├── .gitignore
├── LICENSE
├── README.md
├── data
├── fallingtennisball02.txt
└── therocket.txt
├── images
├── damped-spring.png
├── delta_y_slicing.png
├── double_pendulum.png
├── double_pendulum_animation.gif
├── pendulum_spring.png
├── space-garbage.png
├── space_garbage_traj.png
├── spacecraft.png
├── spring-mass.png
├── spring_pendulum_traj.png
├── trajectory_spacecraft.png
├── two-euler-steps.png
└── van_der_pol.png
├── notebooks_en
├── 1_Catch_Motion.ipynb
├── 2_Step_Future.ipynb
├── 3_Get_Oscillations.ipynb
└── 4_Birdseye_Vibrations.ipynb
├── requirements.txt
└── style
└── custom.css
/.gitignore:
--------------------------------------------------------------------------------
1 | #Ignore notebook checkpoints
2 | .ipynb_checkpoints
3 |
4 | #Ignore nbgrader log
5 | .nbgrader.log
6 | .DS_Store
7 |
--------------------------------------------------------------------------------
/LICENSE:
--------------------------------------------------------------------------------
1 | BSD 3-Clause License
2 |
3 | Copyright (c) 2018, engineersCode
4 | All rights reserved.
5 |
6 | Redistribution and use in source and binary forms, with or without
7 | modification, are permitted provided that the following conditions are met:
8 |
9 | * Redistributions of source code must retain the above copyright notice, this
10 | list of conditions and the following disclaimer.
11 |
12 | * Redistributions in binary form must reproduce the above copyright notice,
13 | this list of conditions and the following disclaimer in the documentation
14 | and/or other materials provided with the distribution.
15 |
16 | * Neither the name of the copyright holder nor the names of its
17 | contributors may be used to endorse or promote products derived from
18 | this software without specific prior written permission.
19 |
20 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
21 | AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 | IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
23 | DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
24 | FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25 | DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
26 | SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
27 | CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
28 | OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
29 | OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
30 |
--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
1 | # Engineering Computations Module 3
2 |
3 | _Engineering Computations_ is a collection of stackable learning modules, flexible for adoption in different situations.
4 | It aims to develop computational skills for students in engineering, but it can also be used by students in other science majors.
5 | The course uses the Python programming language and the Jupyter open-source tools for interactive computing.
6 |
7 | After the two foundation course modules, equipping you with the coding patterns for numerical computing, this module is our launching pad to investigate _the dynamics of change and motion_ using computational thinking.
8 |
9 | ## Module 3: Tour the dynamics of change and motion
10 |
11 | _Tackling the dynamics of change with computational thinking._
12 |
13 | **Pre-requisite: learning module [*EngComp 1*](https://github.com/engineersCode/EngComp1_offtheground) of our collection. Recommended: [*EngComp 4*](https://github.com/engineersCode/EngComp4_landlinear).**
14 |
15 | > Get an interactive session in [MyBinder.org](https://mybinder.org/) with these course materials by clicking on the button below.
16 | > Select the folder `notebooks_en` to access the five lessons of this course as fully executable Jupyter notebooks.
17 | >
18 | > [](https://mybinder.org/v2/gh/engineersCode/EngComp3_tourdynamics/master)
19 |
20 | * **Join the [open online course](http://go.gwu.edu/engcomp3)** on our _Open edX_ platform
21 | * **Get a PDF version to print**: _Engineering Computations Module 3: Fly at change in systems._ figshare.
22 | https://doi.org/10.6084/m9.figshare.5673526
23 |
24 | ### [Lesson 1](http://go.gwu.edu/engcomp3lesson1): Catch things in motion
25 |
26 | Working with images and videos in Python using `imageio`. Interactive Matplotlib figures in the notebook, and capturing mouse clicks on images for digitizing an object's position. Computing velocity and acceleration from position captures: a falling ball, and projectile motion. Computing numerical derivatives using differences. Free-fall acceleration from real data.
27 |
28 | ### [Lesson 2](http://go.gwu.edu/engcomp3lesson2): Step to the future
29 |
30 | Computing velocity and position from accelerometer data: a roller-coaster ride. Using the `subplot()` function go draw more than one plot in the same figure. **Euler's method** for initial-value problems, and Taylor expansion showing first-order accuracy. The second-order differential model for an object in free fall written as two first-order differential equations, leading to a vector form. General design of a code to solve ordinary differential equations (ODEs). Application to free fall of a tennis ball and comparison with experimental data. Improved model accounting for air resistance.
