scholarly journals An efficient Born normal mode method to compute sensitivity kernels and synthetic seismograms in the Earth

2005 ◽  
Vol 163 (2) ◽  
pp. 639-646 ◽  
Author(s):  
Y. Capdeville
Keyword(s):  
Normal Mode ◽  
Synthetic Seismograms ◽  
The Earth ◽  
Mode Method ◽  
Normal Mode Method

An Approximate Normal Mode Method for Damped Lumped Parameter Systems

1967 ◽  
Vol 89 (4) ◽  
pp. 597-604 ◽  
Author(s):  
A. Seireg ◽  
L. Howard
Keyword(s):  
White Noise ◽  
Normal Mode ◽  
Damping Ratio ◽  
Conservative System ◽  
Random Excitation ◽  
Mass System ◽  
Response Data ◽  
Lumped Parameter ◽  
Mode Method ◽  
Normal Mode Method

An approximate normal mode method is introduced which permits any linear non-conservative system to be solved by super position of uncoupled coordinates. Accuracy of the method was found to be good when checked by digital computer for dynamic damper systems subjected to sinusoidal and white noise random excitation. A technique is presented which permits a mathematical model for a damped multimass system to be constructed entirely from experimentally obtained sinusoidal frequency response data. An expression is derived for optimum damping ratio and natural frequency ratio that will minimize the response of a two-mass system to white noise random excitation.

ANALYTICAL TIME DOMAIN NORMAL MODE SOLUTION OF AN ACOUSTIC WAVEGUIDE WITH PERFECTLY REFLECTING WALLS

2013 ◽  
Vol 21 (02) ◽  
pp. 1250026 ◽  
Author(s):  
HÜSEYIN ÖZKAN SERTLEK ◽  
SERKAN AKSOY
Keyword(s):  
Normal Mode ◽  
Time Domain ◽  
Separation Of Variables ◽  
Wide Band ◽  
Frequency Component ◽  
Mode Method ◽  
Source Signal ◽  
Normal Mode Method ◽  
The Time Domain ◽  
Analytical Time

Solution of wide-band underwater acoustic problems with the classical Normal Mode method in the frequency domain needs to solve the problem repeating for every frequency component of the wide-band source signal. In this paper, a direct and causal analytical Time Domain Normal Mode Method is presented for arbitrary time-dependent acoustic sources for a single layered isovelocity waveguide. An incomplete separation of variables technique is used to solve the inhomogeneous wave equation, directly in the time domain. Therefore, it becomes possible to calculate the time domain acoustic pressure in a single run.

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