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xi | |
Preface |
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xv | |
Introduction |
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xvii | |
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Chapter 1 Oscillating systems. Description and analysis |
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1 | (1) |
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1.2 Types of oscillatory motion |
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1 | (2) |
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1.3 Methods for signal analysis |
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3 | (1) |
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1.4 Fourier analysis (spectral analysis) |
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4 | (18) |
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1.4.1 Periodic signals. Fourier series |
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4 | (2) |
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1.4.1.1 Energy in a periodic oscillation. Mean square and RMS-values |
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6 | (2) |
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1.4.1.2 Frequency analysis of a periodic function (periodic signal) |
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8 | (1) |
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1.4.2 Transient signals. Fourier integral |
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8 | (1) |
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1.4.2.1 Energy in transient motion |
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9 | (1) |
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1.4.2.2 Examples of Fourier transforms |
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9 | (3) |
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1.4.3 Stochastic (random) motion. Fourier transform for a finite time T |
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12 | (2) |
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1.4.4 Discrete Fourier transform (DFT) |
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14 | (2) |
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1.4.5 Spectral analysis measurements |
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16 | (1) |
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1.4.5.1 Spectral analysis using fixed filters |
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17 | (2) |
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19 | (3) |
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1.5 Analysis in the time domain. Test signals |
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22 | (8) |
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1.5.1 Probability density function. Autocorrelation |
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23 | (2) |
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25 | (5) |
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30 | (1) |
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Chapter 2 Excitation and response of dynamic systems |
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31 | (1) |
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32 | (1) |
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2.3 Transfer function. Definition and properties |
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33 | (6) |
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33 | (1) |
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2.3.2 Some important relationships |
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34 | (1) |
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2.3.2.1 Cross spectrum and coherence function |
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34 | (1) |
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2.3.2.2 Cross correlation. Determination of the impulse response |
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35 | (1) |
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2.3.3 Examples of transfer functions. Mechanical systems |
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36 | (1) |
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2.3.3.1 Driving point impedance and mobility |
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37 | (2) |
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2.4 Transfer functions. Simple mass-spring systems |
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39 | (9) |
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2.4.1 Free oscillations (vibrations) |
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39 | (2) |
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2.4.1.1 Free oscillations with hysteric damping |
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41 | (1) |
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2.4.2 Forced oscillations (vibrations) |
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42 | (2) |
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2.4.3 Transmitted force to the foundation (base) |
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44 | (3) |
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2.4.4 Response to a complex excitation |
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47 | (1) |
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2.5 Systems with several degrees of freedom |
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48 | (5) |
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2.5.1 Modelling systems using lumped elements |
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49 | (1) |
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2.5.2 Vibration isolation. The efficiency of isolating systems |
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50 | (2) |
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52 | (1) |
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2.5.3.1 Measurement and calculation methods |
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52 | (1) |
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53 | (2) |
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Chapter 3 Waves in fluid and solid media |
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55 | (1) |
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55 | (6) |
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57 | (1) |
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3.2.1.1 Phase speed and particle velocity |
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57 | (2) |
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59 | (1) |
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3.2.3 Energy loss during propagation |
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59 | (1) |
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3.2.3.1 Wave propagation with viscous losses |
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60 | (1) |
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3.3 Sound intensity and sound power |
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61 | (2) |
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3.4 The generation of sound and sources of sound |
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63 | (11) |
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3.4.1 Elementary sound sources |
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64 | (1) |
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3.4.1.1 Simple volume source. Monopole source |
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64 | (2) |
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3.4.1.2 Multipole sources |
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66 | (2) |
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3.4.2 Rayleigh integral formulation |
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68 | (1) |
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3.4.3 Radiation from a piston having a circular cross section |
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69 | (2) |
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3.4.4 Radiation impedance |
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71 | (3) |
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3.5 Sound fields at boundary surfaces |
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74 | (9) |
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3.5.1 Sound incidence normal to a boundary surface |
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75 | (4) |
