updated January 24, 2014

These are some Mathematica CDF apps that I wrote over the last few years. These can be run using the free Mathematica CDF player available from Wolfram CDF plugin webpage

These are updated all the time as needed. The current version of each app is given by the date of the modification posted below the name of the application.

Clicking the image will run a small animation made using an animated gif file. Clicking the run link below the image opens a new web page where the CDF will automatically load and run inside the web page. Many of those pages contain more documentation on the application. Some have separate reports.

The CDF and the notebook are also available using the links below the image to download and run locally.

Version: August 16, 2013

This Demonstration simulates the equations of motion of three rigid pendulums A, B, C with a spring attached from the end of A to the end of B and another spring attached from the end of B to the end of C.

.nb | .cdf | listing | run |

Version: Dec 19, 2013

Final project EMA 542. Two noncollinear rotating bodies.

.nb | .cdf | listing | report | run |

Version: Dec 19, 2013

Solving EMA 542 HW3 problem 1

.nb | .cdf | listing | run |

Version: sept 7, 2013

Shows effect of change in $E$ and Poisson ratio on normal stresses and shear stresses. Shows the 3D deformation in an isotropic unit volume (pure shear).

.nb | .cdf | listing | run |

Version: August 29, 2013

Generated By Interpolating Polynomial. Shows error in approximation based on which formula used.

.nb | .cdf | listing | run |

Version: July 31 2013

PDE solved is $\frac{\partial^2 w}{\partial^2 x}+\frac{\partial^2 w}{\partial^2 y}=\frac{1}{c} \frac{\partial^2 w}{\partial^2 t}$ Where $w(x,y,t)$ is the amplitude of the wave.

.nb | .cdf | listing |

report | run |

Version: July 28 2013

Generalized Single Degree Of Freedom Method For Wind Tower Structure. Estimating natural frequency for industrial wind tower using the method of generalized single degree of freedom

.nb | .cdf | listing | run |

Version: August 29 2013

Solving $m u''+c u'+k u=F \sin(\varpi t)$ vibration, resonance, critical damping, beat beat phenomenon, impulse response, magnification factor

.nb | .cdf | listing | run |

Version: July 24 2013

.nb | .cdf | listing | run |

Version: January 4 2014

Simple demo that shows a particle moving in circular orbit. Vectors show the current velocity and the red colored vectors show the centrifugal and tangential accelerations. The length of the vectors is made to be proportional to the magnitudes..nb | .cdf | listing | run |

Version: Jan 24, 2014

Change the ellipse eccentricity and see the effect on motion of satellite..nb | .cdf | listing | run |

Version: Sept 10, 2012

Three degrees of freedom, Lagrangian method, Rayleigh factor, effective weight of spring.nb | .cdf | listing | |

report: | HTML | .nb | |

run |

Version: Sept 25, 2012

collision detection using priori (continuous) detection. Supports up to 8 particles..nb | .cdf | listing |

report | run |

Version: August 8, 2012

moment of inertia, rotation dynamics, spring-mass on spinning disk.nb | .cdf | listing |

report | run |

Version: September 1, 2011

Triple, double and simple pendulum, damped medium. Lagrangian. phase portrait.nb | .cdf | listing |

report | run |

Version: September 2, 2011

Bifurcation, Poincare map, Power Spectrum, Phase Portrait.nb | .cdf | listing | run |

Version: Nov 10, 2012

Lagrangian method, spring mass, NDSolve.nb | .cdf | listing | |

report: | HTML | .nb | |

run |

Version: June 25, 2011

Lagrangian, principal moments of inertia, angular momentum $\frac{dL}{dt}$, 3 nonlinear equations of motion, numerical solution with NDSolve using direct Dynamics without using Manipulate.nb | .cdf | listing | run |

Version: June 8, 2011

2 degrees of freedom: $\theta$, the pendulum's swing angle, and $\phi$ the flywheel's rotation angle. two nonlinear equations, Lagrangian energy method.nb | .cdf | listing | run |

Version: Nov 10, 2012

simulation of damped and driven pendulum with chaotic motion using direct Dynamics without using Manipulate.nb | .cdf | listing | run |

