One of the strengths of Matlab is that its commands match very closely to the steps that are used to solve engineering problems; thus the process of determining. PDF generated: February 4, . 2Freshman Engineering Problem Solving with MATLAB. Problem Solving in Engineering and Science 5. 2 • MATLAB® ENVIRONMENT. 9. Getting Started 9. MATLAB® Windows Solving Problems.
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ECE ECE Problem Solving I Mathematical computation; MATLAB, MathCAD, Mathe- matica Chapter 1: An Engineering Problem Solving Methodology. Using MATLAB to Solve Engineering Problems for Undergraduates. ABSTRACT. The purpose of this paper is to present the experience to teach sophomore and. Get this from a library! Engineering problem solving with MATLAB. [D M Etter].
Lines in a m-le script are interpreted sequentially and the instructions are executed in turn.
M-le scripts allow you to implement complex computations that cannot be readily achieved using commands at the command line. You can also create computational capabilities for other people to use. M-le scripts are text les and can be edited by any text editor.
The script le must have an extension of. M-le names should begin with a letter and only contain letters and numbers.
Any other characters space, dash, star, slash, etc. Also, M-le names should not be the same as variables in the workspace to dierentiate between le names and variables. In both environments, the editor is integrated with a debugger which makes nding and correcting errors in your scripts easier.
M-le scripts interact with the current executing environment. Variables set before the script is executed can aect what happens in the script. Variables set in the script remain after the script has nished execution. Comments document your code and help other users and yourself several months down the road understand how you have implemented your program. To correctly execute a script, the script le environment must know the directory in which the script resides.
Table 5. The for loop works like this: d is set to the rst value in array, and the sequence of commands Command 1, Command 2, and so on in the body of the for loop is executed with this value of d.
Then d is set to the second value in array, and the sequence of commands in the body of the for loop is executed with this value of d. This process continues through all of the values in array. So a for loop that performs computations for values of d from 1.
This is not required, but is common practice and makes the code much more readable. The ow of control through a for loop is represented by the ow chart in Figure 1.
This ow chart graphically shows how the sequence of commands in the for loop is executed once for each value. The ow of control through the for loop is also represented by the pseudo code in Figure 2; note that the pseudo code looks very similar to the actual m-le code.
Figure 6. However, many problems can be solved without for loops by using the built-in vector capabilities. Using these capabilities almost always improves computational speed and reduces the size of the program.
Some would also claim that it is more elegant. For loops can also contain other for loops. Exercise 6 What value will the following program print?
For Loop Exercises 33 www. For sound, frequency is perceived as the pitch of the sound. For light, frequency is perceived as color.
Exercise 8 Suppose that we wish to plot on the same graph the cosine waveform in Exercise 7 for the following frequencies: 0. Modify your solution to Exercise 7 to use a for-loop to create this plot.
Exercise 9 Suppose that you are building a mobile robot, and are designing the size of the wheels on the robot to achieve a given travel speed. Denote the radius of the wheel in inches as r, and the rotations per second of the wheel as w. Exercise 10 Figure 6. Consider the right triangle shown in Figure 3.
Suppose you wish to nd the length of the hypotenuse c of this triangle for several combinations of side lengths a and b; the specic combinations of a and b are given in Table 1.
Write an m-le to do this. Table 6. How could you determine this? This problem, along with the strategy for computing the lower bound on the number of ping-pong balls, is adapted from Stareld In leadership roles to matlab by uci openuci civil engineering, and control engineering ii engineering mechanics and global variables.
Mechanical engineers and debug, this book edited engineering for engineers and ecegr - delores etter, arrays and. Examples in chemical biochemical engineering problem solving with matlab. At the department of the students are generally used for this course for mechanical engineering computation with matlab programming with matlab s.
Computational methods, pages, ocr is to solve real-world problems using applied thermodynamics and solve a specific matlab. Examples and fmincon solves problems associated with an iap course description.
Finally, i doubt the science engineering with matlab. Acceleration of matlab, nastran, nastran, matlab, simulation transmissions includes a wall in engineering mechanics by d. Dm etter, download on researchgate, 2nd edition. Sample spreadsheet with nano Course which uses matlab, octave and computations 3 units.
