Inconsistent dimensions for damping constants in AnalyticalLinearDamper #354
Labels
bug
Something isn't working
discussion
Topic that needs to be discussed.
prio:high
Priority level: high
The linear viscous damping forces and torques within the linear and angular momentum equations are given as follows (Gazzola 2018):
$$\mathbf{f}_v =-\gamma_t \mathbf{v}, ~~~~~~~~ \mathbf{c}_L^v = -\gamma_r \mathbf{\omega}_L $$ $\gamma_t$ and $\gamma_r$ can be set to equal. This statement is not strictly correct as they are dimensionally inconsistent:
$$[\gamma_t] = FL^{-1}T, ~~~~~~~ [\gamma_r] = FLT$$
where the paper claims that the damping coefficients
The analytical linear damper assumes an eigenvalue problem with respect to the damping force, where the damped translational and angular velocities are respectively
$$v_{\text{damped}} = v_0 \exp \left(-\frac{\gamma_t}{m}t\right), ~~~~~~~ \omega_{\text{damped}} = \omega_0 \exp \left(-\frac{\gamma_r e}{J}t\right)$$ $\gamma = \gamma_t = \gamma_r$ , and the input $\gamma / m$ where $m$ is the nodal / elemental mass. This includes a dimensional inconsistency and incurs problems in non-dimensional analysis.
Current implementation assumes
damping_constant
corresponds toTwo possible remedies are proposed:
The original implementation should be retained for the moment and possibly removed in a future update. If removal is expected, usage of the original approach should emit a deprecation warning.
The text was updated successfully, but these errors were encountered: