|
|
|
|
LEADER |
01636 am a22001453u 4500 |
001 |
22071 |
042 |
|
|
|a dc
|
100 |
1 |
0 |
|a Karpov, E.G.
|e author
|
700 |
1 |
0 |
|a Dorofeev, D.L.
|e author
|
700 |
1 |
0 |
|a Stephen, N.G.
|e author
|
245 |
0 |
0 |
|a Characteristic solutions for the statics of repetitive beam-like trusses
|
260 |
|
|
|c 2002.
|
856 |
|
|
|z Get fulltext
|u https://eprints.soton.ac.uk/22071/1/karp_02.pdf
|
520 |
|
|
|a This paper concerns two major points: (1) decomposition of functional solutions for the static response of repetitive pin-jointed beam trusses under end loadings into spectrum of elementary function modes; and (2) a mathematical classification of the last. The governing finite difference equation of statics is written as a single matrix form by considering the stiffness matrix of a representative substructure. It is shown that its general solution can be spanned by only 2R individual modes, where R is the number of degrees of freedom for a typical nodal pattern inside the truss. These modes are divided into two primary classes: transfer and localised. A unique set of "canonical" transfer solutions is found by a method based on Jordan decomposition of the transfer matrix. Also, a technique of constructing transfer matrices for a wide class of trusses is presented. The canonical modes can be further subclassified as exponential, polynomial and quasi-polynomial. The complete set of 2R canonical transfer and localised modes uniquely represents the basic structural response behaviour, and gives a basis for the characteristic (non-harmonic) expansion of static solutions. Several illustrative examples are considered.
|
655 |
7 |
|
|a Article
|