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Dual Gear Leverage System Design Analysis

This project involves designing a dual gear leverage system to achieve a specific displacement. It includes modeling, analysis, and choosing appropriate materials with a safety factor evaluation.

jason-forbes
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Dual Gear Leverage System Design Analysis

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  1. EGR 345 Analysis ProjectSystem #5 Lee C. Groeneweg Grand Valley State University Padnos School of Engineering Professor: Dr. Hugh Jack December 10th, 1998

  2. Introduction A dual gear leverage system with an applied torque to the right side gear resulting in vertical displacement of the moment arm.

  3. Two gear leverage support system

  4. Design Objective Find a length of R1 for the left side moment arm so that the maximum displacement of X2 approaches a length of R2, 0.4 meters.

  5. Free Body Diagrams Left side FBD Right side FBD

  6. Modeling and Analysis • Draw Free Body Diagrams. • Develop Differential Equations. • Relate the two equations to each other using contact force relationship. • Develop gear relationships. • Solve for output variable, R2, using Runge-Kutta technique in Mathcad.

  7. Design • Observe X2 displacement by varying torque applied. • Observe trend of X2 velocity. • Choose Design material. (stainless steel, alloy 405 - 1 inch square bar ) • Determine Factor of Safety.

  8. Summary • System’s response modeled as differential equation. • Design Value of R2, 0.6 meters obtained. • Design Material chosen. (stainless steel, alloy 405 - 1 inch square bar ) • Factor of Safety acceptable. Additional note: • Torque minimum of 39.235 Nm for positive displacement.

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