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Mathematica Scientific Demonstrations
by Nasser M. Abbasi. Updated October 22, 2015       page compiled on November 2, 2015 at 2:17am

These are Mathematica interactive demonstrations (CDF) I wrote over the last few years. Clicking on the image plays a small movie to illustrate the CDF. Clicking on the link opens a web page that have the CDF file and source code. To play the CDF, download the CDF file to your computer and double click on it to run it using the free Wolfram CDF player





(67) Bouncing ball off the ground with different coefficient of restitution

Nov. 1, 2015

more...   (bouncing_ball/)

(66) Design for k  using the overshoot design method

Oct. 22, 2015

more...   (overshoot_design/)

(65) Plot of magnitude of low pass filter        ---1--
H (s) = (1+𝜖s)k

Oct. 13, 2015

more...   (simple_low_pass/)

(64) Linearize a plant using feedback

Sept 28, 2015

more...   (linearize_via_feedback/)





(63) Rigid frame using direct stiffness method v.2

June 18, 2015

more...   (rigid_frame_2/)

(62) Rigid frame using direct stiffness method v.1

June 16, 2015

more...   (simple_rigid_frame/)

(61) Body of revolution with zero external moment in body coordinates

June 11, 2015

more...   (spin_cylinder/)

(60) Equation of motion RRR robot arm

April 1, 2015

more...   (robot_arm_RRR/)





(59) Simple example of rotating 3D graphics

April 8, 2015

more...   (rotate_example/)

(58) Double pendulum using heavy spring

January 18, 2015

more...   (spring_pendulum_type_1/)

(57) Kharitonov rectangle for interval polynomial

Nov 28, 2014

more...   (kharitonov_rectangle/)

(56) Illustrating discrete distributions in Version 8

Oct 18, 2014

more...   (IllustratingTheUseOfDiscreteDistributions/)





(55) Basic use of Radon/Inverse Radon transforms

Sept 22, 2014

more...   (simple_radon/)

(54) Symmetric top gyroscope motion

July 15, 2014

more...   (gyroscope_2/)

(53) Solving wave equation using leapfrog method

July 5, 2014

more...   (simple_wave_equation/)

(52) Precession effect due to wheel spinning

June 29, 2014

more...   (gyroscope_1/)





(51) Rotation Stability of spinning cube

June 28, 2014

more...   (spin_cube/)

(50) spinning wheel in 3D

June 29, 2014

more...   (spinning_wheel/)

(49) simple spring-mass-damper

June 19, 2014

more...   (simple_spring_mass_damper/)

(48) simple spring-mass-damper with stop bar

June 19, 2014

more...   (simple_spring_mass_damper_2/)





(47) Adding Gaussian noise to signal using SNR ratio

June 21 2014

more...   (random_noise/)

(46) Solving 2D Poisson PDE on non-uniform rectangle grid

May 30, 2014

more...   (poisson_2D/)

(45) Elliptical satellite motion demo

January 24, 2014

more...   (ellipse/)

(44) Velocity and acceleration for circular motion

January 4 2014

more...   (rotation_demo/)





(43) Illustrating discrete distributions in Version 7

December 28, 2013

more...   (Discrete_Using_Manipulate/)

(42) EMA 542 Advanced dynamics final project

Dec 19, 2013

more...   (EMA542_project/)

(41) EMA 542 HW3 problem 1

Dec 19, 2013

more...   (EMA_542_HW3_problem_1/)

(40) Mohr's Circle For Plane Stress

Nov 10, 2013

more...   (principle_stresses_in_2D/)





(39) Three pendulums with two springs

August 16, 2013

more...   (three_pendulums_with_2_springs/)

(38) Direct and Shear Strain Deformation in 3D

sept 7, 2013

more...   (strain_in_plain_stress/)

(37) Finite Difference Formulas Generated By Interpolating Polynomial

August 29, 2013

more...   (finite_difference/)

(36) Vibration analysis of single degree freedom system

August 29 2013

more...   (single_degree_of_freedom_responses/)





