HIGH PERFORMANCE CPU-GPU FREQUENCY RESPONSE ANALYSIS

Abstract eng:
Solution of the linear dynamics problems in the frequency domain for damped finite element models of engineering systems requires solving systems of complex linear algebraic equations with millions equations for many excitation frequency values. Direct or iterative solution at each frequency is not usually feasible because of the computational cost. Mode-superposition method is widely used for solving large-scale linear dynamics problems. It includes extraction of the natural modes of vibration and solving the reduced system of equations of motion in the frequency domain. However, in practical engineering simulations such reduced systems of equations can have tens of thousands of complex linear equations and hundreds of the right hand sides associated with multiple load cases. Thus, solving for thousands of excitation frequencies still can be costly. We present high performance algorithms for solving large scale linear dynamic problems in the frequency domain including the AMS eigensolver and the modal frequency response solver. We discuss scalable parallel implementation of the solution algorithms for symmetric multiprocessing systems and the hybrid approach based on using multiple graphic processors (GPU) and multiple CPU threads. We present several examples of the frequency response calculation for the large-scale linear dynamic simulations. We will demonstrate that the scalable linear dynamics solvers implemented in Abaqus enable effective large-scale frequency-domain dynamic simulations, “mid-frequency” range using traditional finite element approach.

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