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3.5.1.1 Sound pressure in front of a boundary surface |
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79 | (1) |
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3.5.2 Oblique sound incidence |
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79 | (2) |
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3.5.3 Oblique sound incidence. Boundary between two media |
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81 | (2) |
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3.6 Standing waves. Resonance |
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83 | (3) |
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3.7 Wave types in solid media |
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86 | (15) |
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86 | (2) |
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88 | (1) |
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3.7.3 Bending waves (flexural waves) |
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89 | (1) |
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3.7.3.1 Free vibration of plates. One-dimensional case |
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90 | (1) |
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3.7.3.2 Eigenfunctions and eigenfrequencies (natural frequencies) of plates |
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91 | (2) |
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3.7.3.3 Eigenfrequencies of orthotropic plates |
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93 | (3) |
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3.7.3.4 Response to force excitation |
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96 | (2) |
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3.7.3.5 Modal density for bending waves on plates |
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98 | (1) |
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3.7.3.6 Internal energy losses in materials. Loss factor for bending waves |
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99 | (2) |
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101 | (2) |
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103 | (1) |
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4.2 Modelling of sound fields in rooms. Overview |
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103 | (3) |
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4.2.1 Models for small and large rooms |
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105 | (1) |
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4.3 Room acoustic parameters. Quality criteria |
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106 | (4) |
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107 | (1) |
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4.3.2 Other parameters based on the impulse response |
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108 | (2) |
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4.4 Wave theoretical models |
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110 | (6) |
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4.4.1 The density of eigenfrequencies (modal density) |
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111 | (1) |
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4.4.2 Sound pressure in a room using a monopole source |
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112 | (2) |
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4.4.3 Impulse responses and transfer functions |
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114 | (2) |
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4.5 Statistical models. Diffuse-field models |
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116 | (17) |
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4.5.1 Classical diffuse-field model |
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117 | (2) |
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4.5.1.1 The build-up of the sound field. Sound power determination |
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119 | (1) |
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4.5.1.2 Reverberation time |
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120 | (2) |
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4.5.1.3 The influence of air absorption |
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122 | (2) |
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4.5.1.4 Sound field composing direct and diffuse field |
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124 | (2) |
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4.5.2 Measurements of sound pressure levels and reverberation time |
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126 | (1) |
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4.5.2.1 Sound pressure level variance |
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126 | (4) |
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4.5.2.2 Reverberation time variance |
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130 | (1) |
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4.5.2.3 Procedures for measurements in stationary sound fields |
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131 | (2) |
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133 | (4) |
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134 | (1) |
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4.6.2 Image-source models |
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135 | (2) |
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137 | (1) |
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4.7 Scattering of sound energy |
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137 | (6) |
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4.7.1 Artificial diffusing elements |
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138 | (3) |
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4.7.2 Scattering by objects distributed in rooms |
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141 | (2) |
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4.8 Calculation models. Examples |
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143 | (8) |
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4.8.1 The model of Jovicic |
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144 | (1) |
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4.8.1.1 Scattered sound energy |
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145 | (1) |
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4.8.1.2 "Direct" sound energy |
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146 | (1) |
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4.8.1.3 Total energy density. Predicted results |
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147 | (2) |
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4.8.1.4 Reverberation time |
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149 | (1) |
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4.8.2 The model of Lindqvist |
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149 | (1) |
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4.8.3 The model of Ondet and Barbry |
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150 | (1) |
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151 | (4) |
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Chapter 5 Sound absorbers |
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155 | (1) |
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5.2 Main categories of absorber |
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156 | (2) |
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156 | (1) |
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157 | (1) |
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5.2.3 Helmholtz resonators using perforated plates |
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157 | (1) |
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5.3 Measurement methods for absorption and impedance |
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158 | (6) |
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5.3.1 Classical standing wave tube method (ISO 10534--1) |
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159 | (2) |
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5.3.2 Standing wave tube. Method using transfer function (ISO 10534--2) |
