On the Transverse Vibrations of a String Segment Between Two Supports Moving Axially Along a String of Infinite Length | Zendy

Franze Andreas | Zendy; Zastrau Bernd W. | Zendy

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On the Transverse Vibrations of a String Segment Between Two Supports Moving Axially Along a String of Infinite Length

Author(s) -

Franze Andreas,

Zastrau Bernd W.

Publication year - 2010

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201010111

Subject(s) - string (physics) , mathematical analysis , axial symmetry , partial differential equation , boundary value problem , mathematics , boundary (topology) , vibration , transverse plane , inverse , operator (biology) , time derivative , derivative (finance) , differential equation , physics , geometry , mathematical physics , engineering , quantum mechanics , structural engineering , biochemistry , chemistry , repressor , transcription factor , financial economics , economics , gene

This paper deals with the equation of motion of a string with time‐varying boundary conditions. This equation can be transformed to a partial differential equation (PDE) with non‐varying boundary conditions. During the solution process, the inverse of the time derivative operator is needed. To ensure the existence of a solution, the time derivative is generalized to a weighted time derivative on a weighted L 2 ‐space. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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