Temperature Identification Based On Pointwise
Transient Measurements
Author(s)
A. Nassiopoulos & F. Bourquin
Abstract
The inverse problem of temperature identification based on discrete transient measurements
is considered. An iterative procedure combining the conjugate gradient
algorithm with Tikhonov regularization is used to determine unknown boundary
heat fluxes. We show numerically and theoretically that the choice of an H1-type
space for the minimization gives much better results than a L2-type one. A dual
formulation of the problem coupled with a model reduction method is used to
construct a fast and accurate algorithm suited for real time computations in the
three-dimensional case.
Keywords: temperature reconstruction, inverse heat conduction, optimal control
theory, adjoint method.
1 Introduction
Various methods for damage detection and structural health monitoring exist.
Among them, the output-only techniques consist in identifying the low frequency
spectrum of a given structure in order to detect modifications with respect to the
non-damaged reference state. However, in civil engineering, thermal loading due
to environmental factors induces mechanical stress on structures and can cause
eigenfrequency shifts of much larger order of magnitude than those caused by
structural damage [1]. Thus, the knowledge of the exact thermal state of a given
structure and its effects on vibrational properties appears as a bottleneck in this
field [2].
The need for temperature identification arises from the partial information on
the thermal state of a structure one can get. The most commonly used temperature
sensors can only provide local or pointwise measurements. In addition, some parts
of a structure can simply be inaccessible to direct measurements. This is the case
Keywords
temperature reconstruction, inverse heat conduction, optimal control
theory, adjoint method.
Related Book
Other papers in this volume
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