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161 | (2) |
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5.3.3 Reverberation room method (ISO 354) |
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163 | (1) |
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5.4 Modelling sound absorbers |
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164 | (13) |
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165 | (1) |
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5.4.1.1 The stiffness of a closed volume |
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165 | (2) |
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5.4.1.2 The acoustic mass in a tube |
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167 | (1) |
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5.4.1.3 Acoustical resistance |
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168 | (2) |
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5.4.1.4 The Helmholtz resonator. An example using analogies |
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170 | (1) |
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5.4.1.5 Distributed Helmholtz resonators |
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171 | (5) |
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5.4.1.6 Membrane absorbers |
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176 | (1) |
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177 | (19) |
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178 | (2) |
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5.5.2 Simple equivalent fluid models |
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180 | (3) |
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5.5.3 Absorption as a function of material parameters and dimensions |
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183 | (1) |
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5.5.3.1 Flow resistivity and thickness of sample |
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183 | (2) |
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5.5.3.2 Angle of incidence dependency. Diffuse field data |
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185 | (4) |
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5.5.4 Further models for materials with a stiff frame (skeleton) |
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189 | (1) |
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5.5.4.1 The model of Attenborough |
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190 | (1) |
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5.5.4.2 The model of Allard/Johnson |
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191 | (2) |
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5.5.5 Models for materials having an elastic frame (skeleton) |
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193 | (3) |
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5.6 Measurements of material parameters |
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196 | (5) |
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5.6.1 Airflow resistance and resistivity |
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196 | (2) |
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198 | (1) |
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5.6.3 Tortuosity, characteristic viscous and thermal lengths |
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199 | (2) |
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5.7 Prediction methods for impedance and absorption |
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201 | (4) |
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5.7.1 Modelling by transfer matrices |
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202 | (1) |
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5.7.1.1 Porous materials and panels |
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203 | (2) |
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205 | (2) |
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Chapter 6 Sound transmission. Characterization and properties of single walls and floors |
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207 | (1) |
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6.2 Characterizing airborne and impact sound insulation |
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208 | (10) |
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6.2.1 Transmission factor and sound reduction index |
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208 | (2) |
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6.2.1.1 Apparent sound reduction index |
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210 | (1) |
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6.2.1.2 Single number ratings and weighted sound reduction index |
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211 | (2) |
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6.2.1.3 Procedure for calculating the adaptation terms |
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213 | (2) |
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6.2.2 Impact sound pressure level |
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215 | (1) |
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6.2.2.1 Single number rating and adaptation terms for impact sound |
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216 | (2) |
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6.3 Sound radiation from building elements |
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218 | (14) |
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6.3.1 The radiation factor |
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218 | (1) |
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6.3.1.1 Examples using idealized sources |
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219 | (1) |
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6.3.2 Sound radiation from an infinite large plate |
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220 | (3) |
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6.3.3 Critical frequency (coincidence frequency) |
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223 | (1) |
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6.3.4 Sound radiation from a finite size plate |
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224 | (2) |
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6.3.4.1 Radiation factor for a plate vibrating in a given mode |
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226 | (2) |
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6.3.4.2 Frequency averaged radiation factor |
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228 | (1) |
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6.3.4.3 Radiation factor by acoustic excitation |
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228 | (3) |
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6.3.4.4 Radiation factor for stiffened and/or perforated panels |
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231 | (1) |
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6.4 Bending wave generation. Impact sound transmission |
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232 | (8) |
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6.4.1 Power input by point forces. Velocity amplitude of plate |
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232 | (2) |
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6.4.2 Sound radiation by point force excitation |
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234 | (1) |
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6.4.2.1 Bending wave near field |
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235 | (1) |
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6.4.2.2 Total sound power emitted from a plate |
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236 | (2) |
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6.4.2.3 Impact sound. Standardized tapping machine |
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238 | (2) |
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6.5 Airborne sound transmission. Sound reduction index for single walls |
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240 | (17) |
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6.5.1 Sound transmitted through an infinitely large plate |
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241 | (1) |
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6.5.1.1 Sound reduction index of a plate characterized by its mass impedance |
