Dynamic Stiffness and Eigenvalues of Nonlocal Nano-beams

Adhikari, S. and Murmu, T. (2014) Dynamic Stiffness and Eigenvalues of Nonlocal Nano-beams. In: Twelfth International Conference on Computational Structures Technology, Naples, Italy, 02-05 Sep 2014, p. 37. ISBN 9781905088614

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Abstract

Free and forced bending vibration of damped nonlocal beams are investigated in this paper. Two types of nonlocal damping models, namely, strain-rate-dependent viscous damping and velocity-dependent viscous damping are considered. A frequency dependent dynamic finite element method is developed to obtain the forced vibration response. Frequency-adaptive complex-valued shape functions are used for the derivation of the dynamic stiffness matrix. The stiffness and mass matrices of the nonlocal beam are also obtained using the conventional finite element method. Results from the dynamic finite element method and conventional finite element method are compared. The frequency response function obtained using the proposed dynamic finite element method shows high modal density in the higher frequency ranges.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Adhikari, Professor Sondipon
Authors: Adhikari, S., and Murmu, T.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Civil-Comp Proceedings
ISSN:1759-3433
ISBN:9781905088614
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