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- W4247079560 abstract "The aim of this introductory chapter is to summarize the main mechanical models which describe the physics of musical instruments and of their constitutive parts. These models derive from the general principles of the mechanics of continuous media (solids and fluids). In this framework, the phenomena are described at a scale of the so-called particle, or element, whose dimensions are infinitesimal in the sense of differential calculus. Particular emphasis is given to the bending of structures and to the equations of acoustic waves in air, because of their relevance in musical acoustics. One section is devoted to the excitation mechanisms of musical instruments. Analogies between vibrations of solids (such as strings) and fluids (in pipes) are underlined. Elementary considerations on the numerical formulation of the models are also given. This chapter should be considered as a summary which contains reference results to help in reading the rest of the book. It focuses on the origin of the equations and on their underlying assumptions, living aside the complete demonstrations." @default.
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- W4247079560 date "2016-01-01" @default.
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- W4247079560 title "Continuous Models" @default.
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- W4247079560 doi "https://doi.org/10.1007/978-1-4939-3679-3_1" @default.
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