Paper Title:
Natural Frequency Computation Method of Nonlocal Elastic Beam
  Abstract

After adopting the constitutive equations of the nonlocal elastic media in the form of Eringen, and making use of the Laplace transformation, the vibration governing equation of nonlocal elastic beam in the Kelvin media are established. Unlike classical elastic models, the stress of a point in a nonlocal model is obtained as a weighted average of the field over the spatial domain, determined by a kernel function based on distance measures. The motion equation of nonlocal elastic beam is an integral differential equation, rather than the differential equation obtained with a classical local model. Solutions for natural frequencies and modes are obtained. Numerical examples demonstrate the efficiency of the proposed method for the beam with simple boundary conditions.

  Info
Periodical
Advanced Materials Research (Volumes 156-157)
Edited by
Jingtao Han, Zhengyi Jiang and Sihai Jiao
Pages
1582-1585
DOI
10.4028/www.scientific.net/AMR.156-157.1582
Citation
X. L. Shen, Y. X. Luo, L. X. Zhang, H. Long, "Natural Frequency Computation Method of Nonlocal Elastic Beam", Advanced Materials Research, Vols. 156-157, pp. 1582-1585, 2011
Online since
October 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Shu Yuan Zhang, Yun Xin Wu
Abstract:A mathematical model has been developed to predict the residual stresses level in pre-stretched aluminum alloy plate. This is based on force...
3187
Authors: Wen Feng Tan
Abstract:By using of closed-form solution for predicting fatigue crack initiation life of a beam subjected to the transverse bending load in large...
1469
Authors: Jing Yan, Ya Wu Zeng, Rui Gao
Abstract:For the research of beam’s deformation, material mechanics uses equation of small deflection curve which neglects 1st...
6144
Authors: Yi Fei Yan
High-Speed/Precision Machining and Inspection Technology
Abstract:Abstract: The article presents the optimized design of the strains transducer elastic component with double cantilever beam. The calculation...
1746
Authors: Ali Soleimani
Chapter 22: Metrology and Measurement
Abstract:The equation of large deflection of functionally graded beam subjected to arbitrary loading condition is derived. In this work assumed that...
4705