The scope of this paper is the description of techniques and algorithms which engineers use in mathematically modeling physical systems. This work builds on recently developed algorithms that can be used to guide students in solving and understanding the mathematical modeling of physical systems. The techniques have been developed for general use in. a number of applications, especially in a Kinematics and Dynamics course. The techniques allow easy manipulation of equations, and systems of governing equations, in complex situations. The algorithms and techniques generally guarantee, and actually restrict, the student to speciji a design variables set in a manner that solutions are possible. This paper documents that the selection of design variables is d$$cult, anti-intuitive, and in some cases it is humanly impossible to generate all of the possible combinations of constraints.While currently the algorithms are implemented in a computer program, the techniques can also be applied to hand calculations. By way of demonstration, a Kinematics and Dynamics design sofiare program was developed which exemplifies the usefulness, and more importantly, the key benefits o f t h e developed algorithms. The intention is to show that the algorithms are applicable to any set of equations and can be used to enhance students problem solving abilities.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.