A measurement analysis on pretwist non-unform beams

Sen-Yung Lee, Ching Tien Wu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationProceedings of the Second International Symposium on Instrumentation Science and Technology
EditorsK.-C. Fan, F. Yetai, K-.C. Fan, F. Yetai
Publication statusPublished - 2002 Dec 1
EventProceedings of the International Symposium on Precision Mechanical Measurement - Hefei, China
Duration: 2002 Aug 112002 Aug 16

Publication series

NameProceedings of the Second International Symposium on Instrumentation Science and Technology

Other

OtherProceedings of the International Symposium on Precision Mechanical Measurement
CountryChina
CityHefei
Period02-08-1102-08-16

Fingerprint

Differential equations
Ordinary differential equations

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Lee, S-Y., & Wu, C. T. (2002). A measurement analysis on pretwist non-unform beams. In K-C. Fan, F. Yetai, K-C. Fan, & F. Yetai (Eds.), Proceedings of the Second International Symposium on Instrumentation Science and Technology (Proceedings of the Second International Symposium on Instrumentation Science and Technology).
Lee, Sen-Yung ; Wu, Ching Tien. / A measurement analysis on pretwist non-unform beams. Proceedings of the Second International Symposium on Instrumentation Science and Technology. editor / K.-C. Fan ; F. Yetai ; K-.C. Fan ; F. Yetai. 2002. (Proceedings of the Second International Symposium on Instrumentation Science and Technology).
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title = "A measurement analysis on pretwist non-unform beams",
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.",
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Lee, S-Y & Wu, CT 2002, A measurement analysis on pretwist non-unform beams. in K-C Fan, F Yetai, K-C Fan & F Yetai (eds), 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.

Proceedings of the Second International Symposium on Instrumentation Science and Technology. ed. / K.-C. Fan; F. Yetai; K-.C. Fan; F. Yetai. 2002. (Proceedings of the Second International Symposium on Instrumentation Science and Technology).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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.

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

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Lee S-Y, Wu CT. A measurement analysis on pretwist non-unform beams. In Fan K-C, Yetai F, Fan K-C, Yetai F, editors, Proceedings of the Second International Symposium on Instrumentation Science and Technology. 2002. (Proceedings of the Second International Symposium on Instrumentation Science and Technology).