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Linking evaluation of subjective tire tests on the road with objectively measured data
Technical Paper
2000-05-0279
Sector:
Language:
English
Abstract
Measurements of the initial values lead to an inverse and
mathematically unprecisely formulated problem. A precise definition
of an inverse problem is possible. It is to state a mathematical
model of a physical process with clearly defined initial and exit
values for the system behind the process. One can grasp the idea of
an inverse problem by considering the tire as a copy of the objects
of nature in a room with observations. Interpretation of nature is
generally a result of an inverse problem. On one hand, the tire may
be represented through the sensory organs and the nervous system as
well as the experiences of the developer''s existing
apparatus of the projection of reality. On the other hand, it may
be represented by a physical law or a model that can be confirmed
or is to be refuted with teh help of suitable measurements. During
reconstruction of a measuring signal and the identification of a
black box that can be assumed to be linear and causal, the tire
becomes a first type Volterra integral equation of the convolution
type.
But measurements of the initial values are always fuzzy, the
errors grow and the system behavior can no longer be forecasted.
Thus, we have to deal with a chaotic system. This chaos produces
fractals in a natural way. These are self- similar geometric
structures. This self-similarity is clearly visible in the
design.