### Abstract

The governing characteristic differential equations for the bending vibrations of pretwisted beams are two coupled differential equations with variable coefficients. In the past, the exact solutions of the system have never been found and the problems were mainly studied by approximated methods. In this paper, the explicit relations between the two flexural displacements are derived. With these explicit relations, the two coupled governing characteristic differential equations can be decoupled and reduced to a sixth-order ordinary differential equation with variable coefficients in one flexural displacement. The derived explicit relations can also be used to reduce the difficulty in experimental measurement.

Original language | English |
---|---|

Title of host publication | Proceedings of the Second International Symposium on Instrumentation Science and Technology |

Editors | K.-C. Fan, F. Yetai, K-.C. Fan, F. Yetai |

Publication status | Published - 2002 Dec 1 |

Event | Proceedings of the International Symposium on Precision Mechanical Measurement - Hefei, China Duration: 2002 Aug 11 → 2002 Aug 16 |

### Publication series

Name | Proceedings of the Second International Symposium on Instrumentation Science and Technology |
---|

### Other

Other | Proceedings of the International Symposium on Precision Mechanical Measurement |
---|---|

Country | China |

City | Hefei |

Period | 02-08-11 → 02-08-16 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Proceedings of the Second International Symposium on Instrumentation Science and Technology*(Proceedings of the Second International Symposium on Instrumentation Science and Technology).

}

*Proceedings of the Second International Symposium on Instrumentation Science and Technology.*Proceedings of the Second International Symposium on Instrumentation Science and Technology, Proceedings of the International Symposium on Precision Mechanical Measurement, Hefei, China, 02-08-11.

**A measurement analysis on pretwist non-unform beams.** / Lee, Sen-Yung; Wu, Ching Tien.

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

TY - GEN

T1 - A measurement analysis on pretwist non-unform beams

AU - Lee, Sen-Yung

AU - Wu, Ching Tien

PY - 2002/12/1

Y1 - 2002/12/1

N2 - The governing characteristic differential equations for the bending vibrations of pretwisted beams are two coupled differential equations with variable coefficients. In the past, the exact solutions of the system have never been found and the problems were mainly studied by approximated methods. In this paper, the explicit relations between the two flexural displacements are derived. With these explicit relations, the two coupled governing characteristic differential equations can be decoupled and reduced to a sixth-order ordinary differential equation with variable coefficients in one flexural displacement. The derived explicit relations can also be used to reduce the difficulty in experimental measurement.

AB - The governing characteristic differential equations for the bending vibrations of pretwisted beams are two coupled differential equations with variable coefficients. In the past, the exact solutions of the system have never been found and the problems were mainly studied by approximated methods. In this paper, the explicit relations between the two flexural displacements are derived. With these explicit relations, the two coupled governing characteristic differential equations can be decoupled and reduced to a sixth-order ordinary differential equation with variable coefficients in one flexural displacement. The derived explicit relations can also be used to reduce the difficulty in experimental measurement.

UR - http://www.scopus.com/inward/record.url?scp=0141650384&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0141650384&partnerID=8YFLogxK

M3 - Conference contribution

SN - 7560317685

T3 - Proceedings of the Second International Symposium on Instrumentation Science and Technology

BT - Proceedings of the Second International Symposium on Instrumentation Science and Technology

A2 - Fan, K.-C.

A2 - Yetai, F.

A2 - Fan, K-.C.

A2 - Yetai, F.

ER -