Numerical simulation and analysis of the Swift–Hohenberg equation by the stabilized Lagrange multiplier approach

2021 ◽  
Vol 41 (1) ◽  
Author(s):  
Junxiang Yang ◽  
Junseok Kim
Keyword(s):  
Numerical Simulation ◽  
Lagrange Multiplier

Dynamics Analysis of a Sinking Winch Mechanism

2011 ◽  
Vol 105-107 ◽  
pp. 454-457
Author(s):  
Xing Guo Shao ◽  
Zhen Cai Zhu ◽  
Guo Hua Cao ◽  
Yi Lei Li
Keyword(s):  
Numerical Simulation ◽  
Dynamic Analysis ◽  
Lagrange Multiplier ◽  
Simulation Study ◽  
Equations Of Motion ◽  
Dynamics Analysis ◽  
Unilateral Constraints ◽  
Dynamics Model ◽  
Midpoint Method ◽  
Smooth Dynamics

This paper investigates the dynamics of a sinking winch mechanism in the framework of non-smooth dynamics. The previous works ignored the unilateral property of the cable (it can only pull the platform but can’t push it), which is specially taken into consideration in this paper. We propose the set-valued tension law to model the unilateral constraints of the cables. The equations of motion are derived by use of the Lagrange multiplier method. The dynamics model of the mechanism is obtained by combining the equations of motion and the set-valued tension law. Its solution is solved by the Moreau midpoint method. We present a numerical simulation study to demonstrate that the non-smooth dynamics framework is effective and suitable for the dynamic analysis of the sinking winch mechanism.

scholarly journals Numerical iteration for nonlinear oscillators by Elzaki transform

2019 ◽  
Vol 39 (4) ◽  
pp. 879-884 ◽  
Author(s):  
Naveed Anjum ◽  
Muhammad Suleman ◽  
Dianchen Lu ◽  
Ji-Huan He ◽  
Muhammad Ramzan
Keyword(s):  
Numerical Simulation ◽  
Laplace Transform ◽  
Lagrange Multiplier ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Nonlinear Oscillators ◽  
High Accuracy ◽  
Numerical Iteration ◽  
The Laplace Transform ◽  
Iteration Methods

Iteration methods are widely used in numerical simulation. This paper suggests the Elzaki transform in the variational iteration method for simple identification of the Lagrange multiplier. The Elzaki transform is a modification of the Laplace transform, and it is extremely useful for treating with nonlinear oscillators as illustrated in this paper, a single iteration leads to a high accuracy of the solution.

Water uptake by substituted amylose tablets: experimentation and numerical simulation

2009 ◽  
Vol 00 (00) ◽  
pp. 090904073309027-8
Author(s):  
H.W. Wang ◽  
S. Kyriacos ◽  
L. Cartilier
Keyword(s):  
Numerical Simulation ◽  
Water Uptake
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