On a New Graphical Method of Determining the Connectedness in Three Dimensional Design.

1985 ◽  
Author(s):  
Subir Ghosh
Keyword(s):  
Graphical Method ◽  
Three Dimensional

A Simple Approach to the Study of Wave Patterns

2014 ◽  
Vol 156 (A3) ◽  
Keyword(s):  
Numerical Methods ◽  
Shallow Water ◽  
Froude Number ◽  
Critical Speed ◽  
Graphical Method ◽  
Three Dimensional ◽  
Simple Approach ◽  
Critical Depth ◽  
Simple Manner ◽  
Wave Patterns

The paper revisits some pioneering work of Sir Thomas Havelock on wave patterns with particular attention focused on his graphical method of analysis. Motivated by a desire to explore this method further using numerical methods, it is extended in a simple manner to give three-dimensional illustrations of the wave patterns of a point disturbance in deep and shallow water. All results are confined to the sub- and trans-critical regimes with some obtained very close to the critical Depth Froude Number. Some conclusions are drawn on the wave types produced when operating close to the critical speed and their decay with distance off.

To Solve Mechanical Working Space by Applying Graphic Integration in ADAMS

2012 ◽  
Vol 605-607 ◽  
pp. 587-591
Author(s):  
Rui Hua Zhang ◽  
Yin Fa Zhu ◽  
Song Yang
Keyword(s):  
Graphical Method ◽  
Three Dimensional ◽  
Mechanical Working ◽  
Included Angle ◽  
The Third ◽  
Working Space ◽  
Arm Support ◽  
Special Points ◽  
Spray Gun

This paper mainly focuses on applying graphical method to figure out the working space of the new five joint folding arm supported pumper based on ADAMS. Firstly, discrete the included angle α between the third and the forth arm support, pick out several special points, work out the changing curve of the included angle β in the region of [0,180°] between the forth and the fifth arm support, and then get the plane track of the motion of spray gun by superposition of those curves and finally take the effect of turn angles of rotary tables into consideration, figure out the three-dimensional working space track of the spray gun by the superposition of plane track curves in the region of [0,360°].

A SIMPLE APPROACH TO THE STUDY OF WAVE PATTERNS

2021 ◽  
Vol 156 (A3) ◽  
Author(s):  
I W Dand
Keyword(s):  
Numerical Methods ◽  
Shallow Water ◽  
Froude Number ◽  
Critical Speed ◽  
Graphical Method ◽  
Three Dimensional ◽  
Simple Approach ◽  
Critical Depth ◽  
Simple Manner ◽  
Wave Patterns

The paper revisits some pioneering work of Sir Thomas Havelock on wave patterns with particular attention focussed on his graphical method of analysis. Motivated by a desire to explore this method further using numerical methods, it is extended in a simple manner to give three-dimensional illustrations of the wave patterns of a point disturbance in deep and shallow water. All results are confined to the sub- and trans-critical regimes with some obtained very close to the critical Depth Froude Number. Some conclusions are drawn on the wave types produced when operating close to the critical speed and their decay with distance off.

THE SECOND DERIVATIVE METHOD OF GRAVITY INTERPRETATION

Geophysics ◽  
1951 ◽  
Vol 16 (1) ◽  
pp. 29-50 ◽  
Author(s):  
Thomas A. Elkins
Keyword(s):  
Horizontal Plane ◽  
Graphical Method ◽  
Gravity Data ◽  
Three Dimensional ◽  
Horizontal Cylinder ◽  
Resolving Power ◽  
Theoretical Formula ◽  
Second Derivative ◽  
Derivative Method ◽  
Second Derivative Method

The second derivative method of interpreting gravity data, although its use is justifiable only on data of high accuracy, offers a simple routine method of locating some types of geologic anomalies of importance in oil and mineral reconnaissance. The theoretical formula by which it is possible to compute the second (vertical) derivative of any harmonic function from its values in a horizontal plane is derived for both the two‐dimensional and the three‐dimensional cases. The graphical method of computing the second derivative is discussed, especially as to the sources of error. A numerical coefficient equivalent of the graphical method is also presented. Formulas and graphs for the second derivative of the gravity effect of such geometrically simple shapes as the sphere, the infinite horizontal cylinder, the semi‐infinite horizontal plane, and the vertical fault, are presented with discussions of their value in the interpretation of practical data. Finally, the gravity and second derivative maps of portions of some important oil provinces are presented and compared to show the higher resolving power of the second derivative.

A three-dimensional graphical method for shear strain analysis

1994 ◽  
Vol 29 (4) ◽  
pp. 263-266
Author(s):  
S E-D Taher ◽  
A A Almusallam
Keyword(s):  
Graphical Method ◽  
Mathematical Formulation ◽  
Three Dimensional ◽  
Strain Analysis ◽  
Graphical Methods ◽  
Strain Components ◽  
Graphical Technique ◽  
Shearing Strain ◽  
Original Construction

The efficiency of graphical methods for strain analysis depends merely on its simplicity and accuracy. For most strain definitions, the Mohr circle has proved to be the most powerful graphical technique. Unfortunately, its three-dimensional form has limitations concerning the determination of the shearing strain components on a general oblique plane. In this paper, the various deformation quantifiers and the existing extensions to Mohr's method which account for its drawbacks are briefly reviewed. A novel proposal to be appended to Mohr's original construction, allowing its complete generality, is given. It has the form of a simplified complementary triangular construction. A mathematical formulation of the suggested graphical techniques on the basis of Cauchy's formula and vector analysis is carried out.

scholarly journals Stability of trusses by graphic statics

2021 ◽  
Vol 8 (6) ◽  
pp. 201970
Author(s):  
Allan McRobie ◽  
Cameron Millar ◽  
William F. Baker
Keyword(s):  
Axial Force ◽  
Graphical Representation ◽  
Graphical Method ◽  
Three Dimensional ◽  
Weighted Sum ◽  
Two Dimensional ◽  
Rotational Stiffness ◽  
Graphic Statics ◽  
Out Of Plane ◽  
Pinned Joints

This paper presents a graphical method for determining the linearized stiffness and stability of prestressed trusses consisting of rigid bars connected at pinned joints and which possess kinematic freedoms. Key to the construction are the rectangular areas which combine the reciprocal form and force diagrams in the unified Maxwell–Minkowski diagram. The area of each such rectangle is the product of the bar tension and the bar length, and this corresponds to the rotational stiffness of the bar that arises due to the axial force that it carries. The prestress stability of any kinematic freedom may then be assessed using a weighted sum of these areas. The method is generalized to describe the out-of-plane stability of two-dimensional trusses, and to describe three-dimensional trusses in general. The paper also gives a graphical representation of the ‘product forces’ that were introduced by Pellegrino and Calladine to describe the prestress stability of trusses.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

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