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A Solution Domain Boundary Analysis Method and Its Application in Parameter Spaces of Nonlinear Gear System
control parameter space solution domain boundary analysis
2011/8/4
Mastering the influence laws of parameters on the solution structure of nonlinear systems is the basis of carrying out vibration isolation and control. Many researches on solution structure and bifurc...
A Solution Domain Boundary Analysis Method and Its Application in Parameter Spaces of Nonlinear Gear System
control parameter space solution domain boundary analysis
2011/8/4
Mastering the influence laws of parameters on the solution structure of nonlinear systems is the basis of carrying out vibration isolation and control. Many researches on solution structure and bifurc...
Analytical solution for solute transport along and against time dependent source concentration in homogeneous finite aquifers
Aquifer Solute transport Contaminant concentration
2010/9/26
A solute transport equation is analytically solved to predict the contaminant concentration distribution along and against transient groundwater flow in finite aquifer. The horizontal dispersion along...
Identification of the solution of the Burgers equation on a finite interval via the solution of an appropriate stochastic control problem
Stochastic Control Theory Lagrangain Brownian motion
2010/9/26
Solution of the inhomogeneous Burgers equation with given homogeneous Initial/Dirichlet boundary conditions are identified by a stochastic control problem. Our approach consists of identifying the sol...
Algebraically explicit analytical solution of three-dimensional hyperbolic heat conduction equation
Hyperbolic heat conduction Relaxation time
2010/11/25
In this paper, the three-dimensional hyperbolic effect subjected to a cosine heat flux boundary condition is carried out. Equations in rectangular coordinates are solved. Analytical solution with meth...
Coupled method of homotopy perturbation method and variational approach for solution to nonlinear cubic-quintic Duffing oscillator
Nonlinear Oscillators Variational formulation
2010/11/25
This paper presents a new approach for solving approximate analytical higher order solutions for strong nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. The system is conser...
Application of He's amplitude - frequency formulation for periodic solution of nonlinear oscillators
Nonlinear Oscillators He’s Amplitude-Frequency Formulation
2010/11/25
In this paper, a powerful analytical method, called He’s amplitude-frequency formulation (HAFF) is used to obtain a periodic solution of nonlinear oscillators differential equation that governs the os...
Explicit analytic solution for stagnation flow and heat transfer on a moving plate
Nonlinear differential equations stagnation flow
2010/9/27
In this article, we use an efficient analytical method called homotopy analysis method (HAM) to derive an approximate solution of stagnation flow on a moving solid boundary. Actually, we solved the Na...
Analytical Solution of Nonlinear Strain Hardening Preheated Pressure Tube
Pressurized tube Stress analysis Elastoplasticity Nonlinear hardening Tresca’s criterion
2009/10/9
The analytical solution of a nonlinear strain hardening preheated tube subjected to internal pressure is presented. Ast ate of generalized plane strain, small deformations, and temperature gradients a...
Solution of fractional order Rayleigh-Stokes equations
Rayleigh-Stokes problem Laplace transform
2010/9/27
Fourier sine transform and Laplace transform are used for solving the Stokes’ first problem and the Rayleigh-Stokes problem for a generalized second grade fluid with fractional derivative. Exact solut...
Homotopy analysis solution of micro-polar flow in a porous channel with high mass transfer
Homotopy analysis method (HAM) micropolar fluid
2010/9/27
In this Letter, the problem of two-dimensional flow of a micropolar fluid in a porous channel with high mass transfer is presented and the homotopy analysis method (HAM) is employed to compute an appr...
3-D inverse solution for continuous casting taking an air cap into consideration
Application of information technology to the foundry industry Boundary inverse problem
2011/3/17
The paper discusses a 3-D numerical solution of the inverse boundary problem for a continuous casting process of an aluminium alloy. Since the verified information on the heat flux distribution is cru...
Analytical Approximate Solution for Decaying Laminar Swirling Flows within A Narrow Annulus
Swirling Flows Narrow Annulus Vortex Decay
2010/1/15
Analytical solutions of the Navier-Stokes equations for laminar fully developed flow in a cylindrical annulus for decaying
swirling flows have been derived for narrow- gap geometry. Expressions are d...