Misconceptions about the caliphate in Islam

Date of Award

2016

Degree Name

M.A. in English

Department

Department of English

Advisor/Chair

Advisor: Andrew Slade

Abstract

This thesis presents a methodology for synthesizing planar linkages to approximate any prescribed periodic function. The mechanisms selected for this task are the slider-crank and the geared five-bar with connecting rod and sliding output (GFBS), where any number of drag-link (or double crank) four-bars are used as drivers. A slider-crank mechanism, when comparing the input crank rotation to the output slider displacement, produces a sinusoid-like function. Instead of directly driving the input crank, a drag-link four-bar may be added that drives the crank from its output via a rigid connection between the two. Driving the input of the added four-bar results in a function that is less sinusoid-like. This process can be continued through the addition of more drag-link mechanisms to the device, progressively altering the curve toward any periodic function with a single maximum. For periodic functions with multiple maxima, a GFBS is used as the terminal linkage added to the chain of drag-link mechanisms. The synthesis process starts by analyzing one period of the function to design either the terminal slider-crank or terminal GFBS. A randomized local search or MATLAB's fmincon command is then conducted as the four-bars are added to minimize the structural error between the desired function and the input-output function of the mechanism. These two optimization techniques are used to acquire the best results of the structural error. Mechanisms have been mgrown" in this fashion to dozens of links that are capable of closely producing functions with a variety of intriguing features."

Keywords

Caliphate, Islam and state, Islamic countries History 20th century, Islamic countries History 21st century, Middle East History 20th century, Middle East History 21st century, History, Islamic Studies, Middle Eastern History, Middle Eastern Studies, Political Science, Religious History, Sociology, Caliphate, Constitution of Medina, Islamic state, Islamic government, Islamic Empire, Islamic history

Rights Statement

Copyright © 2016, author

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