On maximal eigenfrequency separation in two-material structures: the 1D and 2D scalar cases

By Jakob S. Jensen, N. L. Pedersen. 2006

221 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b7e73f96a1dc4d63fd29660a7fa257c62b02b340

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Optimum design of band-gap beam structures (2012, background): “…attention in recent years, see e.g. (Jensen, 2003; Sigmund and Jensen, 2003; Halkjær and Sigmund, 2004; Diaz et al., 2005; Hussein et al., 2006b; Halkjær et al., 2006; Jensen and Pedersen, 2006; Jensen, 2007a; Hussein et al., 2007; Du and Olhoff, 2007a,b; Larsen et al., 2009; Søe-Knudsen, 2011).”
Isogeometric Shape Optimization of Vibrating Membranes (2011, methodology): “[39] J.”
Topological design of freely vibrating continuum structures for maximum values of simple and multiple eigenfrequencies and frequency gaps (2007, background): “Recently, a generalized material model based on a polynomial interpolation was proposed by Jensen and Pedersen (2006), and it was shown how proper polynomials corresponding to different design objectives can be easily obtained.”
Minimization of sound radiation from vibrating bi-material structures using topology optimization (2007, background): “It is known that a pertinent value of the power q is 1 in design for the maximization of eigenfrequencies because the penalization of the ratio between stiffness and mass (representing the squared eigenfrequency) is the important aspect in such a topology design problem (Pedersen 2000; Jensen and Pe”
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 ”