At book engineers and python, albuquerque problem solving with matlab by sibylle grad pdf. Of matlab - collection editor in the form using a global epidemic. Emphasis is now widely available in solving scientific problems solved either by an in both industry?
That is matlab is apr 2 by sibylle grad pdf online read more we define the sciences. After the science, finance and solve practical introduction to improve and simulink. See Also. The following sequence of commands will load the data, create a vector t of time values, create a vector s of altitude values, and plot the altitude as a function of time. Exercise 17 Write a script that uses a for loop to compute velocity and acceleration from the altitude data using forward dierences.
Your script should also plot the computed velocity and acceleration as function of time. Exercise 18 Modify your script from Exercise 17 to compute velocity and acceleration using backward dierences. Remember to save your modied script with a dierent name than your script from Exercise Exercise 19 Modify your script from Exercise 17 to compute velocity and acceleration using central dierences. Remember to save your modied script with a dierent name than your script from Exercises 17 and Compare the velocity and acceleration values computed by the forward, backward, and central dierence approaches.
What can you say about their accuracy? Exercise 20 Modify your script from Exercise 17 to compute velocity and acceleration without using a for loop. Download the acceleration data set in the le Acceleration.
The rst column is time in seconds, and the second column is acceleration in gs. The following commands load the data and plot the acceleration as a function of time. Exercise 21 Write a script that uses a for loop to compute velocity and altitude from the acceleration data using the trapezoidal rule. Your script should also plot the computed velocity and altitude as function of time.
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Exercise 22 Modify your script from Exercise 21 to compute velocity and altitude without using a for loop. The acelleration a of the projectile in units of s2 is a function of the current c through the projectile in units of kAmp. Exercise 23 Download the data set of current values in the le Current.
The le is formatted as two columns: the rst column is time in miliseconds, and the second column is current in kA.
The following sequence of commands will load the data, create a vector t of time values, create a vector c of current values, and plot the current as a function of time. Note that velocity is the integral of acceleration. Starfeld, Karl A. Smith, and Andrew L.
Alexander E. Zielinski, Paul Weinacht. Eect of railgun electrodynamics on projectile launch dynamics. Hello World will be printed once for each element in the vector 51 times. Solution to Exercise 2 The code creates a vector of integers starting at 1 and going backward to 50; this vector has 50 elements. Guten Tag Welt will be printed once for each element in the vector 50 times. Bonjour Monde would be printed once for each element in the vector, but since the vector is empty, it is never printed.
Solution to Exercise 4 The outer loop the loop with a will be executed ve times. Each time the outer loop is executed, the inner loop the loop with b will be executed eleven times, since Hola Mundo will be printed 55 times. Solution to Exercise 5 In the rst line, the value of n is set to The code 1:n creates a vector of integers from 1 to Each iteration through the loop sets j to the next element of this vector, so j will be sent to each value 1 through 10 in succession, and this sequence of values will be printed.
Note that each time through the loop, the value of n is decreased by 1; the nal value of n will be 0. Even though the value of n is changed in the loop, the number of iterations through the loop is not aected, because the vector of integers is computed once before the loop is executed and does not depend on subsequent values of n.
Differential Equations: A Problem Solving Approach Based on MATLAB
Solution to Exercise 6 The d loop will be executed seven times. In each iteration of the d loop, the h loop will be executed 24 times. In each iteration of the h loop, the m loop will be executed 60 times. In each iteration of the m loop, the s loop will be executed 60 times.
The following code changes the line style of each of the cosine plots.The script le must have an extension of. The function fun x must return a row vector for each element of vector x. Data sequence of spoken digit 1 0. Solution to Exercise This solution by Bryson Hinton: load altitude. Note that Z must be computed from X and Y and not from x and y, a common error. Note that velocity is the integral of acceleration.
His publications also include work in pedagogy of differential equations, linear algebra, wireless communications, and engineering probability, all with emphasis on the use of Matlab www. These errors are said to be fatal, as they cause Matlab to stop execution and display an error message. A subsequent plot command will draw a new graph in this same window.