Verified Solution for a Statically Determinate Truss Structure with Uncertain Node Locations  

作　　者：Andrew P. Smith Jurgen Garloff Horst Werkle 

机构地区：[1]Faculty of Computer Science, University of Applied Sciences/HTWG Konstanz, Konstanz D 78405, Germany [2]Faculty of Civil Engineering, University of Applied Seiences/HTWG Konstanz, Konstanz D 78405, Germany

出　　处：《Journal of Civil Engineering and Architecture》2010年第11期1-10,共10页土木工程与建筑（英文版）

摘　　要：We consider a statically determinate structural truss problem where all of the physical model parameters are uncertain： not just the material values and applied loads, but also the positions of the nodes are assumed to be inexact but bounded and are represented by intervals. Such uncertainty may typically arise from imprecision during the process of manufacturing or construction, or round-off errors. In this case the application of the finite element method results in a system of linear equations with numerous interval parameters which cannot be solved conventionally. Applying a suitable variable substitution, an iteration method for the solution of a parametric system of linear equations is firstly employed to obtain initial bounds on the node displacements. Thereafter, an interval tightening （pruning） technique is applied, firstly on the element forces and secondly on the node displacements, in order to obtain tight guaranteed enclosures for the interval solutions for the forces and displacements.

关 键 词：Truss systems finite element method uncertain parameters interval arithmetic. 

分 类 号：O241.6[理学—计算数学] P208[理学—数学]