Line-Integral Approach to Computing Impedance Matrix Elements

2007 ◽  
Vol 55 (10) ◽  
pp. 2767-2772 ◽  
Author(s):  
John S. Asvestas ◽  
Henry J. Bilow
Keyword(s):  
Integral Approach ◽  
Impedance Matrix ◽  
Matrix Elements ◽  
Line Integral

Resonant-Frequency-Distribution of Internal Mass Inferred From Mechanical Impedance Matrices, With Application to Fuzzy Structure Theory

1995 ◽  
Author(s):  
Allan D. Pierce
Keyword(s):  
Total Mass ◽  
Mechanical Impedance ◽  
Structure Theory ◽  
Impedance Matrix ◽  
Internal Mass ◽  
Matrix Elements ◽  
Energy Functions ◽  
Resonant Frequencies ◽  
Potential Energy Functions ◽  
Force Components

Abstract The partitioning of internal mass among bands of resonant frequencies is addressed for a prototype internal vibrating structure with small damping, attached via an arbitrary number NA of attachment points to an external structure. Insofar as the dynamics of the latter are concerned, the internal structure is adequately described by a frequency-dependent impedance matrix, any given column of which lists the ratios of the 3NA force components induced by one of the attachment points’ velocity components when all of the other velocity components are held to zero. The properties of matrix elements and their frequency dependence are discussed in relation to principles of mechanics, especially the requirements of translational and rotational invariance of the potential energy functions. Among the deductions are that modal masses can be defined with values calculable solely from the impedance matrix measurements, and that the modal masses sum to the total mass of the internal vibrating system.

Surface electric fields and impedance matrix elements of stratified media

2000 ◽  
Vol 48 (10) ◽  
pp. 1533-1543 ◽  
Author(s):  
Leung Tsang ◽  
Chuag-Chi Huang ◽  
Chi Hou Chan
Keyword(s):  
Electric Fields ◽  
Stratified Media ◽  
Impedance Matrix ◽  
Matrix Elements

The line integral approach to radarclinometry

1987 ◽  
Vol 38 (1) ◽  
pp. 59-95 ◽  
Author(s):  
Robert L. Wildey
Keyword(s):  
Integral Approach ◽  
Line Integral
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