Final Project-Zhiwei Zhang#20
Conversation
Spring-mass-damper system
Spring-mass-damper system
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The numerical content of this notebook is a little on the light side: it's a single application of the simplest numerical method we learned in this course (Euler's method). The derivation of the spring-mass-damper system is, of course, a standard textbook example and pretty close to the derivation on Wikipedia here: The image you used on Figure 1 is found on this webpage: The image used in Figure 2 is from your first reference, but you also did not include a credit line for the image. Although you may find a lot of examples of people that assess the accuracy of a numerical result by the "eyeball metric" of making a plot and comparing with another result, this is not really a good metric. We discussed early in this course how to assess a numerical solution by looking at grid convergence, for example. And if you have an analytical solution, like in this case, you really want to calculate some error measure! What is nice of your notebook is that you introduce the Typos & Style LaTeX tip: use backslash before transcendental functions for them to appear in roman type, e.g., \cos, \sin If you add a semi-colon at the end of your plotting statements, it suppresses the ugly Matplotlib output, like: Both of the position and velocity experience ...—>Both the position and ... More complicate systems—>complicated There are also a bunch of either missing or misplaced articles (especially the definite article "the"), which is a common problem for ESL speakers of Asian origin. This is something you need to work on. |
cited sources and corrected some typos
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Thank you for your correcting. |
Spring-mass-damper system