The Establishment of D, E Grade GPS Control Network and Fourth-Order Leveling Network in Laicheng Industrial Zone of Laiwu City

2013 ◽  
Vol 846-847 ◽  
pp. 888-892
Author(s):  
De Bao Wang ◽  
Mei Lan Yu ◽  
Wen Jing Yang ◽  
Jun Feng Qu
Keyword(s):  
Fourth Order ◽  
Function Method ◽  
Three Dimensional ◽  
Geodetic Network ◽  
Control Network ◽  
Control Points ◽  
Two Dimensional ◽  
Industrial Zone ◽  
Level Control ◽  
Vertical Control

The paper uses D level,E level and the level of GPS control network establishment satellite space geodetic network in Laicheng industrial zone in Laiwu, through the baseline calculating, three-dimensional unconstrained adjustment and two-dimensional constraint adjustment to get the WGS-84 three dimensional coordinates and 1980 xi 'an horizontal coordinatesthe of control points; then using the fourth-order levelling connection survey all D-level, E-level control points and part GPS control points to build vertical control network, for the GPS control points of the remaining we utilize quadric function method using GPS elevation fitting given its elevation seek to obtain three-dimensional coordinates of all the basic control points.

Establishment of High Precision Horizontal and Vertical Control Network in Zoucheng City

2013 ◽  
Vol 864-867 ◽  
pp. 2787-2791
Author(s):  
De Bao Wang ◽  
Yong Xiang Liu ◽  
Wen Jing Yang
Keyword(s):  
Fourth Order ◽  
Function Method ◽  
Three Dimensional ◽  
Geodetic Network ◽  
Control Network ◽  
Control Points ◽  
Two Dimensional ◽  
Level Control ◽  
Vertical Control ◽  
Free Network

The paper uses D level, E level and the level of GPS control network establishment satellite space geodetic network in Zoucheng city, through the baseline calculating, classic adjustment of free network, three-dimensional unconstrained adjustment and two-dimensional constraint adjustment to get the WGS-84 three dimensional coordinates and 1980 xi 'an horizontal coordinates of control points; then using the fourth-order levelling connection survey all D-level and part E-level control points to build vertical control network, for the remaining GPS control points we utilize quadric function method using GPS elevation fitting given its elevation seek to obtain three-dimensional coordinates of all the basic control points.

scholarly journals Methodology of Analysing Geodetic Network as Basis for Developing Mobile Application for Its Ongoing Update

2021 ◽  
Author(s):  
Anna Przewięźlikowska ◽  
Wioletta Ślusarczyk ◽  
Klaudia Wójcik
Keyword(s):  
Detailed Analysis ◽  
Mobile Application ◽  
Geodetic Network ◽  
Research Paper ◽  
Control Network ◽  
Control Points ◽  
Vertical Control ◽  
Set Of Points ◽  
The Relationship

Abstract The final result of surveys largely depends on the accuracy and timeliness of the control network. This research paper presents the relationship between the condition of the points and the area where they are located. The main goal of this study is to present the methodology of a detailed analysis of the database of vertical control points in a selected area that is used to develop a mobile application intended for the update of the existing set of points of the vertical control network on an ongoing basis. In order to prepare the mobile application for the ongoing update of the control network, it is necessary to define detailed procedures for dealing with the database of points. These procedures concern the determination of the methodology of making an inventory of the existing database, and then the determination of the rules for updating the control network using the developed application.

Study on soliton solutions of the longitudinal wave equation and magneto-electro-elastic circular rod dynamical model

2021 ◽  
Vol 35 (13) ◽  
pp. 2150168
Author(s):  
Adel Darwish ◽  
Aly R. Seadawy ◽  
Hamdy M. Ahmed ◽  
A. L. Elbably ◽  
Mohammed F. Shehab ◽  
...  
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Longitudinal Wave ◽  
Physical Interpretation ◽  
Elliptic Function ◽  
Function Method ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Jacobi Elliptic Function ◽  
Two Dimensional

In this paper, we use the improved modified extended tanh-function method to obtain exact solutions for the nonlinear longitudinal wave equation in magneto-electro-elastic circular rod. With the aid of this method, we get many exact solutions like bright and singular solitons, rational, singular periodic, hyperbolic, Jacobi elliptic function and exponential solutions. Moreover, the two-dimensional and the three-dimensional graphs of some solutions are plotted for knowing the physical interpretation.

