SaintVenant decay rates for the rectangular cross section rod
Stephen, N.G. and Wang, P.J. (2004) SaintVenant decay rates for the rectangular cross section rod Journal of Applied Mechanics, 71, (3), pp. 429433. (doi:10.1115/1.1687794).
Download
Full text not available from this repository.
Description/Abstract
A finite elementtransfer matrix procedure developed for determination of SaintVenant decay rates of selfequilibrated loading at one end of a semiinfinite prismatic elastic rod of general cross section, which are the eigenvalues of a single repeating cell transfer matrix, is applied to the case of a rectangular cross section. First, a characteristic length of the rod is modelled within a finite element code; a superelement stiffness matrix relating force and displacement components at the master nodes at the ends of the length is then constructed, and its manipulation provides the transfer matrix, from which the eigenvalues and eigenvectors are determined. Over the range from plane stress to plane strain, which are the extremes of aspect ratio, there are always eigenmodes which decay slower than the generalized PapkovitchFadle modes, the latter being largely insensitive to aspect ratio. For compact cross sections, close to square, the slowest decay is for a mode having a distribution of axial displacement reminiscent of that associated with warping during torsion; for less compact cross sections, slowest decay is for a mode characterized by crosssectional bending, caused by selfequilibrated twisting moment.
Item Type:  Article  

Digital Object Identifier (DOI):  doi:10.1115/1.1687794  
ISSNs:  00218936 (print) 

Subjects:  
ePrint ID:  22914  
Date : 


Date Deposited:  23 Mar 2006  
Last Modified:  16 Apr 2017 22:48  
Further Information:  Google Scholar  
URI:  http://eprints.soton.ac.uk/id/eprint/22914 
Actions (login required)
View Item 