### Abstract

The problem of the flexural vibrations of two semi-infinite elastic plates connected along a section of the boundary (the joint) that is short compared with the wavelength of the incident wave, is considered. The problem is reduced to solving integral equations on the section. The use of Green's formula leads to an integral equation with a smooth kernel, the solution of which is a function with singularities of order - 32 at the ends of the section. Regularization of this integral equation is carried out. The asymptotic form of the far field over the dimensionless length of the joint is found.

Original language | English |
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Pages (from-to) | 867-877 |

Number of pages | 11 |

Journal | Journal of Applied Mathematics and Mechanics |

Volume | 65 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1 Dec 2001 |

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### Scopus subject areas

- Mechanical Engineering
- Applied Mathematics

### Cite this

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**Diffraction of a flexural wave by a short joint of semi-infinite elastic plates.** / Andronov, I. V.

Research output

TY - JOUR

T1 - Diffraction of a flexural wave by a short joint of semi-infinite elastic plates

AU - Andronov, I. V.

PY - 2001/12/1

Y1 - 2001/12/1

N2 - The problem of the flexural vibrations of two semi-infinite elastic plates connected along a section of the boundary (the joint) that is short compared with the wavelength of the incident wave, is considered. The problem is reduced to solving integral equations on the section. The use of Green's formula leads to an integral equation with a smooth kernel, the solution of which is a function with singularities of order - 32 at the ends of the section. Regularization of this integral equation is carried out. The asymptotic form of the far field over the dimensionless length of the joint is found.

AB - The problem of the flexural vibrations of two semi-infinite elastic plates connected along a section of the boundary (the joint) that is short compared with the wavelength of the incident wave, is considered. The problem is reduced to solving integral equations on the section. The use of Green's formula leads to an integral equation with a smooth kernel, the solution of which is a function with singularities of order - 32 at the ends of the section. Regularization of this integral equation is carried out. The asymptotic form of the far field over the dimensionless length of the joint is found.

UR - http://www.scopus.com/inward/record.url?scp=0347572188&partnerID=8YFLogxK

U2 - 10.1016/S0021-8928(01)00092-2

DO - 10.1016/S0021-8928(01)00092-2

M3 - Article

AN - SCOPUS:0347572188

VL - 65

SP - 867

EP - 877

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 5

ER -