Finite Element Formulation for the Vibration Analysis of Couple-Stress Continuum

Wen Zheng Su

doi:10.4028/www.scientific.net/AMM.367.156

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 367Finite Element Formulation for the Vibration...

Finite Element Formulation for the Vibration Analysis of Couple-Stress Continuum

Abstract:

This paper proposed a finite element formulation to analysis the vibration of couple-stress continuum. A four-node discrete couple-stress element relaxed the requirement of C₁ continuity is developed. This element is modified by a bubble function, based on the classical four-ode Lagrange element. The element includes the internal bending constants and the internal initial moment of rotation. Numerical examples show that the present FE scheme is accurate for the eigenvalue analysis of couple-stress continuum structures, especially for the low order frequency analysis.

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Periodical:

Applied Mechanics and Materials (Volume 367)

Pages:

156-160

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.367.156

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Online since:

August 2013

Authors:

Wen Zheng Su

Keywords:

C1 Continuity, Characteristic Length, Couple-Stress, Finite Element, Solid Mechanics

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