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Andreas Eichhorn
Analysis of dynamic deformation processes with adaptive KALMAN-filtering
Keywords: Thermal deformations, bar-shaped machine elements, dynamic structural deformation model, identification, adaptive KALMAN-filtering
In this paper the approach of a full system
analysis is shown quantifying a dynamic structural
("white-box"-) model for the calculation of
thermal deformations of bar-shaped machine elements.
The task was motivated from mechanical engineering
searching new methods for the precise prediction
and computational compensation of thermal
influences in the heating and cooling phases of machine
tools (i.e. robot arms, etc.). The quantification
of thermal deformations under variable dynamic
loads requires the modelling of the non-stationary
spatial temperature distribution inside the object.
Based upon FOURIERS law of heat flow the high-grade
non-linear temperature gradient is represented by a
system of partial differential equations within the
framework of a dynamic Finite Element topology. It
is shown that adaptive KALMAN-filtering is suitable to
quantify relevant disturbance influences and to identify
thermal parameters (i.e. thermal diffusivity) with
a deviation of only 0,2%. As result an identified (and
verified) parametric model for the realistic prediction
respectively simulation of dynamic temperature processes
is presented. Classifying the thermal bend as
the main deformation quantity of bar-shaped machine
tools, the temperature model is extended to a
temperature deformation model. In lab tests thermal
load steps are applied to an aluminum column. Independent
control measurements show that the identified model can be used to predict the columns bend
with a mean deviation (
Journal of Applied Geodesy, Walter de Gruyter
Print ISSN: 1862-9016
Volume: 1, 05/2007
Pages: 9 - 15