VIU 



CONTENTS 



Chapter Page 



2.3 Double Source (Doublet Source) 21 



2.4 Straight Line Source 24 



2.5 Curved Line Source (Arc of a Circle) 25 



2.6 Circular Ring Source 28 



2.7 Plane Circular Surface Source 29 



2.8 Exponential Horns 31 



2.9 Curved Surface Source 32 



III. MECHANICAL VIBRATING SYSTEMS 



3.1 Introduction 36 



3.2 Strings 36 



3.3 Transverse Vibrations of Bars 38 



A. Bar Clamped at One End 38 



B. Bar Free at Both Ends 39 



C. Bar Clamped at Both Ends 40 



D. Bar Supported at Both Ends 40 



3.4 Circular Membrane 40 



3.5 Circular Clamped Plate 42 



3.6 Longitudinal Vibration of Bars 44 



3.7 Torsional Vibration of Bars 46 



3.8 Open and Closed Pipes 47 



IV. ELECTRICAL, MECHANICAL AND ACOUSTICAL ANALOGIES 



4.1 Introduction 49 



4.2 Resistance 49 



A. Electrical Resistance 49 



B. Mechanical Resistance 50 



C. Acoustical Resistance 50 



4.3 Inductance, Inertia, Inertance 50 



A. Inductance 50 



B. Inertia 51 



C. Inertness 51 



4.4 Capacitance, Compliance, Acoustic Capacitance 51 



A. Electrical Capacitance 51 



B. Mechanical Compliance 52 



C. Acoustical Capacitance 52 



4.5 Representation of Electrical, Mechanical and Acoustical Ele- 

 ments 53 



4.6 Electrical, Mechanical and Acoustical Systems of One Degree of 

 Freedom 54 



A. Kinetic Energy 55 



B. Potential Energy 55 



C. Dissipation 56 



D. Equations of Motion 57 



E. Resonant Frequency 59 



