## Abstract

The dynamic response of a non-uniform beam with time dependent elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained non-uniform beams given by Lee and Kuo. The time dependent elastic boundary conditions for the beam are formulated. A general form of change of dependent variable is introduced and the shifting polynomials of the third order degree, instead of the fifth order degree polynomials taken by Mindlin-Goodman, are selected. The physical meaning of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and several examples are given to illustrate the analysis.

Original language | English |
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Title of host publication | 15th Biennial Conference on Mechanical Vibration and Noise |

Editors | S.C. Sinha, J.P. Cusumano, F. Pfeiffer, A.K. Bajaj, R.A. Ibrahim, al et al |

Pages | 431-436 |

Number of pages | 6 |

Volume | 84 |

Edition | 3 Pt A/1 |

Publication status | Published - 1995 |

Event | Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 - Boston, MA, USA Duration: 1995 Sep 17 → 1995 Sep 20 |

### Other

Other | Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 |
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City | Boston, MA, USA |

Period | 95-09-17 → 95-09-20 |

## All Science Journal Classification (ASJC) codes

- Engineering(all)