### 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 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*15th Biennial Conference on Mechanical Vibration and Noise*(3 Pt A/1 ed., Vol. 84, pp. 431-436)

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*15th Biennial Conference on Mechanical Vibration and Noise.*3 Pt A/1 edn, vol. 84, pp. 431-436, Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, 95-09-17.

**Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions.** / Lee, Sen-Yung; Lin, S. M.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Dynamic analysis of non-uniform beams with time dependent elastic boundary conditions

AU - Lee, Sen-Yung

AU - Lin, S. M.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0029431447&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029431447&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0029431447

VL - 84

SP - 431

EP - 436

BT - 15th Biennial Conference on Mechanical Vibration and Noise

A2 - Sinha, S.C.

A2 - Cusumano, J.P.

A2 - Pfeiffer, F.

A2 - Bajaj, A.K.

A2 - Ibrahim, R.A.

A2 - et al, al

ER -