Transverse free vibration of rotating non-uniform euler-bernoulli beams using the adomian modified decomposition method

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

Abstract

The dynamic behavior of rotating beams, including rotor blades, spinning space structures and gas turbines is of great practical interest. A recent computation approach called the Adomian modified decomposition method (AMDM) is used to carry out the free transverse vibration analysis of rotating non-uniform Euler-Bernoulli beams using several boundary conditions, rotating speeds and beam lengths. The AMDM allows the governing differential equation to become a recursive algebraic equation and the boundary conditions become simple algebraic frequency equations suitable for symbolic computation. With additional simple mathematical operations on the model, the natural frequencies and corresponding closed-form series solution of the mode shape can be obtained simultaneously. For verification of the AMDM method, numerical examples are analyzed with boundary conditions imposed, including clamped-free, with attention given to convergence of the solutions. As the AMDM technique is systematic, it is found straight-forward to modify boundary conditions from one case to the next. Comparison of results is given with published data and it is found that the current results are in close agreement with those in the literature.

Original languageEnglish
Title of host publication55th Israel Annual Conference on Aerospace Sciences 2015
PublisherTechnion Israel Institute of Technology
Pages1135-1152
Number of pages18
Volume2
ISBN (Print)9781510802315
Publication statusPublished - 2015
Event55th Israel Annual Conference on Aerospace Sciences 2015 - Tel-Aviv and Haifa, Israel
Duration: Feb 25 2015Feb 26 2015

Other

Other55th Israel Annual Conference on Aerospace Sciences 2015
CountryIsrael
CityTel-Aviv and Haifa
Period2/25/152/26/15

Fingerprint

Euler-Bernoulli beams
free vibration
vibration
boundary condition
Boundary conditions
decomposition
boundary conditions
Decomposition
rotor blades
transverse oscillation
modal response
gas turbines
Vibration analysis
turbines
turbine
metal spinning
numerical method
Turbomachine blades
Gas turbines
resonant frequencies

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Adair, D. (2015). Transverse free vibration of rotating non-uniform euler-bernoulli beams using the adomian modified decomposition method. In 55th Israel Annual Conference on Aerospace Sciences 2015 (Vol. 2, pp. 1135-1152). Technion Israel Institute of Technology.

Transverse free vibration of rotating non-uniform euler-bernoulli beams using the adomian modified decomposition method. / Adair, Desmond.

55th Israel Annual Conference on Aerospace Sciences 2015. Vol. 2 Technion Israel Institute of Technology, 2015. p. 1135-1152.

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

Adair, D 2015, Transverse free vibration of rotating non-uniform euler-bernoulli beams using the adomian modified decomposition method. in 55th Israel Annual Conference on Aerospace Sciences 2015. vol. 2, Technion Israel Institute of Technology, pp. 1135-1152, 55th Israel Annual Conference on Aerospace Sciences 2015, Tel-Aviv and Haifa, Israel, 2/25/15.
Adair D. Transverse free vibration of rotating non-uniform euler-bernoulli beams using the adomian modified decomposition method. In 55th Israel Annual Conference on Aerospace Sciences 2015. Vol. 2. Technion Israel Institute of Technology. 2015. p. 1135-1152
Adair, Desmond. / Transverse free vibration of rotating non-uniform euler-bernoulli beams using the adomian modified decomposition method. 55th Israel Annual Conference on Aerospace Sciences 2015. Vol. 2 Technion Israel Institute of Technology, 2015. pp. 1135-1152
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