Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes

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Level Set Based Structural Topology Optimization for Minimizing Frequency Response (2011, background): “More details about this modal reduction schemes can be found in [11,16].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “A number of works have investigated various frequency control problems including frequency maximization (Pedersen 2000; Du and Olhoff 2007b), including geometric nonlinearity (Yoon 2010a), the control of gaps between two frequencies (Du and Olhoff 2007b; Jensen and Pedersen 2006), and the tailoring ”
Isogeometric analysis for parameterized LSM-based structural topology optimization (2016, background): “During the past three decades, TO has been used principally for traditionalmechanics but its applications have been spreading to a wide range of other engineering domains such as fluids [16], heat transfer [24], vibration [41], electromagnetics [72] and”