This research material, titled “Vibration of Timoshenko Beam using Laplace Transform” is dedicated to God for His boundless grace and guidance. It is also a tribute to all computer enthusiasts whose contributions made my research journey smoother and enriched my documentation process, making the experience truly fulfilling.
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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.
Vibration of Timoshenko Beam using Laplace Transform
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 technical terms.…
This chapter focuses on the review of related literature. A literature review includes the current knowledge as well as theoretical and methodological contributions to a particular topic. It documents the state of the art with respect to the topic you are writing. It surveys the literature in the topic selected. In this research work the literature review includes the conceputal review, theoretical framework, the review of related literature …
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