..., and distribution along the frequency spectrum. While these bandgaps are commonly predicted from benchmark tools such as the Bloch-wave theory, the conditions that dictate the patterns associated with bandgap symmetry, attenuation, or even closing in multi-bandgap PnCs remain an enigma. In this work, we establish...

... of static equilibrium equations along with the boundary conditions necessary for analytical/numerical solution of the aforementioned deformation problem. A variational approach to solve the relevant boundary value problem is also presented. Later we use symmetry arguments to derive invariants...

... final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 21 Sept 1999 02 May 2000 dynamics symmetry numerical analysis damping eigenvalues and eigenfunctions classical mechanics Theory of linear dynamics of multiple parameter symmetric systems...