Theory of Vibrating Systems and SoundD. Van Nostrand Company, 1926 - 272 pages |
Table des matières
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Expressions et termes fréquents
a₁ absorbing material absorbing power absorption coefficient acoustic added mass amplitude applied Architectural Acoustics b₁ boundary consider constant damping determined device diaphragm dissipation driving point effect electrical enclosure energy density excess pressure exponential horn factor fluid force formula friction function G. W. Pierce given impedance inertia layer low frequencies maximum medium membrane method natural frequency normal noted obtained oscillations P. E. Sabine paper phase velocity phenomena Phys piezo-electric piston plane waves problem Proc quantity quency R₁ radiation resistance radius ratio Rayleigh reactance reader reflection reflection coefficient relation resonator result reverberation solution sound waves spherical standing wave standing wave system string surface theory thickness tion Trans transmission tube unit area velocity potential vibrating system viscosity wall wave length Zeit эф Эх હું
Fréquemment cités
Page 227 - The viscosity of a substance is measured by the tangential force on unit area of either of two horizontal planes at unit distance apart, one of which is fixed, while the other moves with the unit of velocity, the space between being filled with the viscous substance
Page 122 - ... it would have been if the motion of the particles of air had taken place in planes passing through the axis of the string. This shows the vital importance of sounding-boards in stringed instruments. Although the amplitude of vibration of the particles of the sounding-board is extremely small compared with that of the particles of the string, yet, as it presents a broad surface to the air, it is able to excite loud sonorous vibrations, whereas, were the string supported in an absolutely rigid...
Page 127 - ... the cylinder passes through a space equal to a small multiple of its radius. To return to the problem considered in Section III., it would seem that when the radius of the cylinder is very small, the motion which would be expressed by the formulae of that Section would be unstable. This might very well be the case with the fine wires used in supporting the spheres employed in pendulum experiments. If so, the quantity of fluid carried by the wire would be diminished, portions being continually...
Page 227 - From this we see that /j, may be defined as " the tangential force on unit area of either of two horizontal planes of indefinite extent at unit distance apart, one of which is fixed, while the other moves horizontally with unit velocity, the space between being filled with the viscous substance.
Page 85 - The Equation of Continuity. 6. If an imaginary fixed closed surface be described in a fluid, the difference between the amounts of fluid which flow in and flow out during a small interval of time St, must be equal to the increase in the amount of fluid during the same interval, which the surface contains.
Page 208 - Davis [43].) rough way in 1924, observing that "the time of reverberation for an auditorium with its maximum audience . . . should lie between 1 and 2 seconds. For speech and light music it should fall in the lower half of this range, while for music of the larger sort it may lie nearer the upper limit [44].
Page 114 - ... x = R sin 6 cos <#>, y = R sin 0 sin <t>, z = R cos 0.
Page 127 - ... character of the motion must be nearly the same whether the velocity of the cylinder be constant, or vary slowly with the time,, so that it does not vary materially when the cylinder passes through a space equal to a small multiple of its radius. To return to the problem considered in Section III., it would seem that when the radius of the cylinder is very small, the motion which would be expressed by the formulae of that Section would be unstable. This might .very well be the case with the fine...
Page 73 - It is evident that the formula (B') is to be preferred since it gives approximately the experimental values of fm and also explains satisfactorily the variation of the frequency limit of attenuation with the conductivity of the orifices leading from the transmission conduit to the volume in the branch. Attention should be directed to several other facts shown in the table. The percentage transmission in the "unattenuated" region given in column "T," seems to depend upon the ratio between r2 and rlt...