Elements of acoustical engineering (1940) Elements of acoustical engineering elementsofacoust00olso Year: 1940 CIRCULAR MEMBRANE 41 circular membranes. For cases of practical interest the membrane is rigidly clamped and stretched by a massive circular ring. The funda- mental frequency. Fig. ^, of a circular membrane is given by J82 / where m = mass, in grams per square centimeter of area, R = radius of the membrane, in centimeters, and T = tension, in dynes per centimeter. fi2 = fi3 = Fig. Modes of vibration of a stretched circular membrane. Shaded s
Elements of acoustical engineering (1940) Elements of acoustical engineering elementsofacoust00olso Year: 1940 CIRCULAR MEMBRANE 41 circular membranes. For cases of practical interest the membrane is rigidly clamped and stretched by a massive circular ring. The funda- mental frequency. Fig. ^, of a circular membrane is given by J82 / where m = mass, in grams per square centimeter of area, R = radius of the membrane, in centimeters, and T = tension, in dynes per centimeter. fi2 = fi3 = Fig. Modes of vibration of a stretched circular membrane. Shaded segments are dis- placed in opposite phase to unshaded. The fundamental vibration is with the circumference as a node and a maximum displacement at the center of the circle (Fig. ^). The fre- quencies of the next two overtones with nodal circles are /o2 = /o3 = :
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