Abstract
We report on numerical modelling of three-dimensional lattice structures designed to provide phononic bandgaps. The examined lattice structures rely on two distinct mechanisms for bandgap formation: the destructive interference of elastic waves and internal resonance. Further to the effect of lattice type on the development of phononic bandgaps, we also present the effect of volume fraction, which enables the designer to control the frequency range over which the bandgaps exist. The bandgaps were identified from dispersion curves obtained using a finite element wave propagation modelling technique that provides high computational efficiency and high wave modelling accuracy. We show that lattice structures employing internal resonance can provide transmissibility reduction of longitudinal waves of up to −103 dB. Paired with the manufacturing freedom and material choice of additive manufacturing, the examined lattice structures can be tailored for use in wide-ranging applications including machine design, isolation and support platforms, metrology frames, aerospace and automobile applications, and biomedical devices.
Highlights
The design freedom of additive manufacturing (AM) enables the production of complex structures with tailorable properties for various applications
BCCxyz we considered a range of volume fractions from
The corresponding ratios of strut diameter we considered a range of volume fractions from 5% to 30%
Summary
The design freedom of additive manufacturing (AM) enables the production of complex structures with tailorable properties for various applications. The high-mass approach ensures that the resonant frequency of the structure is higher than the operational frequency of the application of interest This does not restrict the propagation of elastic waves and, limits the extent of the achievable vibration isolation. Phononic BG structures are those in which elastic wave propagation is restricted at certain frequencies These have received considerable attention recently, mainly for their ability to provide enhanced vibration isolation compared to that resulting from conventional design approaches. ). The existence of multidimensional controllable mechanical performance of the examined lattice structures [34,37,38,43,44]; phononic BGs would add vibration isolation to the existing panoply of controllable enabling them to simultaneously fulfill various mechanical vibrational functions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