Nonlinear dynamical wave structures to the Date–Jimbo–Kashiwara–Miwa equation and its modulation instability analysis

2021 ◽  
pp. 2150300
Author(s):  
M. Younis ◽  
A. R. Seadawy ◽  
M. Bilal ◽  
S. T. R. Rizvi ◽  
Saad Althobaiti ◽  
...  
Keyword(s):  
Function Method ◽  
Modulation Instability ◽  
Existence Of Solutions ◽  
Three Dimensional ◽  
Algebraic Method ◽  
Two Dimensional ◽  
Instability Analysis ◽  
Nonlinear Dynamical ◽  
Wave Solutions ◽  
Different Shapes

A particular attention is paid to the nonlinear dynamical exact wave solutions to the (2 + 1)-dimensional Date–Jimbo–Kashiwara–Miwa equation (DJKME). A variety of solutions are extracted in different shapes like dark, singular, dark-singular by implementing [Formula: see text]-expansion function method and modified direct algebraic method. In addition, we also secure singular periodic and plane wave solutions with arbitrary parameters. We also discussed the modulation instability analysis of the governing model. The constraint conditions for the validity of existence of solutions are also reported. Moreover, three-dimensional and two-dimensional, and their corresponding contour graphs are sketched for a better understanding of the derived solutions with the values of arbitrary parameters.

Dispersive soliton solutions for the Salerno equation for the nonlinear discrete electrical lattice in the forbidden bandgaps

2021 ◽  
Author(s):  
Ahmed M. Elsherbeny ◽  
Reda El-Barkouky ◽  
Aly R. Seadawy ◽  
Hamdy M. Ahmed ◽  
Rabab M. I. El-Hassani ◽  
...  
Keyword(s):  
Periodic Solutions ◽  
Elliptic Function ◽  
Function Method ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Jacobi Elliptic Function ◽  
Two Dimensional ◽  
Bright Solitons ◽  
Jacobi Elliptic Function Method

In this paper, the modified Jacobi elliptic function method is applied for Salerno equation which describes the nonlinear discrete electrical lattice in the forbidden bandgaps. Dark and bright solitons are obtained. Also, periodic solutions and periodic Jacobi elliptic function solutions are reported. Moreover, for the physical illustration of the obtained solutions, three-dimensional and two-dimensional graphs are presented.

TRANSFORMATION ET AJUSTEMENT DES COORDONNEES D’UNE BANDE PAR CALCUL ELECTRONIQUE

1961 ◽  
Vol 15 (10) ◽  
pp. 574-580 ◽  
Author(s):  
G. H. Schut
Keyword(s):  
Research Council ◽  
Three Dimensional ◽  
National Research Council ◽  
Control Points ◽  
Two Dimensional ◽  
Ground Control Points ◽  
Mechanical Methods ◽  
Electronic Computers ◽  
Operating Instructions ◽  
Second Degree

Strip triangulation is carried out for the purpose of increasing by photogrammetric means the number of available ground control points. The triangulation must be followed by a transformation which brings the points from the strip-coordinate system to the required geodetic system. The transformation includes an adjustment when redundant points are used to increase the accuracy of the positioning and when systematic errors must be corrected for in the strip triangulation. Numerical methods of transformation and adjustment have an inherently greater accuracy. If electronic computers are used, they are also more economical than comparable graphical or mechanical methods. The following programs have been coded for the IBM-650 by the Photogrammetric Section of the National Research Council of Canada: (a) a program for three-dimensional linear conformai transformation, employing formulas (1a) and (1b), (b) a program for two-dimensional conformai transformation of horizontal coordinates, employing either the linear formulas (8) or the formulas of the second degree (10), (c) a program for two-dimensional conformai transformation of the third degree with the possibility of conversion to the fourth and fifth degree, (d) a program for transformation of horizontal coordinates of a block of overlapping strips by second-degree conformai transformations, and (e) a program for the last-mentioned transformation by third-degree conformai transformations. These programs and operating instructions can be made available for serious applicants from the National Research Council.

A dynamic equation for 2D surface waves on deep water

2020 ◽  
Author(s):  
Dmitry Kachulin ◽  
Alexander Dyachenko ◽  
Vladimir Zakharov
Keyword(s):  
Fourth Order ◽  
Canonical Transformation ◽  
Three Dimensional ◽  
Fourier Method ◽  
Hamiltonian Formalism ◽  
Two Dimensional ◽  
Russian Science ◽  
Wave Interactions ◽  
Zakharov Equation ◽  
Limiting Case

