Acoustics, aeroacoustics and vibrations

Cover -- Title Page -- Copyright -- Contents -- Preface -- Chapter 1: A Bit of History -- 1.1. The production of sound -- 1.2. The propagation of sound -- 1.3. The reception of sound -- 1.4. Aeroacoustics -- Chapter 2: Elements of Continuum Mechanics -- 2.1. Mechanics of deformable media -- 2.1.1. Continuum -- 2.1.2. Kinematics of deformable media -- 2.1.2.1. Lagrange's kinematics -- 2.1.2.2. Euler's kinematics -- 2.1.2.3. Kinematics of a surface -- 2.1.2.4. Material derivatives -- 2.1.3. Deformation tensor (or Green's tensor) -- 2.2. Conservation laws -- 2.2.1. Conservation of mass -- 2.2.2. Conservation of momentum -- 2.2.3. Conservation of energy -- 2.3. Constitutive laws -- 2.3.1. Elasticity -- 2.3.1.1. Stress-deformation tensor -- 2.3.1.2. Infinitesimal strain tensor -- 2.3.2. Thermoelasticity and effects of temperature variations -- 2.3.3. Viscoelasticity -- 2.3.3.1. Partial differential operator -- 2.3.3.1.1. Elementary models -- 2.3.3.2. Convolution operator -- 2.3.4. Fluid medium -- 2.4. Hamilton principle -- 2.5. Characteristics of materials -- Chapter 3: Small Mathematics Travel Kit -- 3.1. Measure theory and Lebesgue integration -- 3.1.1. Boolean algebra -- 3.1.2. Measure on a -algebra -- 3.1.3. Convergence and integration of measurable functions -- 3.1.4. Functional space -- functional -- 3.1.5. Measure as linear functional -- 3.2. Distributions -- 3.2.1. The space D of test functions -- 3.2.2. Distributions definition -- 3.2.3. Operations on distributions -- 3.2.4. N-dimensional generalization -- 3.2.5. Distributions tensor product -- 3.3. Convolution -- 3.3.1. Definition and first properties -- 3.3.2. Convolution algebra and Green's function -- 3.4. Modal methods -- 3.4.1. Eigenmodes of a conservative system -- 3.4.2. Eigenmodes of a non-conservative system -- 3.4.2.1. Eigenmodes-resonance modes.;This didactic book presents the main elements of acoustics, aeroacoustics and vibrations. Illustrated with numerous concrete examples linked to solid and fluid continua, Acoustics, Aeroacoustics and Vibrations proposes a selection of applications encountered in the three fields, whether in room acoustics, transport, energy production systems or environmental problems. Theoretical approaches enable us to analyze the different processes in play. Typical results, mostly from numerical simulations, are used to illustrate the main phenomena (fluid acoustics, radiation, diffraction, vibroacoustics, etc.).