Boundary Equations with Projections and the Method of Difference Potentials

2006 ◽  
pp. 483-506
Author(s):  
Victor S. Ryaben’kii ◽  
Semyon V. Tsynkov
Keyword(s):  
Difference Potentials ◽  
Boundary Equations

Semi-empirical evaluation of Sr-Ar difference potentials

1986 ◽  
Vol 47 (7) ◽  
pp. 1149-1154
Author(s):  
Le Quang Rang ◽  
D. Voslamber
Keyword(s):  
Empirical Evaluation ◽  
Difference Potentials ◽  
Semi Empirical

scholarly journals Dissipation Effect On A Free Convection Flow Past A Porous Vertical Plate

1970 ◽  
Vol 6 (1) ◽  
pp. 52-59
Author(s):  
Amena Ferdousi ◽  
MA Alim
Keyword(s):  
Free Convection ◽  
Vertical Plate ◽  
Numerical Study ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Box Scheme ◽  
Flow Through ◽  
Implicit Finite Difference ◽  
Boundary Equations

A Numerical study on the effect of dissipation on a steady free convection flow through a porous vertical plate is made. The relevant non-leaner boundary equations are made dimensionless using specific non-dimensional variables. The corresponding non-similar partial differential equations are solved using implicit finite difference method with Keller-Box scheme. The results are then presented graphically and discussed thereafter. Keywords: porous plate; viscous dissipation; natural convection. DOI: http://dx.doi.org/10.3329/diujst.v6i1.9334 DIUJST 2011; 6(1): 52-59

Difference potentials for the Helmholtz equation in exterior domains

2000 ◽  
Vol 33 (1-4) ◽  
pp. 533-540 ◽  
Author(s):  
Victor S. Ryaben'kii ◽  
Ivan L. Sofronov
Keyword(s):  
Helmholtz Equation ◽  
Exterior Domains ◽  
Difference Potentials

Workspace Cusp Locations, and Simplified Workspace Boundary Equations for General RRR Regional Structures of Manipulators

1996 ◽  
Author(s):  
Peregrine E. J. Riley ◽  
Louis E. Torfason
Keyword(s):  
Complex Geometry ◽  
Spatial Location ◽  
Polynomial Equation ◽  
Toroidal Surface ◽  
General Complex ◽  
Cusp Points ◽  
Joint Variable ◽  
Boundary Equations ◽  
Workspace Boundary

Abstract General, complex geometry forms of RRR regional structures are often avoided due to the presence of inner boundaries within the workspace which tend to complicate robot guidance. Despite the added complexity, certain RRR geometries may have useful applications as they contain large workspace regions where four alternate configurations may be used to reach a given spatial location. Cusp points often appear on the workspace boundaries of general RRR regional structures, and determining their precise location may be useful for both design and guidance purposes. A twelfth degree polynomial equation in the outer joint variable is derived which defines the location of non-trivial cusps in the workspace. A new closed form workspace boundary equation is derived in the outer joint variable and x coordinate of the toroidal surface generated by rotation of the two outer revolutes. If the outer joint variable is incremented, a quadratic in x is formed at each step which enables a very efficient determination of the workspace boundaries while also providing the coordinates of the boundary on the toroidal surface.

scholarly journals An Accurate Solution Method for the Static and Vibration Analysis of Functionally Graded Reissner-Mindlin Rectangular Plate with General Boundary Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
Haichao Li ◽  
Ning Liu ◽  
Fuzhen Pang ◽  
Yuan Du ◽  
Shuo Li
Keyword(s):  
Vibration Analysis ◽  
Solution Method ◽  
Auxiliary Function ◽  
Accurate Solution ◽  
Functionally Graded ◽  
General Boundary Conditions ◽  
Governing Equations ◽  
Elastic Boundary ◽  
Admissible Displacement ◽  
Boundary Equations

This paper presents an accurate solution method for the static and vibration analysis of functionally graded Reissner-Mindlin plate with general boundary conditions on the basis of the improved Fourier series method. In the theoretical formulations, the governing equations and the general elastic boundary equations are obtained by using Hamilton’s principle. The components of admissible displacement functions are expanded as an improved Fourier series form which contains a 2D Fourier cosine series and auxiliary function in the form of 1D series. The major role of the auxiliary function is to remove the potential discontinuities of the displacement function and its derivatives at the edges and ensure and accelerate the convergence of the series representation. The characteristic equations are easily obtained via substituting admissible displacement functions into governing equations and the general elastic boundary equations. Several examples are made to show the excellent accuracy and convergence of the current solutions. The results of this paper may serve as benchmark data for future research in related field.

Sign in / Sign up

Export Citation Format

Share Document