Formulas for Finding Coefficients from Nodes/Nodal Lines

Joyce R. Mclaughlin
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Joyce R. Mclaughlin: Rensselaer Polytechnic Institute

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1494-1501 from Springer

Abstract: Abstract We ask the question: What can be determined about a vibrating system from the positions of nodal lines? The question is answered for a rectangular membrane. We give a formula for finding a potential from the nodal line positions. A uniqueness result is presented. Analogous one-dimensional results are presented; three-dimensional results are announced. A case study showing the effect of structural damping on measurements is described.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_146

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DOI: 10.1007/978-3-0348-9078-6_146

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