A simple calculation method for the self- and mutual-radiation impedance of flexible rectangular patches in a rigid infinite baffle

A numerical model has been developed to calculate the self- and mutual-radiation impedance in the cases of uniformly and flexibly vibrating rectangular patches in a rigid infinite baffle. The spatial convolution approach is employed here to derive general expressions for the radiation impedance of a rectangular radiator in the form of simple integrals, which allows a fast evaluation numerically. The presented integral solution agrees with that obtained for the mutual-radiation impedance of a uniformly vibrating rectangular piston by the use of the classical approach. The numerical results of self-radiation impedance of a square piston are compared with the tabulated values published previously. As examples of flexibly vibrating rectangular patch, a closed-form expression is first given for the radiation impedance in the normal mode of vibration. The numerical results reveal that the computation time in obtaining accurate calculations is greatly reduced by using the proposed method.

[1]  J. Lee,et al.  RADIATION IMPEDANCE COMPUTATIONS OF A SQUARE PISTON IN A RIGID INFINITE BAFFLE , 1996 .

[2]  Charles H. Sherman,et al.  Mutual Radiation Impedance of Sources on a Sphere within a Spherical Dome. , 1959 .

[3]  R. Pritchard.  Mutual Acoustic Impedance between Radiators in an Infinite Rigid Plane , 1960 .

[4]  Charles H. Sherman,et al.  Mutual‐Radiation Impedance and Nearfield Pressure for Pistons on a Cylinder , 1964 .

[5]  L. Rayleigh,et al.  The theory of sound , 1894 .

[6]  P. Stepanishen.  The Time‐Dependent Force and Radiation Impedance on a Piston in a Rigid Infinite Planar Baffle , 1971 .

[7]  C. Scandrett,et al.  A modal Pritchard approximation for computing array element mutual impedance. , 2000, The Journal of the Acoustical Society of America.

[8]  Julian R. Wright,et al.  Radiation Impedance Calculations for a Rectangular Piston , 1990 .

[9]  Jongkil Lee,et al.  Radiation power estimation for sonar transducer arrays considering acoustic interaction , 2001 .

[10]  David T. Porter,et al.  Self‐ and Mutual‐Radiation Impedance and Beam Patterns for Flexural Disks in a Rigid Plane , 1964 .

[11]  D. H. Robey.  On the Radiation Impedance of an Array of Finite Cylinders , 1955 .

[12]  Walter W. Soroka,et al.  Tables of Rectangular Piston Radiation Impedance Functions, with Application to Sound Transmission Loss through Deep Apertures , 1972 .

[13]  P. Stepanishen.  The radiation impedance of a rectangular piston , 1977 .

[14]  W. L. Li,et al.  DETERMINATION OF THE MUTUAL RADIATION RESISTANCES OF A RECTANGULAR PLATE AND THEIR IMPACT ON THE RADIATED SOUND POWER , 2000 .

[15]  Elizabeth M. Arase.  Mutual Radiation Impedance of Square and Rectangular Pistons in a Rigid Infinite Baffle , 1964 .

[16]  G. B. Warburton,et al.  The Vibration of Rectangular Plates , 1954 .

[17]  Robin O. Cleveland,et al.  Radiation impedance matrices for rectangular interfaces within rigid baffles: Calculation methodology and applications , 2002 .