Project 3 (100 pts)
Due Monday, April 30, 2018
Chapter 4 focuses on forced vibration of a mechanical system, and Chapter 6 is on two degrees of freedom problems. The first design problem is to select any sedan or truck and model the suspension system as a rigid body with 2 degrees of freedom. This is a classical 2 degree of freedom problem, and you are to research the general information such as dimensions, suspension locations, weight of a car of your choice, and model the free response of this system. For the second problem, you are to research the Taipei 101 building in Taiwan, which can be treated as a 2 degree of freedom tuned mass problem. You are to solve for the mass, spring constant, and the force amplitude matrices of the forced response of the building to an earthquake or wind sway. You decide which one you want to model. Two design examples have been selected for you to solve:
1. Vehicle Suspension: Solve for a vehicle's EOM by treating it as a rigid body with a front and rear suspension system. Note that this is a two-degree of freedom problem. Model the free response of the system using two degrees of freedom. You must clearly state the vehicle and specifications for that vehicle you are using and your source of references.
a) State given/found/assumed information. You must cite references of where you obtain information. (15 pts)
b) Draw your mechanical system. (5 pts)
c) Draw the FBD with the minimum dimensions and variables defined that are needed to model the system. (10 pts)
d) Draw the ID with the minimum dimensions and variables defined that are needed to model the system. (10 pts)
e) Solve for the 2nd ODE that describes the mechanical system. (10 pts)
2. Taipei 101: Model the Taipei 101 building under an earthquake or wind actuation. This is an example of a continuous system that can be converted to a 2 deg. of freedom tuned mass system.
a) State given/found/assumed information. You must cite references of where you obtain information. (15 pts)
b) Draw your mechanical system. (5 pts)
c) Draw the FBD with the minimum dimensions and variables defined that are needed to model the system. (10 pts)
d) Draw the ID with the minimum dimensions and variables defined that are needed to model the system. (10 pts)
e) Solve for the 2nd ODE that describes the mechanical system. (10 pts)