Mehdi Zamani - Academia.edu (original) (raw)
Papers by Mehdi Zamani
Bspline and Bezier methods are two powerful methods for approximation of data in all branches of ... more Bspline and Bezier methods are two powerful methods for approximation of data in all branches of engineering problems. With some improvements and modifications they can be applied for interpolation of data. Although literature offers different approaches for the formulation of Bspline, there is a set of independent functions that defines the Bspline equation. The numbers of the coefficients of Bspline equation are equal to the numbers of pair data or control points. The advantage of Bspline method is that, the most of set functions diminishes at some control points. Therefore a simple tridiagonal linear system is obtained. The tridiagonal linear system can be easily solved by Thomas algorithm. Bezier curves can be obtained by drawing the governing parametric equations. The parametric equations are Bernstein polynomials. Bezier curve does not pass through all the data points but passes through end points. It is mainly applied for approximation approaches. By considering some complementary points between original points, the Bezier can be forced to pass through all control points, hence it can be applied for interpolation purposes. The drawn curves by this method are smoother and have less sinuosity forms. For the comparison of the interpolation properties, several problems are solved by these two methods. The results explain that both methods are powerful and robust for interpolation of highly non-uniform set of data. The Bezier model is superior to Bspline with regarding to accuracy, smoothness and less calculation operations.
m-hikari.com
In this research, the method of interpolation of piecewise splines is used. One spline method of ... more In this research, the method of interpolation of piecewise splines is used. One spline method of third order and two spline methods of forth order, with the usage of middle point and the approximation of the first derivative in given points are used. For second degree spline, there are ...
Received Oct 16, 2012 Revised Mar 25, 2013 Accepted Apr 17, 2013 A powerful and accurate model fo... more Received Oct 16, 2012 Revised Mar 25, 2013 Accepted Apr 17, 2013 A powerful and accurate model for interpolation of data is piecewise cubic spline method. In this model the obtained final curve consists of a series of local cubic spline curves which combine together with suitable continuity along their boundaries. The continuity at the boundaries of each local curve is c. The attraction of this research is to apply cubic spline method for approximation and estimation of data. Therefore; each local spline curve satisfies the minimization of sum of square errors along its length in addition of obtaining c continuity at its edges or boundaries. Because in the local scale the approximation of any section of data by cubic spline is accurate; therefore, the presented model is applicable to any kind of data with highly nonlinear distributions. Keyword:
A jointed rock mass presents a more complex design problem than the other rock masses. The comple... more A jointed rock mass presents a more complex design problem than the other rock masses. The complexity arises from the number (greater than two) of joint sets which define the degree of discontinuity of medium. The condition that arises in these types of rock masses is the generation of discrete rock blocks,of various geometries. They are defined by the natural fracture surfaces and the excavation surface. Stability problems in blocky jointed rock are generally associated with gravity falls of blocks from the roof and sidewalls. Whereas for block defined in the crown of tunnel,the requirement is to examine the potential for displacement of each block under the influence of the surface tractions arising from the local stress field and the gravitational load,in this paper various types of wedge formation in the crown of tunnel due to intersection of joint sets with various dip were examined. The state of stability of the wedge was then assessed through the factor of safety against roof failure. Following that the formed wedges in New York city and Washington D.C tunnel crowns was investigated with limit equilibrium analytical method and by use of Hoek and Brown failure criterion. The obtained results from analytical method corresponded with field observation.
Indian Journal of Science and Technology, 2011
We present a model which creates a linear system of equations of symmetric and heptadiagonal. The... more We present a model which creates a linear system of equations of symmetric and heptadiagonal. Therefore, for huge volume of data, the governing matrix is sparse and has a lot of zero entries, hence there is no need to save the entire values of matrix A. It is ...
Deep and Underground Excavations, 2010
The Determination of Geometric Characteristics of Irregular Underground Bodies Mehdi Zamani 1 dep... more The Determination of Geometric Characteristics of Irregular Underground Bodies Mehdi Zamani 1 department of Technology and Engineering, Yasouj University, Daneshjoo Avenue, Yasouj, IRAN 75914 mahdirwmail. yu. ac. ir ABSTRACT: The main concern is with ...
