Garage Door Design Analysis Daniel Meyer Nadeem Ansari Yishan Zhao Justin Bridges

Garage Door Design Analysis Presentation Outline Problem Statement Design Aspect (Analysis, Optimization Methods). Design Aspect (Simulations, Results) Conclusions

Garage Door Design Analysis Problem Statement 1) Determine the physical parameters of the door panels. 2) Investigate the motor and make recommendations on the selection based on power required, power output, noise, speed, cost, life cycles. 3) Investigate the design of the roller chain assembly and make recommendations on the selection based on power required, power output, noise, speed, cost, life cycles. Figure 1: Basic 4 panel garage door Figure 2: Motor and chain assembly

Figure 3: Motion of the Garage Door at 3 stages Garage Door Design Analysis Design Aspect (Analysis, Optimization Methods). Physical parameters of the garage door 8 feet wide & 7 feet high Overall door weight 110 pounds 4 panels= each 21 inches in height Overall weight of each panel=27.5 pounds Torsion spring= 302 Stainless Wire A313 Assumptions for analysis No friction between the wheels and the track Weight acts from the center of the panel Roller bearings have no friction Velocity of the door is constant as it travels up Force applied to connecting arm Figure 3: Motion of the Garage Door at 3 stages

Garage Door Design Analysis Design Aspect (Analysis, Optimization Methods): FBD of the Door

Garage Door Design Analysis Design Aspect (Analysis, Optimization Methods): Relationship of panel to track curve: Radius of the curve is smaller than the length of a single panel--allows only a single roller to be in the curve at a time. One roller means there will be a maximum of two panels in the curve. Setting the arc length to 23.349 inches allows a single roller to complete the entire arc while the panel is at a 45 degree angle Arc length=23.349 inches Figure 8: Relationship of panel to track

Figure 11: Angle relations of panels Garage Door Design Analysis Design Aspect (Analysis, Optimization Methods): One roller means there will be a maximum of two panels in the curve. The overall weight of two panels is decreasing at different rates inside the curve. When the second panel enters the curve, the 45 degree angle where the first panel is located will increase proportionally. (example if panel (2) is at 5 degrees, panel (1) is a 50 degrees. To visualize this the displacement angles are taken from the center of the arc to the center of the panels These angles are equal to the vertical displacement the panel undergoes as it moves throughout the curve (β = Φ) Figure 11: Angle relations of panels in succession

Garage Door Design Analysis Design Aspect (Torsional Spring): The torsion spring supported by spring coils, stationary cone and a winding cone spring is mounted on a stationary metal shaft located above and parallel to the top of the garage door frame. The spring extend along the shaft, and work by twisting as the garage door closes by means of cables attached to each side of the lowest garage door panel. Metal shaft supported by roller bearing which allows the shaft to spin smoothly Spring force=3.8 lbf/in Max force acting on bearings=46.4 pounds Bearing selected: 1’’ bore, 2’’ outer diameter and support a load up to 400 lbs

Garage Door Design Analysis Design Aspect (Trolley Arm): Convert to a 2-force link Length – 20.615 in Trolley Force Exerted on Door The maximum force required by the motor will occur at one of two points: When the door is completely closed. When the door is fully open. This force is a function of the angle maintained by the trolley arm

Garage Door Design Analysis Design Aspect (Force to Raise Door):

Garage Door Design Analysis Design Aspect (Force to Raise Door):

Garage Door Design Analysis Design Aspect (Force to Raise Door):

Garage Door Design Analysis Design Aspect (Chain Selection):

Garage Door Design Analysis Design Aspect (Chain Rail): Number of Teeth (Driving) – 7 Number of Teeth (Driven) – 9 Sprocket Speed – 150 rev/min Pitch – 0.5 in Angle of Articulation – 25.71 Center-to-center distance – 98 in Length of Chain – 200 pitches Max Chain Tension – 35.18 lbf Max Horsepower required – 0.0466 hp Chain Velocity – 43.75 ft/min

Garage Door Design Analysis Design Aspect (Simulations, Results): Motor Selected 1/3 hp – motor Cost – $ 250 Life cycles - 5 years Noise – less noise than ½ hp motor

Garage Door Design Analysis Conclusions: Summary of Design Aspect Based on the parameters of the garage door, an affordable 1/3 hp motor can be selected. Due to low tooth number for the sprockets, the chain will be quieter throughout the motor process because the chain has less contact with the sprocket. Extra info Recommendation of the solutions