(35) ImageData Using Rows And Columns

August 7, 2013

more...   (image/)

(34) 2D membrane mode vibration

July 31 2013

more...   (memberance_2D_modal_analysis/simulation/)

(33) 2 cylinders with 3 springs

July 26,2013

more...   (two_cylinders_with_3_springs/)

(32) Generalized Single Degree Of Freedom for wind tower structure

July 28 2013

more...   (tower/)





(31) Vibration analysis of free response of second order system

July 24 2013

more...   (unforced_response_one_degree_freedom_system/)

(30) Mass on a spring at end of a solid pendulum

Nov 11, 2012

more...   (solid_pendulum_with_spring_mass/)

(29) Direct dynamics for simulation of pendulum

Nov 10, 2012

more...   (simple_pendulum_damped_driven_CDF_direct_dynamics/)

(28) Posteriori (discrete) particle collision

Sept 25, 2012

more...   (particle_simulation/)





(27) Oscillating Mass On Rotating Table

August 8, 2012

more...   (slot_on_disk/)

(26) Finite element using Ritz method for axial loaded beam

June 2, 2012

more...   (uniaxial_beam_by_ritz_more_elements/)

(25) LQR Control of inverted pendulum on moving cart with friction

April 16, 2012

more...   (inverted_pendulum/)

(24) PID controller design for second order system

Feb 2, 2012

more...   (PID/)





(23) Chaotic motion of damped driven pendulum

September 2, 2011

more...   (simple_pendulum_damped_driven/)

(22) Triple pendulum with damping

September 1, 2011

more...   (double_pendulum/)

(21) Computed tomography using Radon Transform (v.1)

July 5, 2011

more...   (CT_sweep/)

(20) Computed tomography using Radon Transform (v.2)

July 4, 2011

more...   (CT/)





(19) Rigid body disk pendulum rotating on moving table

June 25, 2011

more...   (pendulum_on_moving_table/)

(18) Rigid body pendulum on a flywheel

June 8, 2011

more...   (pendulum_flywheel/)

(17) Finite difference for solving Helmholtz differential equation in 2D

Feb 2, 2012

more...   (Helmholtz_2D/)

(16) Finite difference for solving Helmholtz differential equation in 1D

March 6, 2012

more...   (Helmholtz_1D/)





(15) Finite difference solution for diffusion-advection-reaction (heat) in 1D

Feb 20, 2012

more...   (diffusion_advection_reaction_1D/)

(14) Finite difference solution of the diffusion-convection in 1D

Feb 10, 2012

more...   (diffusion_convection_1D/)

(13) Minimal example to solve Poisson 2D using Jacobi method

March 6, 2012

more...   (jacobi_2d/)

(12) Finite difference for solving poisson PDE on unit squared

Nov 14, 2010

more...   (poisson2DSolver/)





(11) Analog-to-discrete system conversion using impulse invariance

May 3, 2010

more...   (filter/)

(10) Continuous Time Fourier Transform to Discrete Time by Sampling

April 7 2010

more...   (DTFT_demo/)

(9) Sinc interpolation

Feb 18 2010

more...   (sinc_interpolat/)

(8) IIR digital low-pass Filter Design by Butterworth method

Sept 25, 2010

more...   (IIR_design/)





(7) Power content of frequency modulation and phase modulation

September 6 2009

more...   (FM_simulation/)

(6) Rectangular pulse and its Fourier transform

December 27 2009

more...   (sinc_rect/)

(5) Single span Euler Bernoulli beam

Oct 21 2009

more...   (euler_beam_demo/)

(4) Power efficiency of amplitude modulation

August 31 2009

more...   (AM_simulation/)





(3) Design a digital filter using locations of poles and zeros

April 13 2009

more...   (pole_zero/)

(2) Fourier series coefficients of a rectangular pulse signal

April 12 2009

more...   (rect_train/)

(1) Van der Pol differential equation

April 11 2009

more...   (vanderpol/)