### Abstract

An inhomogeneous wave exponentially decaying in all directions may exist near the edge of a circular aperture if the mass and the moment of inertia are appropriately chosen (i.e., their values coincide with the critical ones). In this case, the solution to the diffraction problem is not unique. This paper inquires into the feasibility of the solution to the wave diffraction and radiation problem in the case of critical loading. The solution is constructed according to the procedure suggested in [2]. It is shown that the diffraction problem always has a solution while the radiation problem may have no solution. The effects related to the critical mass and the critical moment of inertia do not manifest themselves in the far field.

Original language | English |
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Pages (from-to) | 487-490 |

Number of pages | 4 |

Journal | Acoustical Physics |

Volume | 49 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 Sep 2003 |

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### Scopus subject areas

- Acoustics and Ultrasonics

### Cite this

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*Acoustical Physics*, vol. 49, no. 5, pp. 487-490. https://doi.org/10.1134/1.1608971

**Diffraction and Radiation of Flexural Waves by a Circular Aperture Loaded along the Edge.** / Andronov, I. V.

Research output

TY - JOUR

T1 - Diffraction and Radiation of Flexural Waves by a Circular Aperture Loaded along the Edge

AU - Andronov, I. V.

PY - 2003/9/1

Y1 - 2003/9/1

N2 - An inhomogeneous wave exponentially decaying in all directions may exist near the edge of a circular aperture if the mass and the moment of inertia are appropriately chosen (i.e., their values coincide with the critical ones). In this case, the solution to the diffraction problem is not unique. This paper inquires into the feasibility of the solution to the wave diffraction and radiation problem in the case of critical loading. The solution is constructed according to the procedure suggested in [2]. It is shown that the diffraction problem always has a solution while the radiation problem may have no solution. The effects related to the critical mass and the critical moment of inertia do not manifest themselves in the far field.

AB - An inhomogeneous wave exponentially decaying in all directions may exist near the edge of a circular aperture if the mass and the moment of inertia are appropriately chosen (i.e., their values coincide with the critical ones). In this case, the solution to the diffraction problem is not unique. This paper inquires into the feasibility of the solution to the wave diffraction and radiation problem in the case of critical loading. The solution is constructed according to the procedure suggested in [2]. It is shown that the diffraction problem always has a solution while the radiation problem may have no solution. The effects related to the critical mass and the critical moment of inertia do not manifest themselves in the far field.

UR - http://www.scopus.com/inward/record.url?scp=0142104219&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=13438956

U2 - 10.1134/1.1608971

DO - 10.1134/1.1608971

M3 - Article

AN - SCOPUS:0142104219

VL - 49

SP - 487

EP - 490

JO - Acoustical Physics

JF - Acoustical Physics

SN - 1063-7710

IS - 5

ER -