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Assignment: Numerical Simulation
Problem 1
The Maclaurin series expansion for cos (x) is cos (x) = 1 - x2/2 + x4/4! - x6/6! + x8/8! - ...
Starting with the simplest version cos (x) = 1, add terms one at a time to estimate cos (π/3). After each new term is added, compute the true and approximate percent relative errors. Use your calculator or MATLAB to determine the true value. Add terms until the approximate error is below 0.5%.
Problem 2
A nice application of integration is to compute the distance z(t) of an object based on its velocity v(t). Take our bungee jumper as example the velocity is given as v(t) = (√gm/cd) tanh? {(√gcd/m) t}
Suppose that we had measurements of velocity at a series of discrete unequally spaced times during free fall. Use the above equation to synthetically generate such information for a 70-kg jumper with a drag coefficient of 0.275 kg/m. Incorporate some random error by rounding the velocities to the nearest integer. Then use cumtrapz to determine the distance fallen and compare the results to the analytical solution z (t) = (m/cd) ln? [cosh {(√g cd/m) t}]. In addition, develop a plot of the analytical and computed distances along with velocity on the same graph.
Build a Matlab based graphical user interface (GUI) that operates in conjunction with a base Matlab/ Simulink simulation program. Any base simulation is considered acceptable.
Prepare formal documentation of the code for the process management simulation labs for Weeks 1 thru 3. You need an install and README file, a user guide, a system programming guide, and manual pages.
Make a main m-file that you use to run and call your function file. Give it a unique name. Make sure and include your name, your section, and date at the top of the m-file. Create and use at least one loop (for/while/midpoint), Create and use at l..
Evaluate the following series of equations using MATLAB. Convert each of the three equations to frequency domain both by using the MAT lab command and by hand. These equations are determined in MATLAB using the laplace(F) command.
INLAB Report (1): Find the roots for polynomials shown above using MATLAB. Can you guess a function which finds "roots" for polynomials in MATLAB? Use help in MATLAB to find the syntax for function
Formulation of the Ant Colony Search Algorithm to solve Economic Load Dispatch Problems - Using the Ant Colony Search Algorithm to minimize the generation cost in power station with the aid of MatLab program.
For the feedback control system shown below with the process TF, Gp(s) = [10/(s+30)(s2+30s+709)], and for a step input command, design the controller Gc(s), Using the Root Locus method and Using the PID controller
Let us consider a species of animal that has access to unlimited resources. We may assume that both the number of deaths in the species and the number of off-springs will be proportional to the number of individuals.
Draw the Bode plots using MATLAB. Plot them one below the other on the same page. (Use subplot command). Label the axes, include title and grid.
NSE 115 Homework - Functions and Control Flows. Create a vector with Options variable, i.e., Activity, NumAtoms, Both, and create a for loop that calls for your function such that it returns each of the following plots: Plot of number of atoms over..
Multimedia Communications (ELEC 30004) - simulate the assignment in software specified and show the output to the concerned faculty.
Use Adam-Bashforth Technique with your result from Runge-Kutta method as initial step to compute when will Tom catch Jerry - Suppose Tom's acceleration is unknown someone found did not catch Jerry in 2 minutes. Is it possible Tom will catch Jerry in..
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