Answer Happy

mae+c+kras Questions 1. In year 2 of your aerospace course you will study two modules that examine the dynamic response of systems. In the Dynamics I module you will learn that the fundamental equation for the response of a single degree of freedom system is: dxdx dt For example, consider an object of mass m attached to the end of a light spring. The equation allows the displacement of the mass, x. to be calculated as a function of time. The other variables in the equation represent the stiffness of the spring, k, the camping coefficient for the spring. c. and any force applied to the system, F. This equation can be solved using discretization in a number of ways. One way is to convert the second order equation, indicated by the second derivative being present, into two first order equations. One way to do this is: dt dy m+c+kxF dt In these equations we only have first derivatives, hence they are first order differential equations. You will learn that the dynamic equation has four types of solution dependent on the value of c. The script EGA118_M3_01.m plots examples of the solution of the equations for values of cin the four different categories. Normally we would use F = 0, but to make the flow chart a little more challenging I have added logic that changes the force as a function of time. a. Write pseudo code, using the constructs detailed in section 5.2.1 of the reading material, for the script. The aim of pseudo code is that it should be language independent and that converting the pseudo code to code is a small step. Hence the pseudo code should represent the steps in the code quite closely. For the plot() and associated commands, in the pseudo code simply use: OUTPUT and X [10 Marks b. Draw a flow chart that represent the algorithm. For the flow chart I expect the control of the algorithm to be represented accurately. The processes can be combined and generalized but their general purpose should be captured. (10 Marks) C. Adjust the script so that you can answer the following question. What is a good time step to use to get an accurate answer? Include a plot in your report to support your answer. You should not include any MATLAB code as an answer to this question. As a hint the undamped case is usually the hardest to calculate accurately using the techniques in the algorithm. Setting F to zero for all time may help in this part. [10 Marks