Dynamic Green’s functions in discrete flexural systems

Summary The article presents an analysis of the dynamic behaviour discrete flexural systems composed Euler–Bernoulli beams. canonical object study is Green’s function, from which information regarding response lattice under point loading by forces and moments can be obtained. Special attention devoted to interaction between torsional waves in a square beams, shown yield range novel effects, including extreme anisotropy, asymmetric wave propagation, wave-guiding, filtering ability create localised defect modes, all without need for additional resonant elements or interfaces. analytical complimented numerical computations finite element simulations, both are used illustrate effects predicted. A general algorithm provided constructing functions as well modes. This allows tuning produce pass bands, band gaps, wave-guides over any desired frequency range.