Nonlinear-elastic strain of underwater pipeline in laying process

Analysis and Approximation of a Strain-limiting Nonlinear Elastic Model

Elastic solids with strain-limiting response to external loading represent an interesting class of material models, capable of describing stress concentration at strains with small magnitude. A theoretical justification of this class of models comes naturally from implicit constitutive theory. We investigate mathematical properties of static deformations for such strain-limiting nonlinear model...

Spectral Approximation of a Nonlinear Elastic Limiting Strain Model

We construct a numerical algorithm for the approximate solution of a nonlinear elastic limiting strain model based on the Fourier spectral method. The existence and uniqueness of the numerical solution is proved. Assuming that the weak solution to the boundary-value problem possesses suitable Sobolev regularity, the sequence of numerical solutions is shown to converge to the weak solution of th...

Nonlinear Robust Tracking Control of an Underwater Vehicle-Manipulator System

This paper develops an improved robust multi-surface sliding mode controller for a complicated five degrees of freedom Underwater Vehicle-Manipulator System with floating base. The proposed method combines the robust controller with some corrective terms to decrease the tracking error in transient and steady state. This approach improves the performance of the nonlinear dynamic control scheme a...

Nonlinear Underwater Acoustics

Chapter 2. Methods of calculation of Nonlinear interactions in sound beams Small parameters used in the calculation of wave interactions Solution of the equations of hydrodynamics by the method of successive approximations Calculation of the secondary field by the Green's function method: The Westervelt formula Estimates of the basic characteristics of parametric radiators by means of nomograms...

Nonlinear Elastic