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

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

Softcover

ISBN 10: 3848441101 ISBN 13: 9783848441105

Publisher: 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.

About this title

About the Author

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)

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• Language: English
• ISBN 10: 3848441101
• ISBN 13: 9783848441105
• Binding: Paperback
• Number of pages: 76