## Abstract

The inverse problem of finding the form of the attachment of one of the ends of a rod, which is inaccessible to direct observation, from the natural frequencies of its flexural oscillations is considered. A theorem on the uniqueness of the solution of this inverse problem is proved and a method for establishing the unknown boundary conditions is indicated. An approximate formula for determining the boundary conditions is obtained using a finite set of natural frequencies (it is assumed that these natural frequencies can also be specified approximately with a certain degree of accuracy). The use of just the first non-zero natural frequencies is found to be essential here.

Original language | English |
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Pages (from-to) | 283-290 |

Number of pages | 8 |

Journal | Journal of Applied Mathematics and Mechanics |

Volume | 65 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2001 |

Externally published | Yes |