AN EXACT TRANSFER MATRIX FORMULATION OF PLANE SOUND WAVE TRANSMISSION IN INHOMOGENEOUS DUCTS

1998 ◽  
Vol 217 (5) ◽  
pp. 869-882 ◽  
Author(s):  
E. Dockumaci
Keyword(s):  
Transfer Matrix ◽  
Sound Wave ◽  
Wave Transmission ◽  
Matrix Formulation ◽  
Plane Sound

scholarly journals Reflection function of a plane sound wave in a cylindrical tube

1987 ◽  
Vol 22 (5) ◽  
pp. 331-337 ◽  
Author(s):  
J.D. Polack ◽  
X. Meynial ◽  
J. Kergomard ◽  
C. Cosnard ◽  
M. Bruneau
Keyword(s):  
Sound Wave ◽  
Cylindrical Tube ◽  
Reflection Function ◽  
Plane Sound

An approximate method in high-frequency scattering

1962 ◽  
Vol 58 (4) ◽  
pp. 662-670
Author(s):  
A. Sharples
Keyword(s):  
Boundary Condition ◽  
Circular Cylinder ◽  
Integral Representation ◽  
Sound Wave ◽  
High Frequency ◽  
Correction Term ◽  
Scattering Coefficient ◽  
Extended Form ◽  
Geometrical Acoustics ◽  
Plane Sound

ABSTRACTThe diffraction of a high-frequency plane sound wave by a circular cylinder is investigated when the boundary condition on the cylinder is expressed by means of an equation of the form The special feature of this investigation is that an extended form of the Kirchhoff-Fresnel theory of diffraction is used to find an integral representation for the scattering coefficient. In order to avoid the complicated analysis which would be necessary to evaluate the integrals concerned, the more natural geometrical acoustics approach is used to find the first correction term in the scattering coefficient. Numerical results are given for large and small values of the impedance Z.

A transfer matrix formulation of an electromechanical Helmholtz resonator

2005 ◽  
Vol 118 (3) ◽  
pp. 1944-1944 ◽  
Author(s):  
Fei Liu ◽  
Lou Cattafesta ◽  
Mark Sheplak ◽  
Stephen Horowitz ◽  
Toshi Nishida
Keyword(s):  
Transfer Matrix ◽  
Helmholtz Resonator ◽  
Matrix Formulation

Dynamic Simulation of Compressor Station Operation Including Centrifugal Compressor and Gas Turbine

1991 ◽  
Vol 113 (2) ◽  
pp. 300-311 ◽  
Author(s):  
K. K. Botros ◽  
P. J. Campbell ◽  
D. B. Mah
Keyword(s):  
Dynamic Simulation ◽  
Transfer Matrix ◽  
Numerical Technique ◽  
Nonlinear Partial Differential Equations ◽  
Field Measurements ◽  
Compressor Station ◽  
Algebraic Equations ◽  
Gas Dynamics Equations ◽  
Matrix Formulation ◽  
Simulation Results

Dynamic simulation of the operation of a compressor station requires mathematical modeling of the dynamic behavior of the compressor unit and various piping elements. Such models consist of large systems of nonlinear partial differential equations describing the pipe flow together with nonlinear algebraic equations describing the quasi-steady flow through various valves, constrictions, and compressors. In addition, the models also include mathematical descriptions of the control system, which consists of mixed algebraic and ordinary differential (mad) equations with some inequalities representing controllers’ limits. In this paper a numerical technique for the solution of the gas dynamics equations is described, based on the transfer matrix formulation relating the state vector time difference at one side of an element to that on the other side. This approach facilitates incorporation of all element transfer matrices into an overall transfer matrix according to the system geometric connectivity. The paper also presents simulation results and comparison with actual field measurements of three case histories: (1) simulation of a compressor surge protection control process; (2) unit startup; and (3) slow transient of a compressor station responding to changes in the discharge pressure set point. Good agreement between simulation results and field measurements is demonstrated.

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