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Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The problem of a massive taut string, traveled by a heavy point mass, moving with an assigned law, is formulated in a linear context.
Displacements are assumed to be transverse, and the dynamic tension is neglected.
The equations governing the moving boundary problem are derived via a variational principle, in which the geometric compatibility between the point mass and the string is enforced via a Lagrange multiplier, having the meaning of transverse reactive force.
The equations are rearranged in the form of a unique Volterra integral equation in the reactive force, which is solved numerically.
A classical Galerkin solution is implemented for comparison.
Numerical results throw light on the physics of the phenomenon and confirm the effectiveness of the algorithm.
American Psychological Association (APA)
Ferretti, M.& Luongo, Angelo. 2019. Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1118997
Modern Language Association (MLA)
Ferretti, M.& Luongo, Angelo. Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation. Advances in Mathematical Physics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1118997
American Medical Association (AMA)
Ferretti, M.& Luongo, Angelo. Solution to the Problem of a Mass Traveling on a Taut String via Integral Equation. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1118997
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118997