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Modelling of Bodies Contact

Result description

Dissertation thesis, deals with a modelling of three member mechanical systems during ideal and operating state. The work is oriented to the analytical description of elastostatic normal contact in the manner of the Hertz theory. The main purpose of thiswork is to bring a view on the contact properties of a screw compressor in an operating state in comparison with contact properties in the ideal state. The comparison is made in position in which the maximal contact force occurs. This force between screw rotors is caused actually by a compressed medium while one rotor is axially free and the second screw rotor is held by an engine. The next contribution is a numerical simulation of a contact point motion during revolution per one tooth with consideration of the rotors perfect geometry. The theoretical contribution is made by approximation at arbitrary point by a power series up to the n-th order which is very useful for analytical description of point contact.

Keywords

analytical solutionbinomialcontact mechanicscontact pressurecurvaturecycloiddifferential calculuseigen valueseigen vectorselliptical integralFEMgeometryHertzindicatrixnumerical simulationpower seriesscrew compressorsplinestresssurfacetensorthree member mechanismvisualizationweak form

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Modelling of Bodies Contact

  • Original language description

    Dissertation thesis, deals with a modelling of three member mechanical systems during ideal and operating state. The work is oriented to the analytical description of elastostatic normal contact in the manner of the Hertz theory. The main purpose of thiswork is to bring a view on the contact properties of a screw compressor in an operating state in comparison with contact properties in the ideal state. The comparison is made in position in which the maximal contact force occurs. This force between screw rotors is caused actually by a compressed medium while one rotor is axially free and the second screw rotor is held by an engine. The next contribution is a numerical simulation of a contact point motion during revolution per one tooth with consideration of the rotors perfect geometry. The theoretical contribution is made by approximation at arbitrary point by a power series up to the n-th order which is very useful for analytical description of point contact.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    JR - Other machinery industry

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Basic information

Result type

O - Miscellaneous

O

CEP

JR - Other machinery industry

Year of implementation

2010