Research output: Contribution to journal › Article › peer-review
At the pointed cusp of a two-dimensional plate, a tip of small length h is broken off. By means of asymptotic analysis, a new effect of “wandering” of eigenfrequencies of longitudinal vibrations of the plate with the blunted cusp is found: as h → +0, the frequencies prove to be almost periodic functions in the logarithmic scale ln h; i.e., when the fragment length decreases, they chaotically move at a high speed O(h−1) along the real semi-axis (κ†, +∞), while κ† > 0 is the cutoff point of the continuous spectrum of the problem with an ideal cusp.
Original language | English |
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Pages (from-to) | 512-516 |
Number of pages | 5 |
Journal | Doklady Physics |
Volume | 62 |
Issue number | 11 |
DOIs | |
State | Published - 1 Nov 2017 |
ID: 75434794