International Journal of Advances in Applied Sciences, 2013
A powerful and accurate model for interpolation of data is piecewise cubic spline method. In thi... more A powerful and accurate model for interpolation of data is piecewise cubic spline method. In this model the obtained final curve consists of a series of local cubic spline curves which combine together with suitable continuity along their boundaries. The continuity at the boundaries of each local curve is c 2 . The attraction of this research is to apply cubic spline method for approximation and estimation of data. Therefore; each local spline curve satisfies the minimization of sum of square errors along its length in addition of obtaining c 2 continuity at its edges or boundaries. Because in the local scale the approximation of any section of data by cubic spline is accurate; therefore, the presented model is applicable to any kind of data with highly nonlinear distributions.
Oriental Journal Of Chemistry, 2012
One of the important parameters for determining the discharge through the subsurface system in gr... more One of the important parameters for determining the discharge through the subsurface system in groundwater engineering is hydraulic conductivity coefficient. This parameters the factor of oil skeleton and fluid properties. The horizontal and vertical components of saturated hydraulic conductivity coefficient can be obtained from the laboratory and field testing methods. Those are usually constant and variable head tests. In this research the three-dimensional ellipsoid of hydraulic conductivity coefficients is obtained. Using the hydraulic conductivity ellipsoid it is possible of obtain the permeability of soil in any direction. The above model has the effective application for calculation of one, two and three-dimensional fluid flow in the anisotropic porous media. The accuracy of thehydraulic conductivity obtained by the model can be checked by laboratory tests. The model is applied for the calculation of infiltration from the natural or man-made surface channels, also exfilitration from the subsurface water resources.
Natural Science, 2010
To determination the volume and weight of nonuniform bodies, such as in ore deposits evaluation f... more To determination the volume and weight of nonuniform bodies, such as in ore deposits evaluation for mining and rock cutting for construction, the methods of interpolation are usually used. The classic curves, which are frequently used to interpolate one-dimensional data are cubic spline, Bspline and Bezier curves. These methods have good efficiency for determination of geometric characteristics of nonregular masses. They have some limitations and problems with twodimensional interpolation analysis such as forming large linear systems of equations with a lot of entries and difficulty encounter with their solutions. In this research the two-dimensional splines are used, which have the advantages of simplicity and less computational operations effort. The spline functions that are applied have the continuity of C 1 at elements boundaries. The presented model has suitable efficiency for volumes of large extents governing to lots of data.
Sadhana, 2008
The slope stability analysis has many applications in the engineering projects such as the dams, ... more The slope stability analysis has many applications in the engineering projects such as the dams, the roads and open pits structures. The method of analysis is usually based on the equilibrium conditions of the potential plane and wedge failures. The zone of the potential failure is stable whenever the stability forces dominate instability characteristics of the slope. In most of the classic methods of slope stability analysis, the joint surfaces are assumed to be continuous along the potential failure zone. These can cause an underestimated solution to the analysis. In this research the joint trace length is considered to be discontinuous across the potential surface of failure as it happens in nature. Therefore, there exists a rock bridge between the local joint traces. Because of the numerous problems related to the rock slope stability the above assumption is satisfied and the shear strength characteristics of intact rock have taken part in the analysis. The analysis presented here gives a better concept, view, and idea of understanding the physical nature of rock slopes and includes more parameters governing the stability of the potential failure zone.
Kharazmi University, 2021
A jointed rock mass presents a more complex design problem than the other rock masses. The comple... more A jointed rock mass presents a more complex design problem than the other rock masses. The complexity arises from the number (greater than two) of joint sets which define the degree of discontinuity of medium. The condition that arises in these types of rock masses is the generation of discrete rock blocks,of various geometries. They are defined by the natural fracture surfaces and the excavation surface. Stability problems in blocky jointed rock are generally associated with gravity falls of blocks from the roof and sidewalls. Whereas for block defined in the crown of tunnel,the requirement is to examine the potential for displacement of each block under the influence of the surface tractions arising from the local stress field and the gravitational load,in this paper various types of wedge formation in the crown of tunnel due to intersection of joint sets with various dip were examined. The state of stability of the wedge was then assessed through the factor of safety against roof failure. Following that the formed wedges in New York city and Washington D.C tunnel crowns was investigated with limit equilibrium analytical method and by use of Hoek and Brown failure criterion. The obtained results from analytical method corresponded with field observation.
