Derivation of Green's functions of complex structures using computeralgebra

AIAA Journal ◽  
1992 ◽  
Vol 30 (10) ◽  
pp. 2540-2545
Author(s):  
James A. Fabunmi ◽  
Peter C. Chang
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Complex Structures

A Mixture Theory for Response Fields in Complex Structures

1993 ◽  
Vol 115 (4) ◽  
pp. 516-523 ◽  
Author(s):  
G. Gillette
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Mixture Theory ◽  
Complex Structures ◽  
Interface Conditions ◽  
Outer Skin ◽  
Weakly Coupled ◽  
Coupled Subsystems ◽  
Formal Procedure ◽  
Total Structure

A formal procedure is developed for the calculation of fields when two (or more) component subsystems are thoroughly interlocked, so that their surface of contact extends through the total structure. Such a structure can properly be termed a structural mixture. An example is a system of frames and ribs which is completely covered by and connected to an outer skin (or shell) at a large number of points. The coupling between subsystems is accounted for in a global fashion, using Green’s functions for each of the subsystems, together with matching conditions at their interface. This leads in general to a pair of coupled integral equations, each giving the response in one of the two interpenetrating subsystems. For a disparate structural mixture comprised of “weakly-coupled” subsystems, the Green’s functions used are obtained for complementary (i.e., non-equivalent) homogeneous interface conditions. The equations can then be solved by an alternating perturbation procedure, which gives rise to a pair of coupled series. The procedure is applied to the calculation of waves in a beam stiffened at various points along its length by contact with a second subsystem. Numerical results are presented and their convergence is discussed.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional
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