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

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

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.


Author(s):  
Thomas E. Schellin ◽  
Ould El Moctar

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.


1970 ◽  
Vol 37 (3) ◽  
pp. 720-727 ◽  
Author(s):  
W. D. Iwan

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.


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