The effect of stiffness on the transverse and longitudinal motions of a musical string: Commemorating the 100th anniversary of the birth of Kh.A. Rakhmatulin |
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| Authors: | Yu.A. Dem’yanov A.A. Malashin |
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| Affiliation: | 1. Karlsruhe Institute of Technology, Institute of Vehicle System Technology, Department of Lightweight Technology, 76131 Karlsruhe, Germany;2. AUDI AG, N/EK-112, 74148 Neckarsulm, Germany;3. VW AG, K-GERW/K, Wolfsburg, Germany;4. BASF SE, E-PME/NN - F206, 67056 Ludwigshafen, Germany;5. Fraunhofer Institute of Chemical Technology, Polymer Engineering Department, 76237 Pfinztal, Germany;1. Centre for Surface Science, Physical Chemistry Section, Department of Chemistry, Jadavpur University, Kolkata, 700 032, W. B., India;2. Department of Food Technology & Bio-Chemical Engineering, Jadavpur University, Kolkata, 700 032, W. B., India;1. Royal Military Academy, 1000, Brussels, Belgium;2. Université de Lille, Unité de Mécanique de Lille, Joseph Boussinesq, UR 7512 UML, 59000, Lille, France;1. College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin, China;2. Department of Civil Engineering, Tsinghua University, Beijing, China;3. Beijing Institute of Technology, Beijing, China;4. Centre for Infrastructure Engineering, School of Engineering, Western Sydney University, Penrith, NSW, Australia;1. Department of Aeronautics, South Kensington Campus, Imperial College London, London, SW7 2AZ, UK;2. Hopkins Extreme Materials Institute, The Johns Hopkins University, Baltimore, MD, 21218, USA;3. Defence Science and Technology Laboratory, Porton Down, Salisbury, SP4 0JQ, UK |
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| Abstract: | The effect of stiffness on the propagation of longitudinal and transverse waves and vibrations in prestretched strings is considered. The contribution of the longitudinal and transverse components to the dynamic load is of the same order. The longitudinal vibrations occur both at natural frequencies and at frequencies of the transverse vibrations. Resonance phenomena are possible. Low stiffness, which is characteristic for musical strings, leads to a small change in the frequencies of the whole spectrum of transverse and longitudinal vibrations, but to a considerable change in the shape of the string at strike and mounting points and on the transverse wave front. |
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