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MATLAB Tutorials

MATLAB Tutorials. Session VI Engineering Applications using MATLAB. Rajeev Madazhy Email: rmadaz1@lsu.edu Dept of Mechanical Engineering LSU. Last Session…. Solving Double Integrals Ordinary Differential Equations Examples of ODE using MATLAB…. Mention of DDE’s.

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MATLAB Tutorials

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  1. MATLAB Tutorials Session VI Engineering Applications using MATLAB Rajeev Madazhy Email: rmadaz1@lsu.edu Dept of Mechanical Engineering LSU

  2. Last Session…. • Solving Double Integrals • Ordinary Differential Equations • Examples of ODE using MATLAB…. • Mention of DDE’s

  3. Session VI Outline…. • Engineering Applications using MATLAB…. • Solving non linear differential equations • Algorithm analysis for four bar linkage problem • Other mechanical problems

  4. Solving non-linear Diff Equation…. • Same as linear differential equations (use ode45) • Incorporate differences in the function • Consider the previous example of spring-mass-damper system • let there be an external force of 0.1*sin(w*t) where w is the frequency of the input and the value of c and k varies as follows C=1 for x(1)>0.5m/s and 5 for x(1)<=0.5m/s K=10 for x(2)>=-0.25m and 20 for x(2)<-0.25

  5. Function….

  6. Command window….

  7. Output….

  8. Output….

  9. Example 2: Four Bar Linkage…. C y B   D  A x

  10. Algorithm analysis…. • The lengths of AB, BC, CD, DA are known • To determine the coordinate (x, y) of point C at each rotation angle of ABD or . • Basic formula. B c a C A b

  11. Cont…. Step 1: Calculate length of BD Step 2: Calculate angle Step 3: Calculate angle Step 4: The coordinate of point C is as follows:

  12. Cont…. ( If 0< <pi ) ( If pi < <2pi )

  13. MATLAB program….

  14. MATLAB program….

  15. MATLAB program….

  16. MATLAB program….

  17. Animated output….

  18. (x1,y1) v1 N mgcos  (x2,y2) v2  mgsin mg Moving block in an inclined plane…. Moving object from (x1,y1) to (x2,y2). The friction coefficient is =0.1. The starting velocity at 1 is v1. Calculate v2 (velocity at 2), t (time), and a (acceleration) N

  19. MATLAB Program….

  20. Output….

  21. Determining Diameter of the pipe from the flow rate…. d L Q

  22. Fountain.m

  23. Fountain.m cont….

  24. Piping.m

  25. Piping.m cont…

  26. Recap…. • What have we learnt today? • Engineering Applications using MATLAB…. • Solving non linear differential equations • Algorithm analysis for four bar linkage problem • Other mechanical problems

  27. Thank You

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