Determination of stopband characteristics of asymmetrically loaded helix slow wave structures with Auxiliary Functions of Generalized Scattering Matrix (AFGSM) method

2018 ◽  
Vol 95 ◽  
pp. 271-278
Author(s):  
Agah Oktay Ertay ◽  
Serkan Şimşek
Keyword(s):  
Slow Wave ◽  
Scattering Matrix ◽  
Auxiliary Functions ◽  
Generalized Scattering Matrix

Elastic Layer Pressed Against a Half Space

1974 ◽  
Vol 41 (3) ◽  
pp. 703-707 ◽  
Author(s):  
K. C. Tsai ◽  
J. Dundurs ◽  
L. M. Keer
Keyword(s):  
Eigenvalue Problem ◽  
Integral Equations ◽  
Half Space ◽  
Elastic Layer ◽  
Numerical Results ◽  
Fredholm Integral Equations ◽  
Auxiliary Functions ◽  
Receding Contact ◽  
Two Bodies

The paper considers the elastic layer which is pressed against a half space by loads that are not necessarily symmetric about the center of the loaded region. It is shown that the receding contact between the two bodies can be treated by means of superposition, leading to two homogeneous Fredholm integral equations for auxiliary functions that are directly related to the contact tractions. The determination of the extent of contact and the shift between the load and contact intervals can be viewed as an eigenvalue problem of the homogeneous integral equations. Specific numerical results are given for two types of triangular loads, and a comparison is made with certain symmetric loads.

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