Elements of the Theory of Resonance

Illustrated by the Motion of a Pendulum

Specificaties
Paperback, 66 blz. | Engels
Cambridge University Press | e druk, 2011
ISBN13: 9781107659759
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Cambridge University Press e druk, 2011 9781107659759
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Samenvatting

Ernest William Brown (1866–1938) was a prominent British mathematician and astronomer renowned for his contribution to the study of lunar motion. Originally published in 1932, this concise volume was based on a series of lectures given at the Rice Institute during April 1931. It consists of an attempt to describe and analyse the phenomena which are peculiar to resonance in an elementary manner. Although of fundamental importance to many mechanical problems, this subject had received comparatively little attention in textbooks at the time of publication. Treatment consists of an investigation of the changes which take place in the amplitude and phase of a vibrating element under certain types of forces. This book will be of value to anyone with an interest in Brown's writings and the theorization of resonance.

Specificaties

ISBN13:9781107659759
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:66

Inhoudsopgave

Introduction; 1i. The equation d2x/dt2 + k2 sin x = 0; 1ii. Method of approximation; 1iii. The generalized equation d2x/dt2 + f' (x) = 0; 2. Solutions of d2x/dt2 + f' (x) = mø' (x, t); 3. Application to the pendulum with an oscillating support; 4. Applications to the mutual influence of two pendulums; 5. Solutions of d2x/dt2 + k2x = mø' (x, t); 6. The effect of friction.

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        Elements of the Theory of Resonance