Mathematical and Computational Applications

5427 KiB

Open AccessArticle

Evaluation of Certain Class of Eulerian Integrals of the Multivariable H-Function

by H.S.P. Shrivastava

Math. Comput. Appl. 1998, 3(2), 113-125; https://doi.org/10.3390/mca3020113 - 01 Aug 1998

Viewed by 1018

the present paper we evaluate a number of key Eulerian integrals involving the H- function of several complex variables. Our general Eulerian integral formulas are shown to provide the key formulae from which numerous other potentially useful results for various families of generalized [...] Read more.

the present paper we evaluate a number of key Eulerian integrals involving the H- function of several complex variables. Our general Eulerian integral formulas are shown to provide the key formulae from which numerous other potentially useful results for various families of generalized hypergeometric functions of several variables can be derived. Few particular cases are also considered. Full article

3479 KiB

Open AccessArticle

Three Dimensional Stress Anaysis in Adhesively Bonded Joints

by Ali Kaya and Mehmet Tekelioğlu

Math. Comput. Appl. 1998, 3(2), 101-111; https://doi.org/10.3390/mca3020101 - 01 Aug 1998

Cited by 1 | Viewed by 1060

Abstract

Stress and strain distributions in the adhesive bonded joints subjected to distributed forces are investigated using finite element method. Two different cases are considered, the bonded materials are the same, and the bonded materials are different. The investigations are conducted on a three [...] Read more.

Stress and strain distributions in the adhesive bonded joints subjected to distributed forces are investigated using finite element method. Two different cases are considered, the bonded materials are the same, and the bonded materials are different. The investigations are conducted on a three dimensional model. The finite element model of the joint is obtained using isoparametric three dimensional elements having eight nodes with three degrees of freedom each. The stress components and their distributions both on adhesive surface and on metallic elements are given in dimensionless form using three dimensional graphics. Full article

2923 KiB

Open AccessArticle

Approximate Boundary Layer Solution of a Moving Beam Problem

by M. Pakdemirli and E. Özkaya

Math. Comput. Appl. 1998, 3(2), 93-100; https://doi.org/10.3390/mca3020093 - 01 Aug 1998

Cited by 44 | Viewed by 1472

Abstract

The transverse vibrations of a simply supported beam moving with constant velocity is considered. The case of transition from',:string to beam effects is treated. In this model, the fourth order spatial derivative multiplies a small parameter and hence leads to a boundary layer [...] Read more.

The transverse vibrations of a simply supported beam moving with constant velocity is considered. The case of transition from',:string to beam effects is treated. In this model, the fourth order spatial derivative multiplies a small parameter and hence leads to a boundary layer problem. The problem is solved approximately using the method of multiple scales. Full article

3375 KiB

Open AccessArticle

Stres Analysis around Dental Implant in Human Mandible

by Mehmet Zor and Sami Aksoy

Math. Comput. Appl. 1998, 3(2), 83-91; https://doi.org/10.3390/mca3020083 - 01 Aug 1998

Viewed by 975

Abstract

The stresses around the hole of an implant located in the anterior of a human mandible have been analyzed by using the Finite Elements Method. Three different models, each of which consists of different regions of mandible have been examined. In addition, variations [...] Read more.

The stresses around the hole of an implant located in the anterior of a human mandible have been analyzed by using the Finite Elements Method. Three different models, each of which consists of different regions of mandible have been examined. In addition, variations between the implant and apical and coronal sections in different bone tissue have been "included in this study. Sixteen different variations have been obtained. As a result, it has been observed that implants with straight abutments provide safer results than ones with angled abutments. Since the strength values of spongy bone are much lower than those of cortical bone, the stresses can exceed the strength limits in the cases where coronal upper section consist of spongy bone or in the cases where the cortical bone in the upper surface is very thin. So implants with straight abutments should be preferred, particularly in these cases. Full article

9201 KiB

Open AccessArticle

Artificial Neural Networks in Robotic Applications

by Şeref Sağıroğlu

Math. Comput. Appl. 1998, 3(2), 67-81; https://doi.org/10.3390/mca3020067 - 01 Aug 1998

Cited by 3 | Viewed by 1390

Abstract

There are a number of problems that their analytical solutions are difficult to obtain using conventional techniques in robotics. This-paper examines the use of Artificial Neural Networks (ANNs) as a new technique to solve such problems in the field of robotics.<br/>
This paper [...] Read more.

There are a number of problems that their analytical solutions are difficult to obtain using conventional techniques in robotics. This-paper examines the use of Artificial Neural Networks (ANNs) as a new technique to solve such problems in the field of robotics.<br/>
This paper presents an overview on ANNs applications to robot kinematics, dynamics, control, trajectory and task planning, and sensing. Moreover, the advantages and disadvantages of using and implementing ANNs to the robotic problems are outlined. Full article

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Math. Comput. Appl., Volume 3, Issue 2 (August 1998) – 5 articles , Pages 67-125

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