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Volume 5
Issue 2
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Math. Comput. Appl., Volume 5, Issue 2 (August 2000) – 8 articles , Pages 67-138

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570 KiB  
Article
An Elastic-Plastic Stress Analysis in an Orthotropic Composite Cantilever Beam Loaded Uniformly
by Mümin KÜÇÜK, Reşat ÖZCAN, Nurettin Arslan and Mustafa GÜR
Math. Comput. Appl. 2000, 5(2), 129-138; https://doi.org/10.3390/mca5020129 - 1 Aug 2000
Viewed by 1029
Abstract
In this study an elastic-plastic stress analysis is carried out in an orthotropic composite cantilever beam loaded uniformly at the upper surface. An analytical solution is found satisfying both the governing differential equation in two dimensional case and boundary conditions. In this solution, [...] Read more.
In this study an elastic-plastic stress analysis is carried out in an orthotropic composite cantilever beam loaded uniformly at the upper surface. An analytical solution is found satisfying both the governing differential equation in two dimensional case and boundary conditions. In this solution, the intensity of the uniform force is chosen small, therefore oy is neglected in comparison with the other stress components. The angles between the first principal axis and x axis are chosen as 0°, 30°, 45°, 60° and 90°. The plastic region begins first at the upper surface of the beam for 30° and 45° orientation angles. However, it starts earlier at the lower surface for 60° orientation angle. The intensity of the residual stress component of is maximum at the upper and/or lower surfaces in the beam. The intensity of the residual stress component of τxy is maximum on or around the longitudinal axis of the beam. Full article
560 KiB  
Article
Monodromy Principle and Universal Coverings
by Osman MUCUK
Math. Comput. Appl. 2000, 5(2), 119-127; https://doi.org/10.3390/mca5020119 - 1 Aug 2000
Cited by 1 | Viewed by 1099
Abstract
Let G be a star topological groupoid [Definition 2.2]. In this paper using the stmcture of monodromy groupoid we obtain a result which is more general than a result given in [1] and known as monodromy principle. Fuflher if G is a topological [...] Read more.
Let G be a star topological groupoid [Definition 2.2]. In this paper using the stmcture of monodromy groupoid we obtain a result which is more general than a result given in [1] and known as monodromy principle. Fuflher if G is a topological group and W is a suitable open neighbourhood of the identity element then we obtain a covering of G. Full article
277 KiB  
Article
Non - Perturbative Solution of the Ginzburg - Landau Equation
by M. İNÇ and N. BİLDİK
Math. Comput. Appl. 2000, 5(2), 113-117; https://doi.org/10.3390/mca5020113 - 1 Aug 2000
Cited by 8 | Viewed by 952
Abstract
The Ginzburg—Landau equation is solved by decomposition method. Full article
453 KiB  
Article
Join for (Augmented) Simplicial Group
by Ali MUTLU
Math. Comput. Appl. 2000, 5(2), 105-112; https://doi.org/10.3390/mca5020105 - 1 Aug 2000
Viewed by 895
Abstract
We introduced a notion of join for (augmented) simplicial groups generalising the classical join of geometric simplicial complexes. The definition comes naturally the ordinal sum on the base simplicial category Δ. Full article
647 KiB  
Article
A Comparison of Chaotic Circuits from a Statistical Approach
by E. KURT, S. ACAR and R. KASAP
Math. Comput. Appl. 2000, 5(2), 95-103; https://doi.org/10.3390/mca5020095 - 1 Aug 2000
Cited by 1 | Viewed by 971
Abstract
In this paper, we have investigated the chaotic structure of two different nonlinear circuits by a statistical approach and compared the results of analyses for these systems. We have utilized time history technique to identify the dynamic system. According to the results of [...] Read more.
In this paper, we have investigated the chaotic structure of two different nonlinear circuits by a statistical approach and compared the results of analyses for these systems. We have utilized time history technique to identify the dynamic system. According to the results of the analysis using the BDS test, it has been found that each time series data belonging to circuits indicate chaotic behavior in some cases. Full article
178 KiB  
Article
General Mixed Multivalued Mildly Nonlinear Variational Inequalities in H-Spaces
by Rais Ahmad and Hanif Salahuddin
Math. Comput. Appl. 2000, 5(2), 91-94; https://doi.org/10.3390/mca5020091 - 1 Aug 2000
Viewed by 898
Abstract
A general mixed multivalued mildly nonlinear variational inequality is considered. We establish an existence for (GMMMNVI) by replacing convexity assumptions with merely topological properties. Full article
720 KiB  
Article
Elastic-Plastic Stress Analysis in Thermoplastic Composite Cantilever Loaded by a Single Force
by R. ÖZCAN
Math. Comput. Appl. 2000, 5(2), 77-89; https://doi.org/10.3390/mca5020077 - 1 Aug 2000
Cited by 3 | Viewed by 960
Abstract
In this investigation an elastic-plastic stress analysis is carried out in a steel fiber reinforced thermoplastic composite cantilever. The beam is loaded by a single force at its free end. An analytical elastic-plastic solution is found by satisfying both equations of equilibrium and [...] Read more.
In this investigation an elastic-plastic stress analysis is carried out in a steel fiber reinforced thermoplastic composite cantilever. The beam is loaded by a single force at its free end. An analytical elastic-plastic solution is found by satisfying both equations of equilibrium and boundary conditions. Orientation angles are chosen as 0°, 30°, 45°, 60° and 90°. Yielding starts at upper or lower surfaces of the beam at different distances from the free end for 30°, 45°, 60° orientation angles. Maximum residual stresses are obtained at the upper and lower surfaces of the beam. For the shear stress, maximum stress component is found around the x-axis. Full article
614 KiB  
Article
Calculation of the Natural Frequencies of a Beam–Mass System Using Finite Element Method
by H.R. Öz
Math. Comput. Appl. 2000, 5(2), 67-76; https://doi.org/10.3390/mca5020067 - 1 Aug 2000
Cited by 23 | Viewed by 1573
Abstract
In this study, the natural frequencies of an Euler-Bernoulli type beam with a mass are calculated. The beam is supported with different end conditions. The mass is located on different locations. The linear natural frequencies are calculated by using finite element method for [...] Read more.
In this study, the natural frequencies of an Euler-Bernoulli type beam with a mass are calculated. The beam is supported with different end conditions. The mass is located on different locations. The linear natural frequencies are calculated by using finite element method for the first five modes. Results are compared with those of exact and other approximate methods. Full article
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