31 |
32 | ### [Lesson 3](http://go.gwu.edu/engcomp3lesson3): Get with the oscillations
33 |
34 | Differential model of a spring-mass system without friction: state vector and system in vector form. Amplitude growth with Euler's method on oscillatory systems, and the fix: Euler-Cromer method (semi-implicit Euler).
35 | Numerically observed order of accuracy using a convergence plot: numerical error with different time increments, ∆t.
36 | Modified Euler's method, and observed order of accuracy.
37 |
38 | ### [Lesson 4](http://go.gwu.edu/engcomp3lesson4): Bird's-eye view of mechanical vibrations
39 |
40 | General spring-mass systems with damping and a driving force, revealing a variety of behaviors. Presents a powerful new method to study dynamical systems based on visualizing direction fields and trajectories in the phase plane.
41 |
42 | ## Copyright and License
43 |
44 | (c) 2017 Lorena A. Barba, Natalia C. Clementi. All content is under Creative Commons Attribution [CC-BY 4.0](https://creativecommons.org/licenses/by/4.0/legalcode.txt), and all [code is under BSD-3 clause](https://github.com/engineersCode/EngComp/blob/master/LICENSE). We are happy if you re-use the content in any way!
45 |
46 | [](https://opensource.org/licenses/BSD-3-Clause) [](https://creativecommons.org/licenses/by/4.0/)
47 |
--------------------------------------------------------------------------------
/data/fallingtennisball02.txt:
--------------------------------------------------------------------------------
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1950 | 1.9490000000043008e+00 2.4992202715515768e-01
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1953 | 1.9520000000043205e+00 2.4370148665656696e-01
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1955 | 1.9540000000043336e+00 2.3950599208961293e-01
1956 | 1.9550000000043402e+00 2.3739370751771591e-01
1957 | 1.9560000000043467e+00 2.3527173275601646e-01
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1963 | 1.9620000000043860e+00 2.2233644693336088e-01
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1966 | 1.9650000000044057e+00 2.1573806907617643e-01
1967 | 1.9660000000044122e+00 2.1351924856885604e-01
1968 | 1.9670000000044188e+00 2.1129074920091093e-01
1969 | 1.9680000000044253e+00 2.0905257202915839e-01
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1977 | 1.9760000000044777e+00 1.9079888201144260e-01
1978 | 1.9770000000044843e+00 1.8847365289965187e-01
1979 | 1.9780000000044908e+00 1.8613875679793260e-01
1980 | 1.9790000000044974e+00 1.8379419481219855e-01
1981 | 1.9800000000045039e+00 1.8143996805281459e-01
1982 | 1.9810000000045105e+00 1.7907607763459427e-01
1983 | 1.9820000000045170e+00 1.7670252467679831e-01
1984 | 1.9830000000045236e+00 1.7431931030313161e-01
1985 | 1.9840000000045301e+00 1.7192643564174243e-01
1986 | 1.9850000000045367e+00 1.6952390182521868e-01
1987 | 1.9860000000045432e+00 1.6711170999058719e-01
1988 | 1.9870000000045498e+00 1.6468986127931082e-01
1989 | 1.9880000000045563e+00 1.6225835683728618e-01
1990 | 1.9890000000045629e+00 1.5981719781484263e-01
1991 | 1.9900000000045694e+00 1.5736638536673844e-01
1992 | 1.9910000000045760e+00 1.5490592065215997e-01
1993 | 1.9920000000045825e+00 1.5243580483471869e-01
1994 | 1.9930000000045891e+00 1.4995603908244934e-01
1995 | 1.9940000000045957e+00 1.4746662456780787e-01
1996 | 1.9950000000046022e+00 1.4496756246766893e-01
1997 | 1.9960000000046088e+00 1.4245885396332386e-01
1998 | 1.9970000000046153e+00 1.3994050024047833e-01
1999 | 1.9980000000046219e+00 1.3741250248925030e-01
