Finite-element based perturbation analysis of wave propagation in nonlinear periodic structures

• Published in: Mechanical systems and signal processing Vol. 39; no. 1-2; pp. 32 - 46
• Main Authors: Manktelow, Kevin, Narisetti, Raj K., Leamy, Michael J., Ruzzene, Massimo
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2013
• Subjects: Computer programs; Dispersions; Finite element method; Mathematical analysis; Nonlinear dispersion; Nonlinear metamaterial; Nonlinearity; Periodic structure; Periodic structures; Phononic crystal; Tunable system; Unit cell; Wave propagation; Nonlinear metamaterial; Phononic crystal; Wave propagation; Tunable system; Nonlinear dispersion; Periodic structure

Wave propagation in continuous, periodic structures subject to weak nonlinearities is studied using a finite-element discretization of a single unit cell followed by a perturbation analysis. The dispersion analysis is integrated with commercial finite-element analysis (FEA) software to expedite nonl...