Schuetzendave
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Re: Chamber Ringing
Reply #37 - Dec 1st, 2024 at 4:54pm
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problem to be solved in the 17th century. 1 Introduction Material properties, an equation of state for the material, and conservation equations for mass, momentum and energy are required for the mathematical description of the propagation of blast and shock waves. This was not set up at once, but took a long way over several centuries. The development of the theory of blast and shock waves is chronologically described in the following sections. Torsten D¨oge Dr. Linse Ingenieure GmbH, Karlstr. 46, 80333 Munich, Germany e-mail: doege@drlinse.de Norbert Gebbeken Institute of Engineering Mechanics and Structural Mechanics, University of the Bundeswehr Munich, Werner-Heisenber-Weg 39, 85577 Neubiberg, Germany e-mail: norbert.gebbeken@unibw.de E. Stein (ed.), The History of Theoretical, Material and Computational Mechanics, 249 Lecture Notes in Applied Mathematics and Mechanics 1, DOI: 10.1007/978-3-642-39905-3_15, c Springer-Verlag Berlin Heidelberg 2014 250 T. D¨oge and N. Gebbeken The content of this chapter was collected when writing the dissertation [11]. Only by reading the original literature it becomes clear, what problems had to be solved, why problems were not solved until a certain time and why some problems were then independently solved by several persons. The authors of this chapter recommend to everyone to obtain and read the original literature. It is very instructive! 2 The 17th Century MARIN MERSENNE (1588–1648) measured around 1636 the speed of sound (LENIHAN [34, 35]). He applied two methods. One method was to measure the time from the arrival of the flash of a canon, which distance was known, until the arrival of the report of the canon. With this method, he determined the speed of sound to 230 Toisen per second (≈ 448m/s) [34]. The second method was to measure the time that a sound and its echo took to a wall and back. With this method he determined approximately 316 m/s [35]. GALILEO GALILEI (1564–1642) wrote already in his 1638 published work Discorsi e dimostrazioni matematiche intorno a due nuove scienze attenenti alla meccanica et i movimenti locali about experiments on air. Thereby, he described an experiment, with which the density of air can be determined [22, p. 117–118]:
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