Assignment 08 - University of California, Berkeley Fall...

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University of California, Berkeley Department of Mechanical Engineering Fall Semester 2008 Instructors: M. Frenklach, R. Horowitz E7, Assignment 8 Assigned: Thursday, October 23, 2008 Due: 12:00 pm, Friday, October 31, 2008. This assignment is an introduction to using plotting tools in MATLAB as well as an introduction to linear algebra. As before, turn in the hard copy of your published file to the drop boxes in Etcheverry 1109 and upload the soft copies of your script and your functions (the M-files) to bspace. Do not forget to name your main M-file as lastname_firstname_SID_lab08.m NOTE: Do not forget to display the contents of your user-defined functions using the command type. MATLAB commands * introduced in this assignment: subplot, semilogx, logspace, meshgrid, mesh, contour, clabel, ezplot 1. The following equation gives the displacement x as a function of time , t ( ) 2 () s in 1 t xt e t αω ωα =− where the parameter α is the damping ratio and ω is the undamped natural frequency. Using 1 = and 1 . 0 = , plot x vs for 0 t 30 t . Note: you should create a function that takes , t and as inputs and returns x . a) Add the labels and to the vertical and horizontal axis using the commands ylabel and xlabel , respectively. ' ' x ' ' t b) Use the command title to include the title “Spring-Mass-Damper Displacement- Time curve” to the graph. c) Use the command grid to display gridlines and also, use the command axis to set the axis from -1 to 1 and the axis from 0 to 40. ' ' x ' ' t * Please refer to MATLAB help to learn how to use the functions introduced in this assignment. Assignment 8 E7 1
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University of California, Berkeley Department of Mechanical Engineering Fall Semester 2008 Instructors: M. Frenklach, R. Horowitz d) Use the subplot command and create a 2 × 1 array of graphs in the Figure window. The top graph should contain a plot of for ) ( t x 15 . 0 = α and the bottom graph should contain a plot of for ) ( t x 3 . 0 = . The graphs should be created for 30 0 t and 1 = ω , while the axes should be labeled as in (b).
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Assignment 08 - University of California, Berkeley Fall...

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