Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass

Arnoldo Garcia; Arnold Lumsdaine; Ylng X. Yao

doi:10.1115/IMECE2000-1635

Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass

Arnoldo Garcia, Arnold Lumsdaine, Ylng X. Yao

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

Abstract

Many studies have been performed to analyze the natural frequency of beams undergoing both flexural and torsional loading. For example, Adam (1999) analyzed a beam with open cross-sections under forced vibration. Although the exact natural frequency equation is available in literature (Lumsdaine et al), to the authors' knowledge, a beam with an intermediate mass and support has not been considered. The models are then compared with an approximate closed form solution for the natural frequency. The closed form equation is developed using energy methods. Results show that the closed form equation is within 2% percent when compared to the transcendental natural frequency equation.

Original language	English
Title of host publication	Noise Control and Acoustics
Publisher	American Society of Mechanical Engineers (ASME)
Pages	461-469
Number of pages	9
ISBN (Electronic)	9780791819098
DOIs	https://doi.org/10.1115/IMECE2000-1635
State	Published - 2000
Externally published	Yes
Event	ASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000 - Orlando, United States Duration: Nov 5 2000 → Nov 10 2000

Publication series

Name	ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume	2000-AC

Conference

Conference	ASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000
Country/Territory	United States
City	Orlando
Period	11/5/00 → 11/10/00

Access to Document

10.1115/IMECE2000-1635

Cite this

Garcia, A., Lumsdaine, A., & Yao, Y. X. (2000). Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass. In Noise Control and Acoustics (pp. 461-469). (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 2000-AC). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2000-1635

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title = "Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass",

abstract = "Many studies have been performed to analyze the natural frequency of beams undergoing both flexural and torsional loading. For example, Adam (1999) analyzed a beam with open cross-sections under forced vibration. Although the exact natural frequency equation is available in literature (Lumsdaine et al), to the authors' knowledge, a beam with an intermediate mass and support has not been considered. The models are then compared with an approximate closed form solution for the natural frequency. The closed form equation is developed using energy methods. Results show that the closed form equation is within 2% percent when compared to the transcendental natural frequency equation.",

author = "Arnoldo Garcia and Arnold Lumsdaine and Yao, {Ylng X.}",

note = "Publisher Copyright: {\textcopyright} 2000 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000 ; Conference date: 05-11-2000 Through 10-11-2000",

year = "2000",

doi = "10.1115/IMECE2000-1635",

language = "English",

series = "ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)",

publisher = "American Society of Mechanical Engineers (ASME)",

pages = "461--469",

booktitle = "Noise Control and Acoustics",

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Garcia, A, Lumsdaine, A & Yao, YX 2000, Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass. in Noise Control and Acoustics. ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), vol. 2000-AC, American Society of Mechanical Engineers (ASME), pp. 461-469, ASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000, Orlando, United States, 11/5/00. https://doi.org/10.1115/IMECE2000-1635

Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass. / Garcia, Arnoldo; Lumsdaine, Arnold; Yao, Ylng X.
Noise Control and Acoustics. American Society of Mechanical Engineers (ASME), 2000. p. 461-469 (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 2000-AC).

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

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AU - Lumsdaine, Arnold

AU - Yao, Ylng X.

PY - 2000

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N2 - Many studies have been performed to analyze the natural frequency of beams undergoing both flexural and torsional loading. For example, Adam (1999) analyzed a beam with open cross-sections under forced vibration. Although the exact natural frequency equation is available in literature (Lumsdaine et al), to the authors' knowledge, a beam with an intermediate mass and support has not been considered. The models are then compared with an approximate closed form solution for the natural frequency. The closed form equation is developed using energy methods. Results show that the closed form equation is within 2% percent when compared to the transcendental natural frequency equation.

AB - Many studies have been performed to analyze the natural frequency of beams undergoing both flexural and torsional loading. For example, Adam (1999) analyzed a beam with open cross-sections under forced vibration. Although the exact natural frequency equation is available in literature (Lumsdaine et al), to the authors' knowledge, a beam with an intermediate mass and support has not been considered. The models are then compared with an approximate closed form solution for the natural frequency. The closed form equation is developed using energy methods. Results show that the closed form equation is within 2% percent when compared to the transcendental natural frequency equation.

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PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2000 International Mechanical Engineering Congress and Exposition, IMECE 2000

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ER -

Comparison of static and dynamic stiffness for beams undergoing flexural and torsional loading with an intermediate mass

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