On the Characteristics of Non-Material Boundary Conditions Using the Example of a Vibrating String

• Autorzy: Franze A. , Zastrau B. W.
• Języki publikacji: EN

Abstrakty

EN

In this paper the possibilities and limits of solving equations of motion with non-material boundary conditions are investigated. Therefore the system of equations for the nonstationary motion of a three-dimensional body is derived. To overcome the time dependency of the boundary conditions an Arbitrary Lagrangean Eulerian (ALE) kinematics is used. In combination with the introduced operator notation a very clear formulation of the system of the equations of motion is derived. The model of a perfect flexible and inextensible string is used as an illustration. In this case analytical solutions are given in a closed form for an example with one non-material boundary condition. This allows studying the characteristics of such boundary conditions.

Słowa kluczowe

EN

boundary value problems; dynamics; solid mechanics; vibrations; nonmaterial boundary conditions; one-dimensional continua

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2011
• Tom: Vol. 35, No. 4
• Strony: 11--31
• Opis fizyczny: Bibliogr. 17 poz., il., wykr.

Twórcy

autor

Franze A.

autor

Zastrau B. W.

• Dresden University of Technology,

Bibliografia

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