Mathematical modelling of a beam using finite element method: The case of mbira reed - Couverture souple

Mng'ong'o, Benito; Massawe, Estomih; Henwood, David

 
9783848441105: Mathematical modelling of a beam using finite element method: The case of mbira reed
Couverture souple
ISBN 10 : 3848441101 ISBN 13 : 9783848441105
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

The main purpose of this study was to develop the general mass and stiffness matrices for standard beam equation and eventually obtain the finite element equations for mbira reed. So far few studies have been done on mathematical modelling of a beam using finite elements, with applications to an mbira reed. However none of these studies had considered the aspect of a tapering mbira reed. Thus, the study also intends to examine the relationships that exist between the natural frequencies and the varying dimensions and properties of the mbira reed. The finite element method was used as a numerical method to solve the mathematical model of the mbira reed. A MATLAB code was prepared for the same. The usefulness of this study is that -mbira manufacturers may use the results to select the type and dimensions of metal suitable for mbira reeds. -the outcomes add more knowledge to the existing literature on mbira. -modellers may develop interest to conduct more studies on mbira. - it is useful to engineers who mostly use finite element method in designing and development of different products.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The main purpose of this study was to develop the general mass and stiffness matrices for standard beam equation and eventually obtain the finite element equations for mbira reed. So far few studies have been done on mathematical modelling of a beam using finite elements, with applications to an mbira reed. However none of these studies had considered the aspect of a tapering mbira reed. Thus, the study also intends to examine the relationships that exist between the natural frequencies and the varying dimensions and properties of the mbira reed. The finite element method was used as a numerical method to solve the mathematical model of the mbira reed. A MATLAB code was prepared for the same. The usefulness of this study is that -mbira manufacturers may use the results to select the type and dimensions of metal suitable for mbira reeds. -the outcomes add more knowledge to the existing literature on mbira. -modellers may develop interest to conduct more studies on mbira. - it is useful to engineers who mostly use finite element method in designing and development of different products.

Biographie de l'auteur

Benito Mng'ong'o, MSc:Studied Mathematical Modelling at the University of Dar es Salaam (UDSM) between the year 2009 and 2011. He obtained his B. Ed (Science) from UDSM in Mathematics, Physics and Adult Education. He has worked as a teacher and a Headmaster in secondary schools, as a Senior Warden and as Assistant Lecturer at Mkwawa (Tanzania)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3848441101
ISBN 13 
9783848441105
Reliure
Broché
Nombre de pages
76
Coordonnées du fabricant
non disponible
Personne responsable
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