Development of an analytical model for beams with two dimples in opposing direction

Mofareh Ghazwani, Kyle R. Myers, Koorosh Naghshineh

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

1 Citation (Scopus)

Abstract

Structures such as beams and plates can produce unwanted noise and vibration. An emerging technique can reduce noise and vibration without any additional weight or cost. This method focuses on creating two dimples in the same and opposite direction on a beam's surface where the effect of dimples on its natural frequencies is the problem of interest. The change in the natural frequency between both cases have a different trend. The strategic approach to calculate natural frequencies is as follows: first, a boundary value model (BVM) is developed for a beam with two dimples and subject to various boundary conditions using Hamilton's Variational Principle. Differential equations describing the motion of each segment are presented. Beam natural frequencies and mode shapes are obtained using a numerical solution of the differential equations. A finite element method (FEM) is used to model the dimpled beam and verify the natural frequencies of the BVM. Both methods are also validated experimentally. The experimental results show a good agreement with the BVM and FEM results. A fixed-fixed beam with two dimples in the same and opposite direction is considered as an example in order to compute its natural frequencies and mode shapes. The effect of dimple locations and angles on the natural frequencies are investigated. The natural frequencies of each case represent a greater sensitivity to change in dimple angle for dimples placed at high modal strain energy regions of a uniform beam.

Original languageEnglish (US)
Title of host publicationAcoustics, Vibration and Phononics
PublisherAmerican Society of Mechanical Engineers (ASME)
Volume13
ISBN (Electronic)9780791858486
DOIs
StatePublished - Jan 1 2017
EventASME 2017 International Mechanical Engineering Congress and Exposition, IMECE 2017 - Tampa, United States
Duration: Nov 3 2017Nov 9 2017

Other

OtherASME 2017 International Mechanical Engineering Congress and Exposition, IMECE 2017
CountryUnited States
CityTampa
Period11/3/1711/9/17

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Analytical models
Natural frequencies
Differential equations
Finite element method
Strain energy
Boundary conditions
Costs

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Ghazwani, M., Myers, K. R., & Naghshineh, K. (2017). Development of an analytical model for beams with two dimples in opposing direction. In Acoustics, Vibration and Phononics (Vol. 13). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2017-70631
Ghazwani, Mofareh ; Myers, Kyle R. ; Naghshineh, Koorosh. / Development of an analytical model for beams with two dimples in opposing direction. Acoustics, Vibration and Phononics. Vol. 13 American Society of Mechanical Engineers (ASME), 2017.
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Ghazwani, M, Myers, KR & Naghshineh, K 2017, Development of an analytical model for beams with two dimples in opposing direction. in Acoustics, Vibration and Phononics. vol. 13, American Society of Mechanical Engineers (ASME), ASME 2017 International Mechanical Engineering Congress and Exposition, IMECE 2017, Tampa, United States, 11/3/17. https://doi.org/10.1115/IMECE2017-70631

Development of an analytical model for beams with two dimples in opposing direction. / Ghazwani, Mofareh; Myers, Kyle R.; Naghshineh, Koorosh.

Acoustics, Vibration and Phononics. Vol. 13 American Society of Mechanical Engineers (ASME), 2017.

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

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Ghazwani M, Myers KR, Naghshineh K. Development of an analytical model for beams with two dimples in opposing direction. In Acoustics, Vibration and Phononics. Vol. 13. American Society of Mechanical Engineers (ASME). 2017 https://doi.org/10.1115/IMECE2017-70631