Mac-based mode-tracking in structural topology optimization

By Taesoo Kim, Yoon Young Kim. 2000

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The global modal parameterization for non‐linear model‐order reduction in flexible multibody dynamics (2007, methodology): “From this germ, it gradually progresses in the whole configuration space h, but the eigenmodes are then sorted and selected according to a mode tracking strategy, as suggested by Kim and Kim [38].”
Level Set Based Structural Topology Optimization for Minimizing Frequency Response (2011, background): “In the past decades, the structural shape and topology optimization has been studied to solve a wide range of dynamic design problems, such as the fundamental eigenfrequency maximizing problem [5–7], the distance of adjacent eigenfrequency maximizing problem [8,9], the specified eigenfrequencies and”
An Online Method for Interpolating Linear Parametric Reduced-Order Models (2011, methodology): “In references [33] and [34], the authors exploited the matrix MAC ( V(μl),V(μl0) ) in order to address the impact of mode crossing on their applications.”
Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes (2006, methodology): “On the other hand, several mode-tracking methods have been proposed for identifying individual eigenmode shapes [37, 38], among them, the MAC (modal assurance criterion) value used in topology optimization by Kim and Kim [38].”