Maximizing band gaps in plate structures

By Søren Halkjær, Ole Sigmund, Jakob S. Jensen. 2006

184 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Biomedical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6719be5f017ebfd5057b6a3ba07ddca02b41f42d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Yong Xiao
2. Jihong Wen
3. Xisen Wen
4. N. J. Gerard
5. Yun Jing
6. Yuanchen Deng
7. G. Wang
8. Ramana V. Grandhi

In Biomedical Engineering

1. Yong Xiao
2. Jihong Wen
3. Xisen Wen
4. G. Wang
5. N. Olhoff
6. Jianbin Du
7. N. J. Gerard
8. Yun Jing

In Mechanics of Materials

1. Ramana V. Grandhi
2. Joshua D. Deaton
3. Gengdong Cheng
4. N. Olhoff
5. Jianbin Du
6. Ole Sigmund
7. Bin Niu
8. Xisen Wen

Citations in the corpus

• Theoretical and Experimental Study of Locally Resonant and Bragg Band Gaps in Flexural Beams Carrying Periodic Arrays of Beam-Like Resonators (2013, methodology): “To achieve broadband band gaps, a proven method is using topology optimization techniques to maximize band gap sizes [19–24].”
• Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, methodology): “triangulate lattice of triangular holes [222].”
• A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Density-based topology optimization has also recently seen applications in wave propagation problems beginning with Sigmund and Jensen (2003) and Halkjaer et al. (2006), who maximized the bandwidth of phononic band-gap materials and structures.”
• Systematic Design of Metamaterials by Topology Optimization (2009, methodology): “The topology optimization method can be applied to such problems by substituting the static homogenization procedure by eigenvalue analyses based on Floquet‐Bloch wave theory as described in several publications [4, 5, 10, 11 , 19, 20].”
• 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,…”
• Minimization of sound radiation from vibrating bi-material structures using topology optimization (2007, background): “Maximization of intrinsic properties of the structures like fundamental and higher order eigenfrequencies, gaps between two consecutive eigenfrequencies, and phononic band gaps (see, e.g., Diaz and Kikuchi 1992; Bendsøe and Diaz 1994; Kosaka and Swan 1999; Krog and Olhoff 1999; Pedersen 2000; Sigmun”