Version: July 26,2013

Simulation of motion of 2 masses connected by 3 springs. Equations derived using the Lagrangian energy method.nb | .cdf | listing |

report | run |

Version: April 16, 2012

.nb | .cdf | listing | run |

Version: Feb 2, 2012

P, PI, PD, or PID. simulate the plant with and without the controller, Bode, Nyquist, open and closed loop.nb | .cdf | listing | run |

Version: Oct 21 2009

deflection curve of beam, bending moment, shear diagrams, point load, distributed load, external moment, deflection ratio.nb | .cdf | listing | run |

Version: 6/2/2012

deflection curve of beam, bending moment, shear diagrams, point load, distributed load, external moment, deflection ratio.nb | .cdf | listing |

report | run |

Version: May 20, 2013

$-\nabla^2 u=f(x,y)$, Neummann, Dirichlet B.C. direct, Jacobi, Gauss-Seidel, Gauss-Seidel red/black, SOR, Chebyshev, steepest descent, conjugate gradient, GMRES, BiCGSTAB, sparse matrices.nb | .cdf | listing | run |

Version: Feb 2, 2012

solving $-\nabla^2 u-k^2 u=f(x,y)$ in 2D, Dirichlet, Sommerfeld B.C..nb | .cdf | listing | run |

Version: March 6, 2012

solving $-U_{xx} -k^2 U=f(x)$ in 1D, Dirichlet, Sommerfeld B.C..nb | .cdf | listing | run |

Version: Feb 20, 2012

solving $c\,u_{xx}=d\,u_t+a\,u+f(x,t)$ in 1D. Neummann, Dirichlet B.C..nb | .cdf | listing | run |

Version: Feb 10, 2012

solving $c\, u_{xx}=d\, u_t+a\, u_x$ in 1D, Dirichlet, Neummann B.C..nb | .cdf | listing | run |

Version: March 6, 2012

.nb | .cdf | listing | run |

Version: Nov 14, 2010

small example, numerical solution of $\Delta^2u=-e^{-(x-0.25)^2-(y-0.6)^2}$ on unit square, Dirichlet B.C..nb | .cdf | listing | run |

Version: April 12 2009

phase plot ($x'(t)$ vs. $x(t)$), Van der Pol nonlinear differential equation for different initial conditions.nb | .cdf | listing |

report | run |

Version: April 12 2009

select poles and zero locations with mouse, magnitude spectrum, BodePlot, Stability Margins, Nyquist, Nichols, root locus, S-plane map,region of convergence, convert H(z) to H(s).nb | .cdf | listing | run |

Version: April 12 2009

plot magnitude and phase of the Fourier coefficients for a rectangular pulse train signal, sinc function.nb | .cdf | listing | run |

Version: April 7 2010

Relation between continuous time Fourier transform (CTFT) of a continuous time signal $x_a(t)$ and discrete time Fourier transform (DTFT) of the discrete signal $x(n)$, sampling.nb | .cdf | listing | run |

Version: May 3, 2010

Applied to second order system, sampling, poles, zeros, $H(z)= \sum\limits_{i=1}^N \frac{T\, A_i}{1-z^{-1} \exp(p_i\, T)}$, $H(s)= \sum\limits_{i=1}^N \frac{A_i}{s-p_i}$.nb | .cdf | listing | run |

Version: August 31 2009

Illustrates the effect of changing the modulation factor on the power efficiency of ordinary amplitude modulation (AM).nb | .cdf | listing | run |

Version: December 27 2009

Manipulate a rectangular pulse signal and observe how its Fourier transform changes.nb | .cdf | listing | run |

Version: Feb 18 2010

Manipulate a rectangular pulse signal and observe how its Fourier transform changes.nb | .cdf | listing | run |

Version: September 6 2009

BesselJ, modulation index, carrier frequency, carrier amplitude, deviation constant, bandwidth of the modulated carrier, power ratio..nb | .cdf | listing | run |

Version: Sept 25, 2010

passband end frequency, attenuation, transformation of $H(s)$ to $H(z)$, bilinear or impulse invariance.nb | .cdf | listing |

report | run |

Version: July 5, 2011

Simulation of Computed Tomography (CT), Radon transform. Incremental angle version.nb | .cdf | listing | run |

Version: July 4, 2011

Simulation of Computed Tomography (CT), Radon transform. Incremental angle version.nb | .cdf | listing | run |