The Theory for Elastic Liquid‐Containing Membrane Manometers. General Part.

Abstract

Summary. A new method for determining the above‐mentioned constants evolved by V. JOHANSEN and I. OSCAR NIELSEN has been published. An exposition is given of the theory for oscillating systems of one degree of freedom known from physics. Tables and curves are calculated showing the amplitude‐and phase‐distortion caused by recording instruments of different degrees of damping influenced by varying relative frequencies. The relations between the degree of damping, the ratio of damping, the logarithmic decrement and the overshot have been calculated. The consequences for the choice of recording instruments for given purposes have been outlined. The consequences for the construction of suitable recording instruments have been pointed out. Methods for determining the natural undamped frequency and the degree of damping from forced and free vibrations have been given. The paper presents the general part of the theory for the elastic liquid‐containing membrane manometer.