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Volume 10
Issue 3
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Math. Comput. Appl., Volume 10, Issue 3 (December 2005) – 11 articles , Pages 307-402

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136 KiB  
Article
Symmetry Reduction of Unsteady MHD Aligned Second Grade Flow Equations
by Asif Ali and Ahmer Mehmood
Math. Comput. Appl. 2005, 10(3), 395-402; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030395 - 01 Dec 2005
Cited by 4 | Viewed by 1022
Abstract
Exact solutions for the unsteady flow equations of an incompressible MHD aligned second grade fluid are obtained. Translational symmetries are used successively to reduce the governing partial differential equations into ordinary differential equations. Full article
136 KiB  
Article
The Overall Assurance Interval for the Non-Archimedean Epsilon in DEA Models
by B. Daneshian, G. R. Jahanshahloo, F. Hosseimzadeh Lotfi, T. Allahviranloo and S. Mehrabian
Math. Comput. Appl. 2005, 10(3), 387-393; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030387 - 01 Dec 2005
Cited by 2 | Viewed by 1180
Abstract
Mehrabian, et. al. (1998) presented a procedure for determining overall assurance interval of ε. Solving n linear programs are needed for this propose, where n is the number of Decision Making Units involved in the evaluation. This paper proposes an efficient algorithm [...] Read more.
Mehrabian, et. al. (1998) presented a procedure for determining overall assurance interval of ε. Solving n linear programs are needed for this propose, where n is the number of Decision Making Units involved in the evaluation. This paper proposes an efficient algorithm that can determine the overall assurance interval of ε by solving a few number of linear programs. Full article
355 KiB  
Article
Computer Aided Nonlinear Analysis of Machine Tool Vibrations and a Developed Computer Software
by Ahmet Taskesen and Yucel Ercan
Math. Comput. Appl. 2005, 10(3), 377-385; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030377 - 01 Dec 2005
Cited by 4 | Viewed by 1295
Abstract
A computer program package is developed by using Visual Basic programming language in order to analyze one and two degree of freedom of machine tool chatter vibrations. The developed software accepts the machine tool properties, work piece properties and cutting parameters as inputs, [...] Read more.
A computer program package is developed by using Visual Basic programming language in order to analyze one and two degree of freedom of machine tool chatter vibrations. The developed software accepts the machine tool properties, work piece properties and cutting parameters as inputs, calculates the time responses of selected cutting parameters and displays the results in graphical form. Hence the appropriate values of cutting parameters can be predicted for chatter-free operation of the machine tool. Full article
160 KiB  
Article
Natural Frequencies of Beam-Mass Systems in Transverse Motion for Different End Conditions
by H. R. Öz and E. Özkaya
Math. Comput. Appl. 2005, 10(3), 369-376; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030369 - 01 Dec 2005
Cited by 9 | Viewed by 1418
Abstract
In this study, an Euler-Bernoulli type beam carrying masses at different locations is considered. Natural frequencies for transverse vibrations are investigated for different end conditions. Frequency equations are obtained for two and three mass cases. Analytical and numerical results are compared with each [...] Read more.
In this study, an Euler-Bernoulli type beam carrying masses at different locations is considered. Natural frequencies for transverse vibrations are investigated for different end conditions. Frequency equations are obtained for two and three mass cases. Analytical and numerical results are compared with each other. Full article
164 KiB  
Article
An Investigation of the Gamow-Teller 1+ States in 90Nb Isotopes
by Tahsin Babacan, Djavad I. Salamov and Atalay Küçükbursa
Math. Comput. Appl. 2005, 10(3), 359-368; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030359 - 01 Dec 2005
Cited by 8 | Viewed by 1091
Abstract
In this study, based on Pyatov-Salamov method, the properties of the Gamow-Teller(GT) 1+ states in 90 Nb have been investigated and the agreement of our results calculated by this method for the energy of Gamow-Teller Resonance (GTR) and the corresponding strengths of [...] Read more.
In this study, based on Pyatov-Salamov method, the properties of the Gamow-Teller(GT) 1+ states in 90 Nb have been investigated and the agreement of our results calculated by this method for the energy of Gamow-Teller Resonance (GTR) and the corresponding strengths of the 1+ excitations in 90Nb with the experimental values has been tested. As a result of the calculations, it was seen that the calculated values for the energy and strength of the GTR are sufficiently in agreement with the experimental ones. Full article
152 KiB  
Article
Weyl Manifolds with Semi-Symmetric Connection
by Füsun Ünal and Aynur Uysal
Math. Comput. Appl. 2005, 10(3), 351-358; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030351 - 01 Dec 2005
Cited by 4 | Viewed by 1182
Abstract
We define a semi-symmetric connection on a Weyl manifold and study projective curvature tensor and conformal curvature tensor after giving some properties of the curvature tensor with respect to semi-symmetric connection. Full article
194 KiB  
Article
Dynamic Optimization Algorithm for Vertical Alignment of Highways
by A. Burak Goktepe, A. Hilmi Lav and Selim Altun
Math. Comput. Appl. 2005, 10(3), 341-350; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030341 - 01 Dec 2005
Cited by 20 | Viewed by 1540
Abstract
In all design criteria, earthwork optimization is essential for the determination of optimal vertical alignment of a highway project. Actually, there can be numerous grade line alternatives for given ground elevations; thus, the objective is to find out the optimal vertical alignment causing [...] Read more.
