Maxwell Damping: An Alternative to Rayleigh Damping
Publication: Geo-Extreme 2021
ABSTRACT
Rayleigh damping is widely used to approximate frequency independent damping in time-domain seismic deformation analyses. Unfortunately, Rayleigh damping has serious drawbacks: it typically requires a drastically reduced numerical time step; it introduces spurious body forces for motion at a constant velocity; and the frequency range of approximately constant damping is quite narrow, with damping increasing rapidly outside of this range. An improved form of damping can be developed by replacing the dashpot of stiffness damping, with one or more Maxwell components (a spring in series with a dashpot). We describe here the numerical implementation of a Maxwell damping scheme for the geotechnical modeling program FLAC3D. Relations are derived for the complex stiffness, damping and phase velocity as functions of frequency. The performance and accuracy of the Maxwell damping scheme is illustrated for various wave-propagation problems.
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Geo-Extreme 2021
Pages: 34 - 45
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© 2021 American Society of Civil Engineers.
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Published online: Nov 4, 2021
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