Numerical Modeling of One-Dimensional Wave Propagation in Non-Homogeneous Materials

2012 ◽  
pp. 111-127
Author(s):  
Arnaldo J. Mazzei ◽  
Richard A. Scott
Keyword(s):  
Numerical Modeling ◽  
Wave Propagation ◽  
One Dimensional ◽  
Homogeneous Materials ◽  
Dimensional Wave

Longitudinal Collision of Rod-Rigid Element Systems

1983 ◽  
Vol 50 (3) ◽  
pp. 637-640 ◽  
Author(s):  
A. Mioduchowski ◽  
M. G. Faulkner ◽  
A. Pielorz ◽  
W. Nadolski
Keyword(s):  
Wave Propagation ◽  
Elastic Rods ◽  
Propagation Theory ◽  
One Dimensional ◽  
Rigid Element ◽  
Dimensional Wave

One-dimensional wave propagation theory is used to investigate the forces, velocities, and displacements in a series of elastic rods connected to rigid elements. The method is applied to the case of two subsystems that collide. The technique allows the calculations to be done during a short-lived event such as a collision.

Impact and One-Dimensional Wave Propagation

1997 ◽  
pp. 125-171
Author(s):  
H.R. Harrison ◽  
T. Nettleton
Keyword(s):  
Wave Propagation ◽  
One Dimensional ◽  
Dimensional Wave

Fracture of Lucite Cones by Shock Waves

1972 ◽  
Vol 39 (2) ◽  
pp. 390-394
Author(s):  
W. N. Sharpe
Keyword(s):  
Wave Propagation ◽  
Shock Waves ◽  
Tensile Stress ◽  
Fracture Criterion ◽  
Leading Edge ◽  
Propagation Theory ◽  
One Dimensional ◽  
Cone Axis ◽  
Cone Apex ◽  
Dimensional Wave

A compressive pulse applied to the base of a cone develops a tensile tail as it propagates toward the cone apex. This tension can cause fracture of the cone perpendicular to the cone axis before the leading edge of the pulse reaches the tip. It is shown that the elementary one-dimensional wave-propagation theory for cones and a time-independent critical tensile stress fracture criterion adequately describe the fracture of lucite cones subjected to narrow rectangular compressive pulses between 1 and 7 kilobars in magnitude.

Higher-Order Homogenization for One-Dimensional Wave Propagation in Poroelastic Composites

2013 ◽  
Author(s):  
A. M. Kudarova ◽  
K. N. van Dalen ◽  
G. G. Drijkoningen
Keyword(s):  
Wave Propagation ◽  
Higher Order ◽  
One Dimensional ◽  
Dimensional Wave

Absorbing boundary layer control for linear one-dimensional wave propagation problems

2016 ◽  
Vol 24 (6) ◽  
pp. 1019-1031 ◽  
Author(s):  
Daniel Ritzberger ◽  
Alexander Schirrer ◽  
Stefan Jakubek
Keyword(s):  
Boundary Layer ◽  
Wave Propagation ◽  
Absorbing Boundary Conditions ◽  
Boundary Layer Control ◽  
Reference Trajectory ◽  
Computationally Efficient ◽  
Absorbing Boundary ◽  
One Dimensional ◽  
Layer Control ◽  
Dimensional Wave

In this work, a boundary layer control scheme for one-dimensional wave propagation problems is presented that provides reflection-less absorption of incident waves in numerical simulations. The desired absorption properties are formulated as an optimization problem. By using the dispersion relation to predict the unbounded wave propagation as a reference trajectory, a constant-gain state-feedback boundary layer controller is found. Since no additional auxiliary variables are introduced, this approach is highly computationally efficient, making it suitable for simulations under real-time requirements. The performance of the boundary layer controller is first evaluated and demonstrated on the scalar wave equation (vibrating string), for which reference absorbing boundary conditions are well established. Afterward, the moving Euler–Bernoulli beam under axial tension is considered, for which a good absorbing performance is achieved.

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