2000 | 1.9990000000046284e+00 1.3487486190416756e-01
2001 | 2.0000000000046350e+00 1.3232757968416575e-01
2002 | 2.0010000000046415e+00 1.2977065703258589e-01
2003 | 2.0020000000046481e+00 1.2720409515717199e-01
2004 | 2.0030000000046546e+00 1.2462789527006958e-01
2005 | 2.0040000000046612e+00 1.2204205858782234e-01
2006 | 2.0050000000046677e+00 1.1944658633137059e-01
2007 | 2.0060000000046743e+00 1.1684147972604865e-01
2008 | 2.0070000000046808e+00 1.1422674000158274e-01
2009 | 2.0080000000046874e+00 1.1160236839208872e-01
2010 | 2.0090000000046939e+00 1.0896836613606932e-01
2011 | 2.0100000000047005e+00 1.0632473447641239e-01
2012 | 2.0110000000047070e+00 1.0367147466038835e-01
2013 | 2.0120000000047136e+00 1.0100858793964791e-01
2014 | 2.0130000000047201e+00 9.8336075570219478e-02
2015 | 2.0140000000047267e+00 9.5653938812507056e-02
2016 | 2.0150000000047332e+00 9.2962178931287859e-02
2017 | 2.0160000000047398e+00 9.0260797195710105e-02
2018 | 2.0170000000047463e+00 8.7549794879290127e-02
2019 | 2.0180000000047529e+00 8.4829173259910531e-02
2020 | 2.0190000000047594e+00 8.2098933619817668e-02
2021 | 2.0200000000047660e+00 7.9359077245619025e-02
2022 | 2.0210000000047725e+00 7.6609605428281019e-02
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2077 | 2.0760000000051329e+00 3.9846581025015690e-02
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2082 | 2.0810000000051656e+00 5.0115658629950335e-02
2083 | 2.0820000000051722e+00 5.2139767567324177e-02
2084 | 2.0830000000051787e+00 5.4153976612834165e-02
2085 | 2.0840000000051853e+00 5.6158286743538822e-02
2086 | 2.0850000000051918e+00 5.8152698931599266e-02
2087 | 2.0860000000051984e+00 6.0137214144281123e-02
2088 | 2.0870000000052049e+00 6.2111833343956369e-02
2089 | 2.0880000000052115e+00 6.4076557488105354e-02
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2091 | 2.0900000000052246e+00 6.7976324415297648e-02
2092 | 2.0910000000052311e+00 6.9911369088859601e-02
2093 | 2.0920000000052377e+00 7.1836522487936039e-02
2094 | 2.0930000000052442e+00 7.3751785545576182e-02
2095 | 2.0940000000052508e+00 7.5657159189948586e-02
2096 | 2.0950000000052573e+00 7.7552644344343127e-02
2097 | 2.0960000000052639e+00 7.9438241927172484e-02
2098 | 2.0970000000052704e+00 8.1313952851974014e-02
2099 | 2.0980000000052770e+00 8.3179778027411513e-02
2100 | 2.0990000000052835e+00 8.5035718357277010e-02
2101 | 2.1000000000052901e+00 8.6881774740492565e-02
2102 | 2.1010000000052966e+00 8.8717948071112024e-02
2103 | 2.1020000000053032e+00 9.0544239238322680e-02
2104 | 2.1030000000053097e+00 9.2360649126447147e-02
2105 | 2.1040000000053163e+00 9.4167178614944794e-02
2106 | 2.1050000000053228e+00 9.5963828578413818e-02
2107 | 2.1060000000053294e+00 9.7750599886592737e-02
2108 | 2.1070000000053359e+00 9.9527493404362052e-02
2109 | 2.1080000000053425e+00 1.0129450999174598e-01
2110 | 2.1090000000053490e+00 1.0305165050391422e-01
2111 | 2.1100000000053556e+00 1.0479891579118333e-01
2112 | 2.1110000000053621e+00 1.0653630669901892e-01
2113 | 2.1120000000053687e+00 1.0826382406803656e-01
2114 | 2.1130000000053752e+00 1.0998146873400408e-01
2115 | 2.1140000000053818e+00 1.1168924152784285e-01
2116 | 2.1150000000053883e+00 1.1338714327562932e-01
2117 | 2.1160000000053949e+00 1.1507517479859705e-01
2118 | 2.1170000000054014e+00 1.1675333691313780e-01
2119 | 2.1180000000054080e+00 1.1842163043080342e-01
2120 | 2.1190000000054146e+00 1.2008005615830723e-01
2121 | 2.1200000000054211e+00 1.2172861489752587e-01
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