t02 Models Neckar yarn

8/3/2019 t02 Models Neckar yarn

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Bohuslav Neck, TU Liberec, Dept. of Textile Structures

AN INTRODUCTION TO THE MODELS SPECIFIC TO TEXTILES

AN INTRODUCTION TOAN INTRODUCTION TO

THE MODELSTHE MODELS

SPECIFIC TO TEXTILESSPECIFIC TO TEXTILES


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AMODELis usually an object of different nature, which behaves to

a certain degree and to a given sense in the samemanner as the original.

CLASSIFICATION OF MODELS(A lot of different concepts are available in the literatures.)

According to the substance of material:

material model magnified or reduced dummy of theoriginal ideal modelideal model mathematical, symbolical, and other

analogical models

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According to the mutual allocation of elements

between the original and the model:

structural model It is identical with the original interms of its internal formation as well as properties.

functional model It is identical with the original in

terms of properties only. (A typical example: Statisticalmodels of experiments)

According to the possibility to clarify the original:

explanatory model (interpreting) It explains theoriginal in terms of cause and effect relationship.

descriptive model It simply describes the properties

of the original only.

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According to the depth of knowledge on the original:

based on (random) observations

based on experiments (systematic preparation of theoriginal materials and systematic observations)

hypothetical based on hypotheses with differentdegree of verification

theoretical fully verified interpretation about theoriginal in the context of the present time

Notes:1. Further, we will speak about the ideal, structural,explanatory, and theoretical models.2. The models used in textile sciences have some

special problems following the specific structural

characters of the fibrous objects.

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SOME SPECIAL PROBLEMS

Problem of continuum:1. The interpretation of objects having very high numberof particles can be based on the idea of continuum. It ispossible to apply the physical and mathematical toolrelated to continuum (infinitesimal calculus, etc.)

2. The interpretation of objects having only a few particles(and often a definite structural character) can be based onthe idea from particle to particle (methods of finitemathematics, etc.)

3. Number of particles (fibers, yarns) in textile objects aresomething in-between (no special calculus is existing forthem) and their systems have often significantly randomcharacter. Therefore, usually a combination of ideasmentioned before are necessary.

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Problem of deterministic or probabilistic behavior:

Usually both of these behaviors are existing together in

textiles. We choose first or second or a combination ofboth according to the actual problem. From this standpointwe distinguishdeterministic models,probabilistic models, (Dont confuse with thestatistical models, which are not explanatory models!), andhybrid models (a combination of the deterministic and

the probabilistic models)

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t02 Models Neckar yarn

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