Bspline and Bezier methods are two powerful methods for approximation of data in all branches of ... more Bspline and Bezier methods are two powerful methods for approximation of data in all branches of engineering problems. With some improvements and modifications they can be applied for interpolation of data. Although literature offers different approaches for the formulation of Bspline, there is a set of independent functions that defines the Bspline equation. The numbers of the coefficients of Bspline equation are equal to the numbers of pair data or control points. The advantage of Bspline method is that, the most of set functions diminishes at some control points. Therefore a simple tridiagonal linear system is obtained. The tridiagonal linear system can be easily solved by Thomas algorithm. Bezier curves can be obtained by drawing the governing parametric equations. The parametric equations are Bernstein polynomials. Bezier curve does not pass through all the data points but passes through end points. It is mainly applied for approximation approaches. By considering some complementary points between original points, the Bezier can be forced to pass through all control points, hence it can be applied for interpolation purposes. The drawn curves by this method are smoother and have less sinuosity forms. For the comparison of the interpolation properties, several problems are solved by these two methods. The results explain that both methods are powerful and robust for interpolation of highly non-uniform set of data. The Bezier model is superior to Bspline with regarding to accuracy, smoothness and less calculation operations.
m-hikari.com
In this research, the method of interpolation of piecewise splines is used. One spline method of ... more In this research, the method of interpolation of piecewise splines is used. One spline method of third order and two spline methods of forth order, with the usage of middle point and the approximation of the first derivative in given points are used. For second degree spline, there are ...
Received Oct 16, 2012 Revised Mar 25, 2013 Accepted Apr 17, 2013 A powerful and accurate model fo... more Received Oct 16, 2012 Revised Mar 25, 2013 Accepted Apr 17, 2013 A powerful and accurate model for interpolation of data is piecewise cubic spline method. In this model the obtained final curve consists of a series of local cubic spline curves which combine together with suitable continuity along their boundaries. The continuity at the boundaries of each local curve is c. The attraction of this research is to apply cubic spline method for approximation and estimation of data. Therefore; each local spline curve satisfies the minimization of sum of square errors along its length in addition of obtaining c continuity at its edges or boundaries. Because in the local scale the approximation of any section of data by cubic spline is accurate; therefore, the presented model is applicable to any kind of data with highly nonlinear distributions. Keyword:
A jointed rock mass presents a more complex design problem than the other rock masses. The comple... more A jointed rock mass presents a more complex design problem than the other rock masses. The complexity arises from the number (greater than two) of joint sets which define the degree of discontinuity of medium. The condition that arises in these types of rock masses is the generation of discrete rock blocks,of various geometries. They are defined by the natural fracture surfaces and the excavation surface. Stability problems in blocky jointed rock are generally associated with gravity falls of blocks from the roof and sidewalls. Whereas for block defined in the crown of tunnel,the requirement is to examine the potential for displacement of each block under the influence of the surface tractions arising from the local stress field and the gravitational load,in this paper various types of wedge formation in the crown of tunnel due to intersection of joint sets with various dip were examined. The state of stability of the wedge was then assessed through the factor of safety against roof failure. Following that the formed wedges in New York city and Washington D.C tunnel crowns was investigated with limit equilibrium analytical method and by use of Hoek and Brown failure criterion. The obtained results from analytical method corresponded with field observation.
Indian Journal of Science and Technology, 2011
We present a model which creates a linear system of equations of symmetric and heptadiagonal. The... more We present a model which creates a linear system of equations of symmetric and heptadiagonal. Therefore, for huge volume of data, the governing matrix is sparse and has a lot of zero entries, hence there is no need to save the entire values of matrix A. It is ...
Deep and Underground Excavations, 2010
The Determination of Geometric Characteristics of Irregular Underground Bodies Mehdi Zamani 1 dep... more The Determination of Geometric Characteristics of Irregular Underground Bodies Mehdi Zamani 1 department of Technology and Engineering, Yasouj University, Daneshjoo Avenue, Yasouj, IRAN 75914 mahdirwmail. yu. ac. ir ABSTRACT: The main concern is with ...
