|
Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates
S. A. Nazarov Institute of Problems of Mechanical Engineering, St. Petersburg, Russia
Abstract:
We show that near periodic rivet chains that connect two Kirchhoff plates and are modeled by point Sobolev transmission conditions, Rayleigh waves arise, propagate along the chains, and decay exponentially in the orthogonal direction. Under additional geometric conditions we discover the standing (periodic) waves that carry no energy.
Keywords:
Kirchhoff plate, biharmonic equation, pointwise Sobolev conditions, small fasteners, Rayleigh waves, point spectrum.
Received: 26.05.2021 Revised: 27.09.2021 Accepted: 11.10.2021
Citation:
S. A. Nazarov, “Propagating and standing Rayleigh waves near rivet chains connecting Kirchhoff plates”, Sibirsk. Mat. Zh., 62:6 (2021), 1339–1356; Siberian Math. J., 62:6 (2021), 1084–1099
Linking options:
https://www.mathnet.ru/eng/smj7632 https://www.mathnet.ru/eng/smj/v62/i6/p1339
|
Statistics & downloads: |
Abstract page: | 243 | Full-text PDF : | 56 | References: | 65 | First page: | 9 |
|