On a Novel Class of Selective Mass Scaling Methods for Explicit Dynamics of Thin Continua
Please login to view abstract download link
The critical time step size in explicit dynamics depends on the highest frequency of the discrete system. For thin-walled structures being discretized by solid or solid-shell elements, the critical time step size is typically limited by the highest frequencies related to thickness stretch of the elements [1]. Selective mass scaling (SMS) concepts aim at increasing the overall computational efficiency by scaling down the highest frequencies, while retaining the low frequencies as good as possible. Most SMS concepts from literature are designed for solid or solid-shell elements, as can be seen in [1,2], among others. As a basic requirement, these SMS methods preserve translational inertia. Preservation of rotational inertia comes along which increased accuracy but also with additional computational costs, which may not pay off in particular applications. In this contribution, we present recent investigations on a novel class of SMS methods, which naturally preserve both translational and rotational inertia, as shown in [3]. Furthermore, we compare several different members of this novel class of SMS methods with respect to accuracy, generality and robustness for both regular and distorted meshes.