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241 | (1) |
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6.5.1.2 Bending wave field on plate. Wall impedance |
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242 | (2) |
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6.5.1.3 Sound reduction index of an infinitely large plate. Incidence angle dependence |
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244 | (1) |
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6.5.1.4 Sound reduction index by diffuse sound incidence |
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245 | (1) |
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6.5.2 Sound transmission through a homogeneous single wall |
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246 | (2) |
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6.5.2.1 Formulae for calculation. Examples |
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248 | (3) |
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6.5.3 Sound transmission for inhomogeneous materials. Orthotropic panels |
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251 | (5) |
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6.5.4 Transmission through porous materials |
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256 | (1) |
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6.6 A relation between airborne and impact sound insulation |
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257 | (5) |
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6.6.1 Vibroacoustic reciprocity, background and applications |
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258 | (2) |
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6.6.2 Sound reduction index and impact sound pressure level: a relationship |
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260 | (2) |
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262 | (3) |
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Chapter 7 Statistical energy analysis (SEA) |
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265 | (1) |
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266 | (4) |
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7.2.1 Thermal-acoustic analogy |
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266 | (1) |
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267 | (3) |
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7.3 System with two subsystems |
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270 | (2) |
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7.3.1 Free hanging plate in a room |
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270 | (2) |
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7.4 SEA applications in building acoustics |
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272 | (2) |
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274 | (3) |
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Chapter 8 Sound transmission through multilayer elements |
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277 | (1) |
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277 | (21) |
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8.2.1 Double wall without mechanical connections |
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278 | (5) |
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8.2.1.1 Lightly damped cavity |
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283 | (1) |
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8.2.2 Double walls with structural connections |
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284 | (2) |
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8.2.2.1 Acoustical lining |
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286 | (4) |
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8.2.2.2 Lightweight double leaf partitions with structural connections |
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290 | (6) |
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8.2.2.3 Heavy (massive) double walls |
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296 | (2) |
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298 | (8) |
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8.3.1 Element with incompressible core material |
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299 | (4) |
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8.3.2 Sandwich element with compressible core |
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303 | (3) |
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8.4 Impact sound insulation improvements |
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306 | (15) |
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8.4.1 Floating floors. Predicting improvements in impact sound insulation |
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307 | (4) |
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8.4.2 Lightweight floating floors |
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311 | (2) |
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8.4.2.1 Lightweight primary floor |
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313 | (2) |
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8.4.3 The influence of structural connections (sound bridges) |
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315 | (1) |
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8.4.4 Properties of elastic layers |
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316 | (2) |
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318 | (3) |
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321 | (4) |
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Chapter 9 Sound transmission in buildings. Flanking sound transmission |
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325 | (1) |
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9.2 Sound reduction index combining multiple surfaces |
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326 | (17) |
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9.2.1 Apertures in partitions, "sound leaks" |
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327 | (5) |
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9.2.2 Sound transmission involving duct systems |
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332 | (4) |
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9.2.3 Sound transmission involving suspended ceilings |
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336 | (1) |
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9.2.3.1 Undamped plenum (cavity) |
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337 | (1) |
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9.2.3.2 One-dimensional model |
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338 | (3) |
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9.2.3.3 Damped plenum (cavity) |
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341 | (1) |
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9.2.3.4 Apparent sound reduction index with suspended ceiling |
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342 | (1) |
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9.3 Flanking transmission. Apparent sound reduction index |
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343 | (14) |
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9.3.1 Flanking sound reduction index |
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345 | (3) |
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9.3.2 Vibration reduction index |
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348 | (1) |
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9.3.2.1 Bending wave transmission across plate intersections |
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348 | (2) |
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9.3.2.2 Vibration reduction index Kij |
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350 | (2) |
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9.3.2.3 Some examples of Dv,ij and Kij |
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352 | (1) |
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9.3.3 Complete model for calculating the sound reduction index |
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353 | (4) |
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357 | (2) |
Subject index |
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359 | |