<p>Using the Hamiltonian formalism and the theory of canonical transformations, we have constructed a model of the dynamics of two-dimensional waves on the surface of a three-dimensional fluid. We find and apply a canonical transformation to a water wave equation to remove all nonresonant cubic and fourth-order nonlinear terms. The found canonical transformation also allows us to significantly simplify the fourth-order terms in the Hamiltonian by replacing the coefficient of four-wave Zakharov interactions with a new simpler one. As a result, unlike the Zakharov equation (written in k-space), this equation can be written in x-space, which greatly simplifies its numerical simulation. In addition, our chosen form of a new coefficient of four-wave interactions allows us to generalize this equation to describe two-dimensional waves on the surface of a three-dimensional fluid. An effective numerical algorithm based on the pseudospectral Fourier method for solving the new 2D equation is developed. In the limiting case of plane (one-dimensional) waves, we found solutions in the form of breathers propagating in one direction. The dynamics of such nonlinear traveling waves perturbed in the transverse direction is numerically investigated.</p><p>The work was supported by the Russian Science Foundation (Grant No. 19-72-30028).</p>

A PRECISE METHOD FOR DETERMINING CONTOURED SURFACES

1982 ◽  
Vol 22 (1) ◽  
pp. 205 ◽  
Author(s):  
G. M. Philip ◽  
D. F. Watson
Keyword(s):  
Cross Sections ◽  
Control Point ◽  
Three Dimensional ◽  
Control Points ◽  
Two Dimensional ◽  
Computationally Efficient ◽  
Precise Method ◽  
Contour Maps ◽  
Delaunay Tessellations ◽  
Rapid Calculation

Although the petroleum geologist is concerned with analysing three-dimensional data, he relies entirely on two-dimensional portrayals - cross-sections and particularly contour maps of all types. With the advent of digital computers, machine contouring has become increasingly common, but little attention has been directed to the limitations of the various algorithms that can be employed to generate contour maps from a set of control points. For example, it is not widely appreciated that contouring procedures which faithfully honour the value of original control points produce poor predictions at locations where no control is available. Contouring a published set of topographic data shows how this and other limitations lead to approximations and errors in machine-generated contours.A new method based on triangulation interpolation using Delaunay tessellations (deltri analysis) is superior to existing methods. Not only does the method give the most accurate and objective measurement and display of the contoured surface, but it is also computationally efficient. Rapid calculation of volume of closure over contoured structures is possible. The method also allows estimation of the adequacy of the data on which the contouring is based by introducing a measure of 'roughness' of the surface. This is achieved by analysing the directions of normals to triangles surrounding each control point.

Reflections on the Theory of Elastic Plates

1985 ◽  
Vol 38 (11) ◽  
pp. 1453-1464 ◽  
Author(s):  
Eric Reissner
Keyword(s):  
Shear Deformation ◽  
Fourth Order ◽  
Transverse Shear ◽  
Three Dimensional ◽  
Order Theory ◽  
Sixth Order ◽  
Interior Solution ◽  
Transverse Shear Deformation ◽  
Two Dimensional ◽  
Elastic Plates

We depart from a three-dimensional statement of the problem of small bending of elastic plates, for a survey of approximate two-dimensional theories, beginning with Kirchhoff’s fourth-order formulation. After discussing various variational statements of the three-dimensional problem, we describe the development of two-dimensional sixth-order theories by Bolle´, Hencky, Mindlin, and Reissner which take account of the effect of transverse shear deformation. Additionally, we report on an early analysis by Le´vy, on a direct two-dimensional formulation of sixth-order theory, on constitutive coupling of bending and stretching of laminated plates, on higher than sixth-order theories, and on an asymptotic analysis of sixth-order theory which leads to a fourth-order interior solution contribution with first-order transverse shear deformation effects included, as well as to a sequentially determined second-order edge zone solution contribution.

scholarly journals New Soliton Solutions of The Nonlinear Radhakrishnan-Kundu-Lakshmanan Equation With the Beta-Derivative

2021 ◽  
Author(s):  
Yusuf Pandir ◽  
Yusuf Gurefe ◽  
Tolga Akturk
Keyword(s):  
Exact Solutions ◽  
Rational Function ◽  
Function Method ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Two Dimensional ◽  
New Exact Solutions ◽  
Definition Of ◽  
Exponential Function Method

Abstract In this article, the modified exponential function method is applied to find the exact solutions of the Radhakrishnan-Kundu-Lakshmanan equation with Atangana’s conformable beta-derivative. The definition of the conformable beta derivative and its properties proposed by Atangana are given. With the proposed method, exact solutions of the nonlinear Radhakrishnan-Kundu-Lakshmanan equation which can be stated with the conformable beta-derivative of Atangana are obtained. The exact solutions found as a result of the application of the method seem to be 1-soliton solutions, dark soliton solutions, periodic soliton solutions and rational function solutions. According to the obtained results, we can say that the Radhakrishnan-Kundu-Lakshmanan equation with Atangana’s conformable beta-derivative have different soliton solutions. Also, three-dimensional contour and density graphs and two- dimensional graphs drawn with different parameters are given of these new exact solutions.

Sign in / Sign up

Export Citation Format

Share Document