Nonlocal Dynamic Model of Doubly Clamped Initially Tensioned Beams Accounting for Small Size Effects

Cheng Li; Wei Guo Huang

doi:10.4028/www.scientific.net/AMR.446-449.829

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 446-449Nonlocal Dynamic Model of Doubly Clamped Initially...

Nonlocal Dynamic Model of Doubly Clamped Initially Tensioned Beams Accounting for Small Size Effects

Abstract:

Transverse vibration of an Euler-Bernoulli beam with initial axial force is investigated based on nonlocal continuum mechanics. The size effect is considered and a small intrinsic length scale is adopted into the problem model. The linear partial differential equation governing transverse motion is derived. The model is solved for a doubly clamped beam. Expression of natural frequency is obtained. The correlations between the first two order natural frequencies and the small size parameter are also presented and discussed. The bending stiffness and small size effect are proved to play significant roles in dynamic behaviors of nonlocal beams.

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Periodical:

Advanced Materials Research (Volumes 446-449)

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829-832

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.446-449.829

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Online since:

January 2012

Authors:

Cheng Li, Wei Guo Huang

Keywords:

Boundary Condition, Natural Frequency, Nonlocal Continuum Theory, Small Size Effect

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