(Design Project) Modal analysis is a very important tool in Engineering Vibration Analysis and is not only limited to discreet systems but also applied in continuous system. For now, we will focus on Multi-DoF Discreet Systems. You are to design a general-purpose program code in Matlab, which can take any n-DoF system and apply modal analysis to it and get a solution. For this you need to visit voice over lectures of Weeks 14- 15 in advance. I would suggest that you should also read the text-book and other vibration books for better understanding. For your level you only need to deal with modal analysis of free-vibration undamped systems. You must be able to take input from user which includes mass, damping, stiffness and force matrices and initial conditions either through a command line or via a csv, excel or dat file. Apply different checks as to ascertain which kind of coupling the system is and whether it is undamped, underdamped and/or free vibration or forced vibration etc. Depending on this you will then apply the different steps of modal analysis. To verify your code, you must select two sets of problems, one from any book of your choice and one real world problem (should NOT be taken from any vibration book), preferably greater than 2-DoF system. The examples and the real-world problem you will choose should be unique and different from the other students. You must solve the system analytically and through your code to verify your results. You can apply numerical techniques to make your code more efficient and elegant. (For this you can refer to Vibration books such as Rao and Inman and numerical methods book). Your code should also be able to plot the response of the system against time and be able to save the different output parameters either in an excel file or dat file. (Design Project) Modal analysis is a very important tool in Engineering Vibration Analysis and is not only limited to discreet systems but also applied in continuous system. For now, we will focus on Multi-DoF Discreet Systems. You are to design a general-purpose program code in Matlab, which can take any n-DoF system and apply modal analysis to it and get a solution. For this you need to visit voice over lectures of Weeks 14- 15 in advance. I would suggest that you should also read the text-book and other vibration books for better understanding. For your level you only need to deal with modal analysis of free-vibration undamped systems. You must be able to take input from user which includes mass, damping, stiffness and force matrices and initial conditions either through a command line or via a csv, excel or dat file. Apply different checks as to ascertain which kind of coupling the system is and whether it is undamped, underdamped and/or free vibration or forced vibration etc. Depending on this you will then apply the different steps of modal analysis. To verify your code, you must select two sets of problems, one from any book of your choice and one real world problem (should NOT be taken from any vibration book), preferably greater than 2-DoF system. The examples and the real-world problem you will choose should be unique and different from the other students. You must solve the system analytically and through your code to verify your results. You can apply numerical techniques to make your code more efficient and elegant. (For this you can refer to Vibration books such as Rao and Inman and numerical methods book). Your code should also be able to plot the response of the system against time and be able to save the different output parameters either in an excel file or dat file
