Mathematical and Computational Applications

3934 KiB

Open AccessArticle

by Ramazan Koç, Hayriye Tütüncüler and Atalay Küçükbursa

Math. Comput. Appl. 1997, 2(2), 91-100; https://doi.org/10.3390/mca2020091 - 01 Aug 1997

Viewed by 918

The symmetry and energy levels of icosahedral C60 are studied. Explicit matrix representations of the icosahedral group are constructed. Projection operators are obtained to simplify eigenvalue problem We summarize role of the group theory to specify energy levels of C60. Full article

2628 KiB

Open AccessArticle

Continuous Systems with Odd Nonlinearities: A General Solution Procedure

by Mehmet Pakdemirli, Hakan Boyacı and Mehmet Yılmaz

Math. Comput. Appl. 1997, 2(2), 85-90; https://doi.org/10.3390/mca2020085 - 01 Aug 1997

Cited by 4 | Viewed by 1043

Abstract

A generalized equation of motion with odd nonlinearities is considered. The nonlinearities of cubic and fifth order are represented in the form of arbitrary operators. The equation of motion, in its general form, may model a class of partial differential equations encountered in [...] Read more.

A generalized equation of motion with odd nonlinearities is considered. The nonlinearities of cubic and fifth order are represented in the form of arbitrary operators. The equation of motion, in its general form, may model a class of partial differential equations encountered in vibrations of continuous systems. Approximate analytical solutions are sought using the method of multiple scales, a perturbation technique. Forced vibrations with viscous damping are considered. Frequency-response relation is derived in its most general form. Finally, an application to a specific problem is given. Full article

1813 KiB

Open AccessArticle

An IBM(2) Investigation of Some Properties of 100Ru Nuclei

by N. Turkan and İ. Uluer

Math. Comput. Appl. 1997, 2(2), 79-84; https://doi.org/10.3390/mca2020079 - 01 Aug 1997

Cited by 1 | Viewed by 991

Abstract

In this study, energy values, B(E2) values and quadrupole moment of 100Ru isotope at the onset of the deformed region were investigated by using the Interacting Boson Model (IBM-2). The results were compared with the experimental and theoretical values and it is determined [...] Read more.

In this study, energy values, B(E2) values and quadrupole moment of 100Ru isotope at the onset of the deformed region were investigated by using the Interacting Boson Model (IBM-2). The results were compared with the experimental and theoretical values and it is determined that they are in good agreement. Full article

3118 KiB

Open AccessArticle

Application of the Hall-Petch Relation to Microhardness Measurement on AA 1030, Cu, CuSn7, CuZn30 and 6114 Alloys

by Cevdet Meriç, Enver Atik and Turgut Engez

Math. Comput. Appl. 1997, 2(2), 71-77; https://doi.org/10.3390/mca2020071 - 01 Aug 1997

Cited by 1 | Viewed by 1158

Abstract

In this experimental study, the strip formed specimens made from aluminum alloy 1030, pure Cu, CuSn7, CuZn30 and low carbon steel 6114 were cold worked to different ratios. To be able to determine the microhardness values of the materials, the microhardness tests were [...] Read more.

In this experimental study, the strip formed specimens made from aluminum alloy 1030, pure Cu, CuSn7, CuZn30 and low carbon steel 6114 were cold worked to different ratios. To be able to determine the microhardness values of the materials, the microhardness tests were applied. Grain sizes of the materials were determined by the Heyn method using metal microscope.
The hardness of materials H, is dependent on the grain diameter, d, in a similar way as in the flow stress in the Hall-Petch relation: H=H0+KHd-1/2 where H0 and KH are constants. The microhardness of the materials is found to vary with the grain size according to the Hall-Petch equation with reasonable accuracy. Full article

2199 KiB

Open AccessArticle

Computation of Transmission Line Transients by Using Fast Inverse Laplace Transform

by M. Salih Mamiş and Muhammet Köksal

Math. Comput. Appl. 1997, 2(2), 61-69; https://doi.org/10.3390/mca2020061 - 01 Aug 1997

Viewed by 1211

Abstract

In this paper. transients appearing power transmission systems due to line energization are computed by using Fast inverse Laplace Transform (FILT). s-domain transfer function of the system is calculated by using distributed parameter representation of transmission line. For the frequency to time domain [...] Read more.

In this paper. transients appearing power transmission systems due to line energization are computed by using Fast inverse Laplace Transform (FILT). s-domain transfer function of the system is calculated by using distributed parameter representation of transmission line. For the frequency to time domain transformation of transfer function, Fast Inverse Laplace Transform is applied. Comparisons are made between the results obtained by FILT and conventional methods such as conventional Laplace transform and Electromagnetic Transients Program (EMTP). Full article

1753 KiB

Open AccessArticle

Analysis of a Bulk-Service Queueing-System Subject to Interruptions

by A. B. Chandramouli

Math. Comput. Appl. 1997, 2(2), 53-59; https://doi.org/10.3390/mca2020053 - 01 Aug 1997

Viewed by 1018

Abstract

The present study depicts the behavior of mean queue length on failure service parameters and shows that the mean queue length is proportional to failure parameter while it varies inversely with repair parameters. Full article

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Math. Comput. Appl., Volume 2, Issue 2 (August 1997) – 6 articles , Pages 53-100

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