In all design criteria, earthwork optimization is essential for the determination of optimal vertical alignment of a highway project. Actually, there can be numerous grade line alternatives for given ground elevations; thus, the objective is to find out the optimal vertical alignment causing the minimum cost considering several design constraints. Basically, this is a constrained nonlinear optimization problem, which can be solved by a multistage optimization technique. This article introduces a methodology for the vertical alignment optimization of a highway using dynamic programming approach. Results indicated that the introduced algorithm can be used successfully in the optimization of vertical highway alignment. Full article
236 KiB  
Article
Forming of High Strength/Low Formability Metal Sheets at Elevated Temperatures
by M. Emin Erdin, Halil Aykul and M. Şafak Tunalıoğlu
Math. Comput. Appl. 2005, 10(3), 331-340; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030331 - 01 Dec 2005
Cited by 3 | Viewed by 1142
Abstract
The purpose of this study is to determine the limits and to investigate the efficiency of sheet metal forming process at elevated ( warm / hot ) temperatures. Deep drawing of HSLA / UHSLA steels, aluminium, titanium and magnesium alloys in an effective [...] Read more.
The purpose of this study is to determine the limits and to investigate the efficiency of sheet metal forming process at elevated ( warm / hot ) temperatures. Deep drawing of HSLA / UHSLA steels, aluminium, titanium and magnesium alloys in an effective way is possible only at elevated temperatures and has some indefinitenesses. In the study, deep drawing simulations are realized with a titanium copper alloy and a low alloy steel to investigate the deep drawability of high strength / low formability metal sheets. The comparison of the results obtained from this study with the other experimental, analytical and computer aided studies found from the literature showed that the results are coherent. From the studies its understood that, the critical temperature that makes the deep drawability maximum differs from material to material. This temperature is a complex function of the material and deep drawing process parameters. Full article
277 KiB  
Article
Coupling of Finite and Boundary Element Methods with Incompatible Interfaces
by Ibrahim H. Guzelbey, Bahattin Kanber and Ahmet Erklig
Math. Comput. Appl. 2005, 10(3), 321-330; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030321 - 01 Dec 2005
Cited by 1 | Viewed by 1071
Abstract
In this study, an algorithm is presented for the coupling of finite and boundary element method with incompatible interfaces for two dimensional elasticity problems. In this approach, the number of nodes at the interface line of finite element domain can be different from [...] Read more.
In this study, an algorithm is presented for the coupling of finite and boundary element method with incompatible interfaces for two dimensional elasticity problems. In this approach, the number of nodes at the interface line of finite element domain can be different from the number of nodes at the interface line of boundary element region. The subregion technique has been used to obtain the coupling model and the compatibility requirement is satisfied by distributing the forces for incompatible interface. The continuity requirement is satisfied by interpolation equations. After satisfying the continuity and compatibility requirements at the interface line, the distribution matrix has been used for transformation of nodal forces into nodal tractions. Two different case studies have been solved and the results are compared with each other, FEM, BEM, ANSYS. Full article
158 KiB  
Article
The Cosine Rule II for a Spherical Triangle on the Dual Unit Sphere
by M. Kazaz, H. H. Uğurlu and A. Özdemir
Math. Comput. Appl. 2005, 10(3), 313-320; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030313 - 01 Dec 2005
Viewed by 994
Abstract
In this work, we proved the Cosine Rule II for a spherical triangle on the dual unit sphere Full article
155 KiB  
Article
Free Energies and Specific Heats of the Nematics within Nonextensive Thermostatistics
by O. Afsar and O. Kayacan
Math. Comput. Appl. 2005, 10(3), 307-312; https://0-doi-org.brum.beds.ac.uk/10.3390/mca10030307 - 01 Dec 2005
Viewed by 1066
Abstract
In this study, the free energies and specific heats of the nematic liquid crystals are studied within Tsallis thermostatistics. In equilibrium, free energy of PAA (para-azoxyanisole) vs the order parameter is plotted, as well as its the specific heat vs temperature. The effect [...] Read more.
In this study, the free energies and specific heats of the nematic liquid crystals are studied within Tsallis thermostatistics. In equilibrium, free energy of PAA (para-azoxyanisole) vs the order parameter is plotted, as well as its the specific heat vs temperature. The effect of the nonextensivity is illustrated for some values of the entropic index q. Full article
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