Numerical procedure for calculating finite‐amplitude distortion in a one‐dimensional standing wave

1974 ◽  
Vol 55 (S1) ◽  
pp. S50-S50
Author(s):  
A. L. Van Buren
Keyword(s):  
Standing Wave ◽  
Numerical Procedure ◽  
Finite Amplitude ◽  
One Dimensional ◽  
Amplitude Distortion

One-dimensional motion of slow atoms in a standing-wave field

1990 ◽  
Vol 42 (7) ◽  
pp. 4032-4036 ◽  
Author(s):  
Y. Z. Wang ◽  
W. Q. Cai ◽  
Y. D. Cheng ◽  
L. Liu ◽  
Y. Luo ◽  
...  
Keyword(s):  
Wave Field ◽  
Standing Wave ◽  
One Dimensional ◽  
Standing Wave Field

Finite Amplitude Distortion

1957 ◽  
Vol 29 (6) ◽  
pp. 763-763
Author(s):  
Clayton H. Allen
Keyword(s):  
Finite Amplitude ◽  
Amplitude Distortion

scholarly journals On sound waves of finite amplitude

1953 ◽  
Vol 216 (1127) ◽  
pp. 539-547 ◽  
Keyword(s):  
Integral Equation ◽  
Analytical Solution ◽  
Arbitrary Function ◽  
Initial Conditions ◽  
Finite Amplitude ◽  
Sound Waves ◽  
One Dimensional ◽  
The One ◽  
Complex Integral ◽  
Gas Cloud

An analytical solution of Riemann’s equations for the one-dimensional propagation of sound waves of finite amplitude in a gas obeying the adiabatic law p = k ρ γ is obtained for any value of the parameter γ. The solution is in the form of a complex integral involving an arbitrary function which is found from the initial conditions by solving a generalization of Abel’s integral equation. The results are applied to the problem of the expansion of a gas cloud into a vacuum.

Numerical Prediction of Impact-Related Wave Loads on Ships

2006 ◽  
Author(s):  
Thomas E. Schellin ◽  
Ould El Moctar
Keyword(s):  
Stokes Equations ◽  
Numerical Procedure ◽  
Finite Amplitude ◽  
Navier Stokes ◽  
Ship Motions ◽  
Normal Velocity ◽  
Wave Loads ◽  
Critical Areas ◽  
Strip Theory ◽  
A Chain

We present a numerical procedure to predict impact-related wave-induced (slamming) loads on ships. The procedure was applied to predict slamming loads on two ships that feature a flared bow with a pronounced bulb, hull shapes typical of modern offshore supply vessels. The procedure used a chain of seakeeping codes. First, a linear Green function panel code computed ship responses in unit amplitude regular waves. Wave frequency and wave heading were systematically varied to cover all possible combinations likely to cause slamming. Regular design waves were selected on the basis of maximum magnitudes of relative normal velocity between ship critical areas and wave, averaged over the critical areas. Second, a nonlinear strip theory seakeeping code determined ship motions under design wave conditions, thereby accounting for the ship’s forward speed, the swell-up of water in finite amplitude waves, as well as the ship’s wake that influences the wave elevation around the ship. Third, these nonlinearly computed ship motions constituted part of the input for a Reynolds-averaged Navier-Stokes equations (RANSE) code that was used to obtain slamming loads. Favourable comparison with available model test data validated the procedure and demonstrated its capability to predict slamming loads suitable for design of ship structures.

On the Steady-State Response of a One-Dimensional Yielding Continuum

1970 ◽  
Vol 37 (3) ◽  
pp. 720-727 ◽  
Author(s):  
W. D. Iwan
Keyword(s):  
Steady State ◽  
Standing Wave ◽  
Steady State Response ◽  
Higher Modes ◽  
One Dimensional ◽  
State Response ◽  
Wave Response ◽  
Response Modes ◽  
Damped Systems

The steady-state or standing wave response of a bounded one-dimensional yielding continuum is investigated using an approximate analytic technique. Details of the nature of the fundamental and higher modes of response are presented. It is found that the effective damping in the higher response modes may be quite small compared to that of linear viscous damped systems.

Sign in / Sign up

Export Citation Format

Share Document