scholarly journals Application of the boundary integral element method to the acoustic filter plate

1985 ◽  
Vol 77 (S1) ◽  
pp. S25-S25
Author(s):  
Stephen D. Mobbs
Keyword(s):  
Boundary Integral ◽  
Integral Element ◽  
Element Method

An analysis of misaligned spline couplings

2002 ◽  
Vol 216 (5) ◽  
pp. 269-278 ◽  
Author(s):  
S Medina ◽  
A. V. Olver
Keyword(s):  
Boundary Integral ◽  
Wear Behaviour ◽  
Dimensionless Parameters ◽  
Shaft Rotation ◽  
Wear Pattern ◽  
Integral Element ◽  
Element Method

The evolution of slip and pressure between the teeth of involute side-fit spline couplings subjected to a steady torque and a rotating misalignment has been studied, using the boundary integral element method. Results show that the tooth load and pressure oscillate during shaft rotation while the teeth undergo a complex cycle of slip. Approximate formulae are provided in order to describe the pressure and wear behaviour of the coupling in terms of dimensionless parameters. The wear pattern on a spline tooth was correctly predicted.

scholarly journals Fully Dynamic Earthquake Cycle Simulations on a Nonplanar Fault Using the Spectral Boundary Integral Element Method (sBIEM)

2021 ◽  
Author(s):  
Pierre Romanet ◽  
So Ozawa
Keyword(s):  
Boundary Integral ◽  
Earthquake Cycle ◽  
Fault Geometry ◽  
Dynamic Rupture ◽  
Local Curvature ◽  
Main Effect ◽  
Normal Traction ◽  
Integral Element ◽  
Time Formulation ◽  
Element Method

ABSTRACT One of the most suitable methods for modeling fully dynamic earthquake cycle simulations is the spectral boundary integral element method (sBIEM), which takes advantage of the fast Fourier transform (FFT) to make a complex numerical dynamic rupture tractable. However, this method has the serious drawback of requiring a flat fault geometry due to the FFT approach. Here, we present an analytical formulation that extends the sBIEM to a mildly nonplanar fault. We start from a regularized boundary element method and apply a small-slope approximation of the fault geometry. Making this assumption, it is possible to show that the main effect of nonplanar fault geometry is to change the normal traction along the fault, which is controlled by the local curvature along the fault. We then convert this space–time boundary integral equation of the normal traction into a spectral-time formulation and incorporate this change in normal traction into the existing sBIEM methodology. This approach allows us to model fully dynamic seismic cycle simulations on nonplanar faults in a particularly efficient way. We then test this method against a regular BIEM for both rough-fault and seamount-fault geometries and demonstrate that this sBIEM maintains the scaling between the fault geometry and slip distribution.

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