International Journal of Advances in Applied Sciences, 2013
A powerful and accurate model for interpolation of data is piecewise cubic spline method. In thi... more A powerful and accurate model for interpolation of data is piecewise cubic spline method. In this model the obtained final curve consists of a series of local cubic spline curves which combine together with suitable continuity along their boundaries. The continuity at the boundaries of each local curve is c 2 . The attraction of this research is to apply cubic spline method for approximation and estimation of data. Therefore; each local spline curve satisfies the minimization of sum of square errors along its length in addition of obtaining c 2 continuity at its edges or boundaries. Because in the local scale the approximation of any section of data by cubic spline is accurate; therefore, the presented model is applicable to any kind of data with highly nonlinear distributions.
Oriental Journal Of Chemistry, 2012
One of the important parameters for determining the discharge through the subsurface system in gr... more One of the important parameters for determining the discharge through the subsurface system in groundwater engineering is hydraulic conductivity coefficient. This parameters the factor of oil skeleton and fluid properties. The horizontal and vertical components of saturated hydraulic conductivity coefficient can be obtained from the laboratory and field testing methods. Those are usually constant and variable head tests. In this research the three-dimensional ellipsoid of hydraulic conductivity coefficients is obtained. Using the hydraulic conductivity ellipsoid it is possible of obtain the permeability of soil in any direction. The above model has the effective application for calculation of one, two and three-dimensional fluid flow in the anisotropic porous media. The accuracy of thehydraulic conductivity obtained by the model can be checked by laboratory tests. The model is applied for the calculation of infiltration from the natural or man-made surface channels, also exfilitration from the subsurface water resources.
Natural Science, 2010
To determination the volume and weight of nonuniform bodies, such as in ore deposits evaluation f... more To determination the volume and weight of nonuniform bodies, such as in ore deposits evaluation for mining and rock cutting for construction, the methods of interpolation are usually used. The classic curves, which are frequently used to interpolate one-dimensional data are cubic spline, Bspline and Bezier curves. These methods have good efficiency for determination of geometric characteristics of nonregular masses. They have some limitations and problems with twodimensional interpolation analysis such as forming large linear systems of equations with a lot of entries and difficulty encounter with their solutions. In this research the two-dimensional splines are used, which have the advantages of simplicity and less computational operations effort. The spline functions that are applied have the continuity of C 1 at elements boundaries. The presented model has suitable efficiency for volumes of large extents governing to lots of data.
Sadhana, 2008
The slope stability analysis has many applications in the engineering projects such as the dams, ... more The slope stability analysis has many applications in the engineering projects such as the dams, the roads and open pits structures. The method of analysis is usually based on the equilibrium conditions of the potential plane and wedge failures. The zone of the potential failure is stable whenever the stability forces dominate instability characteristics of the slope. In most of the classic methods of slope stability analysis, the joint surfaces are assumed to be continuous along the potential failure zone. These can cause an underestimated solution to the analysis. In this research the joint trace length is considered to be discontinuous across the potential surface of failure as it happens in nature. Therefore, there exists a rock bridge between the local joint traces. Because of the numerous problems related to the rock slope stability the above assumption is satisfied and the shear strength characteristics of intact rock have taken part in the analysis. The analysis presented here gives a better concept, view, and idea of understanding the physical nature of rock slopes and includes more parameters governing the stability of the potential failure zone.
Kharazmi University, 2021
A jointed rock mass presents a more complex design problem than the other rock masses. The comple... more A jointed rock mass presents a more complex design problem than the other rock masses. The complexity arises from the number (greater than two) of joint sets which define the degree of discontinuity of medium. The condition that arises in these types of rock masses is the generation of discrete rock blocks,of various geometries. They are defined by the natural fracture surfaces and the excavation surface. Stability problems in blocky jointed rock are generally associated with gravity falls of blocks from the roof and sidewalls. Whereas for block defined in the crown of tunnel,the requirement is to examine the potential for displacement of each block under the influence of the surface tractions arising from the local stress field and the gravitational load,in this paper various types of wedge formation in the crown of tunnel due to intersection of joint sets with various dip were examined. The state of stability of the wedge was then assessed through the factor of safety against roof failure. Following that the formed wedges in New York city and Washington D.C tunnel crowns was investigated with limit equilibrium analytical method and by use of Hoek and Brown failure criterion. The obtained results from analytical method corresponded with field observation.