A frequency-domain reduced order model for joints by hyper-reduction and model-driven sampling

The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictive design purposes, macro-scale High Fidelity Models (HFMs) the contact interfaces are required. However, high computational cost such HFMs impedes feasibility simulations. this end, we propose a model-driven method constructing hyper-reduced order models assemblies. Focusing on steady-state analysis, use Multi-Harmonic Balance Method (MHBM) to formulate equations motion in frequency domain. reduction basis is constructed through solving set vibration problems corresponding fictitious interface conditions. Subsequently, Galerkin projection reduces model. Nonetheless, evaluating nonlinear forces prohibitively expensive given necessary fineness discretization interfaces. For reason, implement an adapted Energy Conserving Weighing Sampling (ECSW) technique Hyper Reduction (HR), by which frictional evaluated substantially smaller weighted elements, thereby allowing significant speedups meshes arbitrary fineness. This feature particularly advantageous since analysts typically encounter trade-off between accuracy when deciding mesh size, whose estimation challenging type. assess our without resorting HFM solution, error indicator with thresholds that have proven reliable analyses. Finally, efficiency demonstrated two case studies.