scholarly journals A nonlinear perturbation study of a shoreface nourishment on a multiply barred beach

2021 ◽  
Vol 214 ◽  
pp. 104317
Author(s):  
W.L. Chen ◽  
N. Dodd
Keyword(s):  
Nonlinear Perturbation

CASE STUDY OF THE CONVERGENCY OF NONLINEAR PERTURBATION SERIES: MORSE–FESHBACH NONLINEAR SERIES

1999 ◽  
Vol 14 (13) ◽  
pp. 2103-2115 ◽  
Author(s):  
BISWANATH RATH
Keyword(s):  
New York ◽  
Energy Levels ◽  
Perturbation Series ◽  
Nonlinear Perturbation ◽  
Theoretical Physics ◽  
The Matrix ◽  
Diagonalization Method ◽  
Matrix Diagonalization ◽  
Divergent Behavior

We study the divergent behavior of the Morse–Feshbach nonlinear perturbation series (MFNS) [P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II (McGraw-Hill, New York, 1953)] for producing convergent energy levels using the ground state of a quartic anharmonic oscillator (AHO) in the strong coupling limit. Numerical calculations have been done up to tenth order. Further comparison of the MFNS convergent result has been made with the matrix diagonalization method.

On a convergent nonlinear perturbation theory without small denominators or secular terms

1976 ◽  
Vol 17 (1) ◽  
pp. 121-140 ◽  
Author(s):  
Charles R. Eminhizer ◽  
Robert H. G. Helleman ◽  
Elliott W. Montroll
Keyword(s):  
Perturbation Theory ◽  
Nonlinear Perturbation ◽  
Small Denominators ◽  
Secular Terms

A Study on the Instability of Disk-Shaped Gear

1999 ◽  
Author(s):  
Guangming Ren ◽  
Litang Yan
Keyword(s):  
Perturbation Method ◽  
Traveling Wave ◽  
Vibration Characteristics ◽  
Exciting Force ◽  
Nonlinear Perturbation ◽  
The Self ◽  
Experimental Investigations ◽  
Damping Force ◽  
Bevel Gears ◽  
Theory And Experiment

Abstract In this paper the theory and experiment concerning vibration instability of disk-shaped gear are presented. At first the self-exciting force of gear is searched and the works done by the exciting force and damping force are analyzed. Then the vibration instability of the disk-shaped plain gear is studied with multiple scale’s method of the nonlinear perturbation method. The vibration characteristics of a coupled pair of bevel gears are investigated experimentally. Both theoretical and experimental investigations show that there are actually self-exciting vibrations on the gear. Under certain conditions the forward traveling wave vibration of the driving gear and the backward traveling wave vibration of the driven gear can be instable.

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