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Elements of the Theory of Resonance

Elements of the Theory of Resonance

Elements of the Theory of Resonance

Illustrated by the Motion of a Pendulum
E. W. Brown
June 2011
Available
Paperback
9781107659759
AUD$32.95
inc GST
Paperback

    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.

    Product details

    June 2011
    Paperback
    9781107659759
    66 pages
    235 × 156 × 3 mm
    0.13kg
    Available

    Table of Contents

    • 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.
      Author
    • E. W. Brown