Reciprocity experiments on the transmission of sound in ships

The general reciprocity theorem for linear dynamical systems was formulated by Rayleigh about a century ago (ref. 1.1). Nevertheless, in the fields of acoustics and structural dynamics the principle is not generally accepted as a useful tool and the number of applications is very limited. The limited use of the reciprocity principle is caused mainly by doubts about its validity. Due to the development of the electrical network theory and some recent publications in the acoustical literature it is possible to formulate clearly for which types of systems reciprocity is valid (see chapter 2). Many systems in linear dynamics can be shown to have the characteristics to satisfy the reciprocity theory.

[1]  A. O. Sykes.  the effects of … Machine and Foundation Resilience and of Wave Propagation on the Isolation Provided by Vibration Mounts , 1958 .

[2]  R. Rayleigh.  The Theory of Sound, Two Volumes In One , 1945 .

[3]  J. H. Janssen.  Model Experiments on Sound Transmission from Engine Room to Accommodation in Motorships , 1965 .

[4]  L. M. Lyamshev.  On Certain Integral Relations in the Acoustics of a Moving Medium , 1961 .

[5]  H. Langhaar.  Dimensional analysis and theory of models , 1951 .

[6]  R. Stephens,et al.  Acoustics and Vibrational Physics , 1966 .

[7]  G. D. Monteath.  Applications of the Electromagnetic Reciprocity Principle , 1973 .

[8]  Robert J. Urick,et al.  Principles of underwater sound for engineers , 1967 .

[9]  Maurice A. Biot,et al.  Mathematical methods in engineering , 1940 .

[10]  Alan O. Sykes,et al.  Isolation of Vibration When Machine and Foundation are Resilient and When Wave Effects Occur in the Mount , 1960 .

[11]  B. K. Gazey,et al.  APPLIED UNDERWATER ACOUSTICS. , 1966 .

[12]  A. W. Nolle.  Dynamic mechanical properties of rubberlike materials , 1950 .

[13]  Alan O. Sykes,et al.  WAVE EFFECTS IN ISOLATION MOUNTS , 1952 .

[14]  Richard H. Lyon.  What Good is Statistical Energy Analysis Anyway , 1970 .

[15]  S. Hylarides.  Ship vibration analysis by finite element technique. Pt. II: Vibration analysis / Analyse van scheepstrillingen door middel van de elementenmethode. Dl. II: Trillingsanalyse , 1971 .

[16]  John William Strutt,et al.  Some General Theorems relating to Vibrations , 1871 .

[17]  Ernst-Georg Neumann,et al.  Physikalische und Technische Akustik , 1974 .

[18]  Ferenc Kirschner,et al.  Mesures de l'impédance d'entrée du sol dans le but d'isolement des vibrations , 1954 .

[19]  E. Skudrzyk,et al.  Die Grundlagen der Akustik , 1954 .

[20]  Charles A. Desoer,et al.  Basic Circuit Theory , 1969 .

[21]  George Chertock.  General Reciprocity Relation , 1962 .

[22]  Igor Ivanovich Klyukin.  CONTROL OF NOISE AND SONIC VIBRATION IN SHIPS , 1963 .

[23]  Eugen J. Skudrzyk,et al.  Simple and Complex Vibratory Systems , 1969 .

[24]  E. J. Rathe,et al.  Relationship between the Transmission Loss and the Impact‐Noise Isolation of Floor Structures , 1963 .

[25]  E. Buckingham.  On Physically Similar Systems; Illustrations of the Use of Dimensional Equations , 1914 .