Howe, D. K., & Barton, O. (2016, June), Developing an Interactive Computer Program to Enhance Student Learning of Dynamical Systems  Paper presented at 2016 ASEE Annual Conference & Exposition, New Orleans, Louisiana. 10.18260/p.26746

\bibitem{asee_peer_26746}
  Howe, D. K., \& Barton, O. (2016, June), \emph{Developing an Interactive Computer Program to Enhance Student Learning of Dynamical Systems}
  Paper presented at 2016 ASEE Annual Conference \& Exposition, New Orleans, Louisiana.
  10.18260/p.26746

Daniel K. Howe and Oscar Barton Jr..  "Developing an Interactive Computer Program to Enhance Student Learning of Dynamical Systems".  2016 ASEE Annual Conference & Exposition, New Orleans, Louisiana, 2016, June.  ASEE Conferences, 2016.  https://peer.asee.org/26746 Internet.  29 Jun, 2024

\bibitem{asee_peer_26746}
  Daniel K. Howe and Oscar Barton Jr..
  "Developing an Interactive Computer Program to Enhance Student Learning of Dynamical Systems".
  \emph{2016 ASEE Annual Conference \& Exposition, New Orleans, Louisiana, 2016, June}.
  ASEE Conferences, 2016.
  https://peer.asee.org/26746 Internet.  29 Jun, 2024

@INPROCEEDINGS{asee_peer_26746
author = "Daniel K. Howe and Oscar Barton Jr."
title = "Developing an Interactive Computer Program to Enhance Student Learning of Dynamical Systems"
booktitle = "2016 ASEE Annual Conference \& Exposition"
year = "2016"
month = "June"
address = "New Orleans, Louisiana"
publisher = "ASEE Conferences"
note = {https://peer.asee.org/26746}
number = {10.18260/p.26746}
}

TY  - CPAPER
AB  - Today’s students are quite accustomed to availing themselves of the latest in computer innovations and technology to aid in learning and the attainment of student outcomes. For example, use of tablets and cellphones in the classroom to take notes, collaborate on projects and to search the web for information is commonplace.  Likewise, advancements in computer software and tools afford in-depth simulations of both mechanical and thermal systems.  MATHEMATICA, with its symbolic and visual capabilities, is one such tool that, despite its robustness, has seen little utilization in the classroom environment, yet it is viewed as a tool for those who pursue research in every discipline from economics to engineering.  In this paper, the capabilities of MATHEMATICA are explored as a tool to model and visualize the forced mechanical response of viscoelastically-damped, multiple degree of freedoms systems through a Newtonian approach, although the Lagrangian approach is equally applicable. By visualizing as well as solving for the behavior of the system, the ability to understand the behavior of dynamical systems is dramatically increased. This possesses value for both an analyst actually utilizing the model as well as an educator who wishes to demonstrate the behavior of these systems without repeatedly undertaking complicated calculations by encapsulating their behavior in a ready to use package. Proportional damping permits the resulting Eigen-value problem to be diagonalized using a Cholesky Decomposition method.  In addition, multiple harmonics can be included as part of the forcing function. Displacement results for each mass permit the generation of graphical output and also provide the needed input for the animated motions of all included masses for two degree of freedom systems. While the ultimate goal is to solve the dynamic response of general nth degree of freedom systems, explicit results are presented for the second, fourth, and tenth order degree of freedom system to demonstrate the efficiency of the software.  All results are demonstrated in an interactive, user friendly program developed explicitly for this purpose.
AU  - Daniel K. Howe
AU  - Oscar Barton Jr.
CY  - New Orleans, Louisiana
DA  - 2016/06/26
PB  - ASEE Conferences
TI  - Developing an Interactive Computer Program to Enhance Student Learning of Dynamical Systems
UR  - https://peer.asee.org/26746
DO  - 10.18260/p.26746
ER  -