Three-Dimensional Indirect Boundary Element Method Formulation for Dynamic Analysis of Frames Buried in Semiinfinite Elastic Media

2006 ◽  
Vol 132 (9) ◽  
pp. 967-978 ◽  
Author(s):  
Federico Pinto ◽  
Carlos A. Prato
Keyword(s):  
Boundary Element Method ◽  
Dynamic Analysis ◽  
Boundary Element ◽  
Three Dimensional ◽  
Elastic Media ◽  
Indirect Boundary Element Method ◽  
Method Formulation ◽  
Element Method

scholarly journals Seismic response of three-dimensional rockfill dams using the Indirect Boundary Element Method

2010 ◽  
Vol 10 ◽  
pp. 012167
Author(s):  
Francisco J Sánchez-Sesma ◽  
Mauricio Arellano-Guzmán ◽  
Juan J Pérez-Gavilán ◽  
Martha Suarez ◽  
Humberto Marengo-Mogollón ◽  
...  
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Seismic Response ◽  
Three Dimensional ◽  
Indirect Boundary Element Method ◽  
Element Method

scholarly journals A Three-Dimensional Acoustic Boundary Element Method Formulation with Viscous and Thermal Losses Based on Shape Function Derivatives

2018 ◽  
Vol 26 (03) ◽  
pp. 1850039 ◽  
Author(s):  
V. Cutanda Henríquez ◽  
P. Risby Andersen
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Hearing Aids ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Sound Waves ◽  
Acoustic Transducers ◽  
Method Formulation ◽  
Acoustic Boundary Element ◽  
Element Method

Sound waves in fluids are subject to viscous and thermal losses, which are particularly relevant in the so-called viscous and thermal boundary layers at the boundaries, with thicknesses in the micrometer range at audible frequencies. Small devices such as acoustic transducers or hearing aids must then be modeled with numerical methods that include losses. In recent years, versions of both the Finite Element Method (FEM) and the Boundary Element Method (BEM) including viscous and thermal losses have been developed. This paper deals with an improved formulation in three dimensions of the BEM with losses which avoids the calculation of tangential derivatives on the surface by finite differences used in a previous BEM implementation. Instead, the tangential derivatives are obtained from the element shape functions. The improved implementation is demonstrated using an oscillating sphere, where an analytical solution exists, and a condenser microphone as test cases.

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