The Theory of Sound, Volume 1
The Nobel Laureate's classic sums up all research in the field prior to 1877, then presents Rayleigh's own original contributions.Volume One covers harmonic vibrations, systems with one degree of freedom, vibrating systems in general, transverse vibrations of strings, longitudinal and torsional vibrations of bars, vibrations of membranes and plates, curved shells and plates, and electrical vibrations.
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Composition of harmonic motions of like period Harmonic Curve Com
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absolute pitch acoustics amplitude application approximately arbitrary axis boundary calculated circle circle of latitude circuit circular clamped coefficients component condition considered constant constraint corresponding cosh curvature curve cylinder denote density depends determined diameters differential equation displacement effect equal equal temperament equation of motion equilibrium expressed finite forced vibrations fork free vibrations frequency friction given gravest tone harmonic increases independent induction inertia infinite initial integral interval investigation isochronism kinetic energy length load longitudinal membrane method mutual induction negative nodal lines nodes normal co-ordinates normal functions obtained octave period phase pitch plane plate positive potential energy principal curvature problem propagation proportional quadratic function quantities quarter period ratio Rayleigh represented resistance result roots satisfied shews simple solution sound square string suppose surface tension theorem theory tion vanish velocity waves wire Young's modulus zero