition solver (DOUG, http://www.maths.bath.ac.uk/~parsoft) used here not only is applicable to this problem but can be used to solve general unstructured finite element systems on a wide range of parallel architectures.
In this paper an efficient procedure for calculating non-exceedance probabilities of the structural response is presented, with emphasis on structures modeled by large finite element systems with many uncertain parameters.
The concept of dynamic mean and variability response functions, recently established for linear stochastic single degree of freedom oscillators, is extended to general finite element systems such as statically indeterminate beam/frame structures and plane stress problems, leading to closed form integral expressions for their dynamic mean and variability response.
FETI methods are powerful solvers for large-scale finite element systems in computational mechanics.
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