GREEN'S FUNCTION SYNTHESIS FOR SANDWICHED DISTRIBUTED PARAMETER SYSTEMS

1996 ◽  
Vol 191 (5) ◽  
pp. 613-627 ◽  
Author(s):  
G.G.G. Lueschen ◽  
L.A. Bergman
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Distributed Parameter Systems ◽  
Distributed Parameter

Green’s Function Synthesis for Layered Distributed Parameter Systems

1995 ◽  
Author(s):  
Gerhard G. G. Lueschen ◽  
Lawrence. A. Bergman
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Green's Functions ◽  
Green’S Functions ◽  
Coupled System ◽  
Layered Structures ◽  
Distributed Parameter Systems ◽  
New Method ◽  
Distributed Parameter ◽  
Fully Coupled

Abstract Dynamic Green’s functions for a class of layered distributed parameter systems are derived using a new method. The resulting system Green’s function, which is comprised of the elemental Green’s function of each of the substructures, defines the dynamics of the fully coupled system. Green’s functions for sandwiched beams with both identical and different layer properties are derived. The result retains the accuracy of the constituent elemental Green’s functions. The application of the method to other layered structures is immediate as long as the elemental Green’s functions of the substructures are known.

Closed-Form Transient Response of Distributed Damped Systems, Part I: Modal Analysis and Green’s Function Formula

1996 ◽  
Vol 63 (4) ◽  
pp. 997-1003 ◽  
Author(s):  
Bingen Yang
Keyword(s):  
Green’S Function ◽  
Modal Analysis ◽  
Closed Form ◽  
Distributed System ◽  
Transient Response ◽  
Green's Function ◽  
Eigenfunction Expansion ◽  
Distributed Parameter ◽  
Modal Expansion ◽  
Damped Systems

An analytical method is developed for closed-form estimation of the transient response of complex distributed parameter systems that are nonproportionally damped, and subject to arbitrary external, initial, and boundary excitations. A new modal analysis leads to the Green’s function formula for the distributed system and an eigenfunction expansion of the system Green’s function. The legitimacy of the modal expansion is also shown.

Distributed System Identification: A Green’s Function Approach

1976 ◽  
Vol 98 (2) ◽  
pp. 146-151 ◽  
Author(s):  
G. R. Spalding
Keyword(s):  
Green’S Function ◽  
Distributed System ◽  
Green's Function ◽  
Function Method ◽  
System Response ◽  
Distributed Parameter ◽  
Discrete Form ◽  
Modeling Process ◽  
Spatial Coordinates ◽  
Spatial Operators

A method is presented for identifying linear distributed parameter systems. Emphasis is placed on identification as a function of spatial coordinates by considering time-transformed, noise-free systems. Measurements of system response are combined with the Green’s function method of analysis to obtain integral equations that can be solved for unknown spatial operators or coefficients. A discrete form of the theory is developed, utilizing Chebyshev polynomials. This allows prior estimates to be used to determine the number and location of spatial measurements. Where estimates are of sufficient order, the modeling process is exact.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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