Dynamics and Vibrations MATLAB tutorial （动力学和振动MATLAB教程）.pdfVIP

Dynamics and Vibrations MATLAB tutorial School of Engineering Brown University This tutorial is intended to provide a crash-course on using a small subset of the features of MATLAB. If you complete the whole of this tutorial, you will be able to use MATLAB to integrate equations of motion for dynamical systems, plot the results, and use MATLAB optimizers and solvers to make design decisions. You can work step-by-step through this tutorial, or if you prefer, you can brush up on topics from the list below. The tutorial contains more information than you need to start solving dynamics problems using MATLAB. If you are working through the tutorial for the first time, you should complete sections 1-15. You can do the other sections later, when they are needed. 1. What is MATLAB 2. How does MATLAB differ from Mathematica? 3. Why do we have to learn MATLAB? 4. Starting MATLAB 5. Basic MATLAB windows 6. Simple calculations using MATLAB 7. MATLAB help 8. Errors associated with floating point arithmetic (and an example of a basic loop) 9. Vectors in MATLAB 10. Matrices in MATLAB 11. Plotting and graphics in MATLAB 12. Working with M-files 13. MATLAB Functions 14. Organizing complex calculations as functions in an M-file 15. Solving ordinary differential equations (ODEs) using MATLAB 15.1 Solving a basic differential equation 15.2 How the ODE solver works 15.3 Solving a differential equation with adjustable parameters 15.4 Solving a vector valued differential equation 15.5 Solving a higher order differential equation 15.6 Controlling the accuracy of solutions to differential equations 15.7 Looking for special events in a solution 15.8 Other MATLAB differential equation solvers 16. Using MATLAB solvers and optimizers to make de