Abstract
This paper develops an accurate and efficient finite element model for simulating coupled transient electromagnetic and dynamic mechanical fields that differ widely in the frequency ranges. This coupled modeling framework is necessary for effective modeling and simulation of structures such as antennae that are governed by multi-physics problems operating in different frequency and temporal regimes. A key development is the wavelet transformation induced multi-time scaling or WATMUS method that is designed to overcome shortcomings of modeling coupled multi-physics problems that are governed by disparate frequencies. The WATMUS-based FE model is enhanced in this paper with a scaled and preconditioned Newton-GMRES solver for efficient solution. Results from the WATMUS-based FE model show the accuracy and highly improved computational efficiency in comparison with single time-scale methods. The coupled FE model is used to solve two different antenna problems with large electromagnetic to mechanical frequency ratios. The examples considered are a monopole antenna and a microstrip patch antenna. Comparing the electromagnetic fields with the progression of mechanical cycles demonstrate complex multi-physics relations in these applications.
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