The vast majority of the course has dealt with systems or mechanisms that have only one degree of freedom, with lumped parameter models being paramount. These simplifications are often due to convenience rather than necessity. The project for this term will deal with systems with multiple degrees of freedom and non- linear terms and graphical modeling techniques. 1. Select an example of a real-life dynamic system that has at least two degrees of freedom and at least one non-linear constraint. Please select an example that has not been discussed in class. Remember that a degree of freedom can be described as a mass having the ability to move in a single direction. Examples of two-DOF systems include a mass that is free to move in the X-Y plane or a two-mass system constrained to vertical motion. Remember also that the non-linear constraint can be as simple as hard limits on a spring's travel, or a spring that has a different constant depending on direction of motion, among many options. If you have concerns about your model not being appropriate (not meeting requirements, or being too complicated) please see me. 2 Build a model of your system using Simulink. Make any assumptions or simplifications you deem necessary, provided the simplified system still meets the 2-DOF and non-linear requirements. Make educated guesses about parameter values. a. c. 3. Compose a document which describes the system, which will cover the following: A thorough description of your chosen system, including its components and intended application, as well as what the input and output parameters of interest might be b. Any simplifications/assumptions you've made, if any, and why you believe they are appropriate A presentation of your model's block diagram, identifying the major sections, as well as the input and output parameters d. Consider various (or atypical if appropriate) input functions, and investigate their effect on the output parameters of interest. e. What implications do the components of your system have on its overall time response? Can you see any issues that might arise if components are sized inappropriately? f. Does your system suffer from vibration concerns? If so, how might those concerns be mitigated? g. Are there any active control strategies which may be applicable to your system? If so, how would you propose that such a strategy be implemented? h. What are the limitations to your model? (ALL models have limitations.) What kinds of scenarios are not addressed by your model? Please support any claims with data from your model, with time response or frequency response plots configured and formatted appropriately. This assignment is intended as a glorified homework assignment which is intended to address a more realistic scenario than the typical textbook problem. It is NOT intended to be construed in any way as resembling a research thesis or capstone project.
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