Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation

Desmond Adair, Zhantileu Segizbayev, Xueyu Geng, Martin Jaeger

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

Abstract

A non-local Euler-Bernoulli nanobeam theory is used to calculate free vibrations for a beam resting on a Winkler/Pasternak-type elastic foundation. On using Hamilton's Principle, the nonlinear equation of motion, which includes terms for stretching of the neutral axis, is derived. The Adomian modified decomposition method is applied to solve the fourth-order governing equation. Investigations are made of the effects on the vibrations of the non-local parameter, the Winkler and Pasternak parameters, in addition to the effects of applying simple-simple and clamped-clamped boundary conditions.

Original languageEnglish
Title of host publicationNEMS 2018 - 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages181-184
Number of pages4
ISBN (Electronic)9781538652732
DOIs
Publication statusPublished - Dec 3 2018
Event13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems, NEMS 2018 - Singapore, Singapore
Duration: Apr 22 2018Apr 26 2018

Other

Other13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems, NEMS 2018
CountrySingapore
CitySingapore
Period4/22/184/26/18

Fingerprint

Nonlinear equations
Stretching
Equations of motion
Boundary conditions
Decomposition
vibration
free vibration
nonlinear equations
equations of motion
boundary conditions
decomposition

ASJC Scopus subject areas

  • Biomedical Engineering
  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Adair, D., Segizbayev, Z., Geng, X., & Jaeger, M. (2018). Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation. In NEMS 2018 - 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems (pp. 181-184). [8556885] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NEMS.2018.8556885

Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation. / Adair, Desmond; Segizbayev, Zhantileu; Geng, Xueyu; Jaeger, Martin.

NEMS 2018 - 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems. Institute of Electrical and Electronics Engineers Inc., 2018. p. 181-184 8556885.

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

Adair, D, Segizbayev, Z, Geng, X & Jaeger, M 2018, Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation. in NEMS 2018 - 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems., 8556885, Institute of Electrical and Electronics Engineers Inc., pp. 181-184, 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems, NEMS 2018, Singapore, Singapore, 4/22/18. https://doi.org/10.1109/NEMS.2018.8556885
Adair D, Segizbayev Z, Geng X, Jaeger M. Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation. In NEMS 2018 - 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems. Institute of Electrical and Electronics Engineers Inc. 2018. p. 181-184. 8556885 https://doi.org/10.1109/NEMS.2018.8556885
Adair, Desmond ; Segizbayev, Zhantileu ; Geng, Xueyu ; Jaeger, Martin. / Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation. NEMS 2018 - 13th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 181-184
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