RD_final9_soln - 16.881 Robust System Design Proposed...

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16.881 – Robust System Design Proposed Solution to the Final Exam This exam is composed of 4 essays followed by 20 short answer questions (24 questions total). The essays are each worth 10% and the short answers are each worth 3%. Therefore the essays comprise 40% of the credit and the short answers comprise the other 60%. You have 2 hours. Divide your time accordingly, perhaps 10 minutes per essay and three minutes per short answer leaving 20 minutes of buffer for review at the end. When asked for an estimate, any answer correct to within 10% earns you full credit. 1. (10%) In robust design, what is a “dynamic” system? What is “ideal function” in a “dynamic” system? Give an example of “ideal function” in a “dynamic” system from an engineering context. A dynamic system is a system in which the desired response is defined by a signal factor. Ideal function in a dynamic system is to provide a consistent response across the desired range of the signal factor. The response should be the same each time the product is used, under all intended operating conditions, and throughout the product’s intended life with no variation and with no harmful side effects. In an aircraft on final approach, the glide slope is set by the power and the airspeed is set by attitude. The ideal function of an aircraft in this context is to allow the pilot to consistently determine the glide slope with throttle setting. Unfortunately, an increase in headwind will cause the aircraft to fall below glide slope. Accurate control of glide slope is particularly critical in landing fixed wing aircraft on aircraft carriers. This is why aircraft carriers attempt to set a consistent apparent headwind for their pilots by varying the speed of the carrier itself. 1 of 10
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What are noise factors? What is a compound noise factor? Under what conditions would you recommend using a compound noise factor? Noise factors are that which cause a product to deviate from its ideal function. A compound noise factor is a virtual noise factor that determines the settings of several actual noise factors that affect the system being designed. The settings of the actual noise factors should be grouped so that they create the largest possible effect on the response. A compound noise factor should be used when the cost of experiments is high compared to the additional accuracy provided by other noise strategies. Compounding noise may be especially important when there are a large number of noise factors affecting the response of the system. The savings in experimental effort due to compounding noise factors rises exponentially with the number of noise factors to be considered in an experiment. 2 of 10
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RD_final9_soln - 16.881 Robust System Design Proposed...

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