https://doi.org/10.1140/epjp/s13360-022-03435-7
Regular Article
On bifurcation of guided wave in functionally graded plates
1
Moscow State University of Civil Engineering, Moscow, Russia
2
Bauman Moscow State Technical University, Moscow, Russia
Received:
6
July
2022
Accepted:
26
October
2022
Published online:
31
October
2022
It is revealed that the dispersion portraits of guided waves propagating in functionally graded isotropic plates with an acoustically softer internal layer may exhibit double crossing of the fundamental branches, which may lead to a kind of intrinsic instability associated with the bifurcation of the corresponding waves. The analysis is based on the modified Cauchy sextic formalism coupled with the exponential matrix method.
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