scholarly journals Numerical Simulation of Entropy Growth for a Nonlinear Evolutionary Model of Random Markets

2016 ◽  
Vol 2016 ◽  
pp. 1-3
Author(s):  
Mahdi Keshtkar ◽  
Hamidreza Navidi ◽  
Elyas Shivanian
Keyword(s):  
Numerical Simulation ◽  
Economic Model ◽  
Wealth Distribution ◽  
Evolutionary Model ◽  
Current Work ◽  
Numerical Examples ◽  
Evolutionary Problem ◽  
Asymptotic Equilibrium ◽  
Entropy Growth ◽  
Total Wealth

In this communication, the generalized continuous economic model for random markets is revisited. In this model for random markets, agents trade by pairs and exchange their money in a random and conservative way. They display the exponential wealth distribution as asymptotic equilibrium, independently of the effectiveness of the transactions and of the limitation of the total wealth. In the current work, entropy of mentioned model is defined and then some theorems on entropy growth of this evolutionary problem are given. Furthermore, the entropy increasing by simulation on some numerical examples is verified.

Dynamics of a Two-DOF Parallel Pointing Mechanism

2005 ◽  
Author(s):  
Alessandro Cammarata ◽  
Rosario Sinatra
Keyword(s):  
Numerical Simulation ◽  
Parallel Mechanism ◽  
Inverse Dynamics ◽  
Kinematic Model ◽  
Degree Of Freedom ◽  
Numerical Examples ◽  
Proposed Model ◽  
Dynamic Analyses ◽  
Moving Platform ◽  
Two Degree Of Freedom

This paper presents kinematic and dynamic analyses of a two-degree-of-freedom pointing parallel mechanism. The mechanism consists of a moving platform, connected to a fixed platform by two legs of type PUS (prismatic-universal-spherical). At first a simplified kinematic model of the pointing mechanism is introduced. Based on this proposed model, the dynamics equations of the system using the Natural Orthogonal Complement method are developed. Numerical examples of the inverse dynamics results are presented by numerical simulation.

Numerical Simulation Algorithm for the Forming Process of Tensile Cable-Strut Structure

2011 ◽  
Vol 250-253 ◽  
pp. 1375-1384
Author(s):  
Jun Zhao Zhao ◽  
Wu Jun Chen ◽  
Gong Yi Fu ◽  
Rui Xiong Li
Keyword(s):  
Numerical Simulation ◽  
Nonlinear Equation ◽  
Relaxation Method ◽  
Unstable Equilibrium ◽  
Force Density ◽  
Simulation Algorithm ◽  
Forming Process ◽  
Numerical Examples ◽  
Theoretical Significance ◽  
Curve Element

Numerical simulation of forming process is an issue that finds the solution of a series of unstable equilibrium states of cable-strut tensile structures with specific unstressed length. This is a long well unsolved theoretic question, which mostly lies in the couple of mechanism and elastic deformation. On the basis of the unstressed length, the theoretic parabolic curve element was adopted to simulate the cable with elastic tension and deformation. The vector of unbalance nodal force was subsequently formulated with the explicit branch-node matrix of topology in force-density method. And the dynamical relaxation method was used to solve the nonlinear equation to avoid the singular stiffness of equation. Numerical examples indicated that the proposed algorithm could calculate the unstable equilibrium state and simulate the forming process with the unstressed length of the active cables changing, and has some theoretical significance.

The Numerical Simulation for Vibroacoustic Phenomena of a Slender Elastic Shell

2012 ◽  
Vol 479-481 ◽  
pp. 1365-1370
Author(s):  
Zhi Xi Yang ◽  
Sheng Hua Qiu
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Thin Shell ◽  
Acoustic Pressure ◽  
Pressure Field ◽  
Elastic Shell ◽  
Numerical Examples ◽  
Longitudinal Acoustic ◽  
3 Dimensional ◽  
Variational Formulas

The vibroacoustic phenomena for the slender elastic thin shell filled with water by finite element method is introduced in this paper. The unsymmetric (u, p) variational formulas and finite element procedures are implemented for 3 dimensional structures of vibroacoustic environment based on the displacement field u and the fluid acoustic pressure field p. As illustrated by numerical examples, the longitudinal acoustic pressure eigenmodes will be occurred besides the transverse bendable eigenmodes of the slender shell, nonetheless the eigenvalues and the order of eigenmodes for the fluid acoustic pressure field can only be determined by the flexibility and geometry stiffness of the slender shell.

A New Semi-Analytical Solution of the Telegraph Equation with Integral Condition

2011 ◽  
Vol 66 (12) ◽  
pp. 760-768 ◽  
Author(s):  
S. Abbasbandy ◽  
H. Roohani Ghehsarehb
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Iterative Algorithm ◽  
Homotopy Analysis Method ◽  
Integral Condition ◽  
Telegraph Equation ◽  
Current Work ◽  
Analysis Method ◽  
Numerical Examples ◽  
Homotopy Analysis

In the current work, the telegraph equation in its general form and with an integral condition is investigated. Also the well-known homotopy analysis method (HAM) is applied and an interesting iterative algorithm is proposed for solving the problem in general form. Some numerical examples are given and compared with the exact solution to show the effectiveness of the proposed method.

