This page presents an excerpt of the available research material, including the Preliminary Pages, Table of Contents, Abstract, Chapters One to Five, and References. It provides a comprehensive overview of the study, enhancing readability and accessibility for students, and researchers seeking complete material on the topic stated above.
I am profoundly grateful to everyone who contributed to the successful completion of this project. I am especially grateful to my Supervisor (Name), the Head of Department (Name), and the Lecturers in the Department of Mathematics for their invaluable guidance and support. I also acknowledge the contributions of authors and scholars whose works on Vibration of Timoshenko Beam using Laplace Transform provided essential insights. Special thanks go to my study area (and any funding organizations, if applicable) for their financial assistance. I am equally thankful to stakeholders, including mentors, teachers, and colleagues, for their encouragement and support. Finally, I deeply appreciate my family and friends for their patience and unwavering support throughout this journey. Your contributions have been instrumental in making this research a reality.
The study evaluates the Vibration of Timoshenko Beam using Laplace Transform, thereby eliminating the problems of the Vibration of Timoshenko Beam. The application of Laplace Transform to case of continuous beam vibration, it is quite necessary and encouraged to carry out related studies on the application method. The Laplace transform method provided the means to obtain a solution to a vibrating system subject to a set of general boundary conditions and to four different types of in-span attachments applied simultaneously. Boundary conditions related to the initial-boundary value problem under consideration were described by a proper differential equation of both or only one of those functions. Construction of the dynamic Green functions was proposed to solve the problem of forced vibration amplitudes of the beam, excited by an arbitrary function of time t and applied to a beam in an arbitrary way, as a function of the spatial coordinate x. This study will be of immense benefit to mathematician, statistician, and other researchers who intend to know more on this study and can also be used by non-researchers to build more on their research work. This study contributes to knowledge and could serve as a guide for other study.
1.1 Introduction
… As a prelude to other parts of this study, this chapter will discuss the background upon which this study was initiated, the statement of problems that led to this study, the aim and objectives of the study. Others are significance of the study, scope of work, Research hypothesis and questions, limitation of the study and definition of terms.…
