Mathematical Modeling of Differential Equations of Motion (Damped)

I am happy to announce my 2nd recent publication with Dr Brian Winkel titled Spring Mass Damped in SIMIODE in a series of articles we are producing to help teachers and students understand the engineering and mathematics behind the use of Tuned Mass Dampers. There is also a Teacher Version of the same work available exclusively to our teacher colleagues in SIMIODE.

Dr Winkel and I offer this piece as an extension of our earlier work involving a "Spring Mass with Undamped" scenario and feel it serves as a contribution for teachers and students who use SIMIODE for teaching and learning differential equations in a modeling first approach.  Moreover, this is an important part of SIMIODE's efforts to motivate the mathematics for students, especially students who are studying engineering. This materials will form an integral part of the journey to significant modeling scenarios and applications offered students in SIMIODE. This piece is the second in a series which will expose students to Tuned Mass Dampers and their importance in structures via material they will see in an introductory differential equations or engineering mathematics course

Note from the publisher: "SIMIODE offers materials to students and teachers (FREE) using a peer review, double blind referee system and full editorial engagement. We are very pleased that you are a contributor to that effort with this material. Thank you very much for your effort on behalf of our community and on behalf of the broader mathematics community. Your exposition and your helpful comments (based on your own experiences with this material) to fellow teachers who might elect to use this material in their classes is a great contribution as well."