Numerical Simulation of Polymeric Gels

2015 ◽  
Author(s):  
Shawn A. Chester
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Steady State ◽  
Large Deformation ◽  
Governing Equations ◽  
Numerical Examples ◽  
Polymeric Gels ◽  
Finite Element Package ◽  
Fluid Diffusion ◽  
Transient And Steady State

Following [1], a theory for coupled fluid diffusion and large deformation is implemented as a user-element subroutine in the commercial finite element package ABAQUS. The governing equations are summarized along with details of the constitutive theory. A few numerical examples are provided to show the robustness of this methodology in both transient and steady state conditions.

An economic model for integrated roading, yarding, and hauling operations on two alternative harvest unit landings

2014 ◽  
Vol 44 (12) ◽  
pp. 1487-1493
Author(s):  
Francis E. Greulich
Keyword(s):  
Economic Model ◽  
Road Construction ◽  
Bilevel Optimization ◽  
Timber Harvesting ◽  
Numerical Examples

This paper presents an economic model for the optimization of a vertically integrated timber harvesting operation. The operations of road construction, timber yarding, and log truck hauling are collectively optimized. The harvest unit has two centralized landings that are to be accessed by truck road from a single existing road takeoff point. The harvest unit is located on level, unvarying terrain with uniformly distributed log turns. Formulas for the optimal yarding boundary between the landings, areas yarded to each landing, and the average yarding distances are derived. These formulas are then used in the bilevel optimization of a vertically integrated timber harvesting operation. Numerical examples are presented and discussed.

scholarly journals WEALTH INEQUALITY: DATA AND MODELS

2008 ◽  
Vol 12 (S2) ◽  
pp. 285-313 ◽  
Author(s):  
Marco Cagetti ◽  
Mariacristina De Nardi
Keyword(s):  
United States ◽  
Wealth Distribution ◽  
Economic Models ◽  
Wealth Inequality ◽  
The United States ◽  
Total Wealth

In the United States wealth is highly concentrated and very unequally distributed: the richest 1% hold one third of the total wealth in the economy. Understanding the determinants of wealth inequality is a challenge for many economic models. We summarize some key facts about the wealth distribution and what economic models have been able to explain so far.

Two Dimension Numerical Simulation of Airflow over Complex Terrains at Low Altitude

2013 ◽  
Vol 756-759 ◽  
pp. 4728-4734
Author(s):  
Chu Tang ◽  
Huan Ran Hu ◽  
Guan Xin Hong
Keyword(s):  
Numerical Simulation ◽  
Wind Field ◽  
Simulation Method ◽  
Two Dimensional ◽  
Numerical Examples ◽  
Spline Curve ◽  
Flight Simulators ◽  
Low Altitude ◽  
Flow Theories ◽  
Cubic Spline Curve

In order to avoid the problems of existing methods, a numerical simulation method for two-dimensional airflow over complex terrains is developed in this paper for the engineering use of flight dynamics. Based on the potential flow theories, the effects of terrains on the wind field are considered by a serial of two-dimensional vortexes, whose strengths are solved by combining with the ground boundary conditions. Numerical examples are studied by the proposed method, and the method is also evaluated by comparing the results with ones from the existing method. The result shows that the two-dimensional profile of complex terrains could be described by a cubic spline curve precisely. The computation procedure proposed in this paper is very simple and efficient, and it could provide a result of wind field with considerable accuracy. Therefore, this method could be used for flight principle evaluation and flight simulators. Finally, through simulate flight path, discussing effect of terrains on track.

Numerical Simulation of Optical Trap Systems

2007 ◽  
Author(s):  
Radha Muddu ◽  
Steve Wereley
Keyword(s):  
Numerical Simulation ◽  
Diffusion Coefficient ◽  
Time Scales ◽  
Optical Trap ◽  
Current Work ◽  
Exact Match ◽  
Novel Method ◽  
Optically Trapped ◽  
Inertia Forces ◽  
Theoretical Results

The current work deals with numerical simulation of optical trap systems at time scales varying from very small to very large. This analysis is important to understand the effects of different forces acting on the optically trapped particle. The significance of inertia forces are also evaluated at these time scales. A novel method of computing diffusion coefficient from the simulated values is proposed. It has been shown that the computed values of the diffusion coefficient are an exact match to the theoretical results.

Coupled Fluid-Solid Problems: Survey on Numerical Approaches and Applications

2003 ◽  
Author(s):  
Michael Scha¨fer
Keyword(s):  
Numerical Simulation ◽  
Numerical Solution ◽  
Computational Efficiency ◽  
Numerical Accuracy ◽  
Numerical Examples ◽  
Coupling Mechanisms ◽  
Numerical Approaches

The paper gives a survey on relevant topics related to the numerical simulation of coupled fluid-solid problems. Firstly, the corresponding problems are classified according to different possible coupling mechanisms. The modelling of the problems within a continuum mechanical framework are discussed and numerical aspects related to discretization and solution procedures are addressed. Exemplary approaches for these issues are indicated. A variety of numerical examples involving various coupling mechanisms are presented, including a discussion of questions of numerical accuracy and computational efficiency of numerical solution procedures.

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