Winding Assembly
The weights and winding subsystem is the power source and determines the winding period for the clock. There are many preexisting designs that could meet the functional requirements. We design a gravity powered system using large weights that is able to be rewound using a custom ratchet and pawl mechanism. Those two design components are brought together using a winding barrel, transmission shaft, and a key way shaft. The following sections will outline the design decisions we made, our manufacturing processes, and outcomes.
Produce torque needed to restore, no overpower, the pendulum moment
Have a unwinding period of >2 hours
Needs room to drop min 15.7in
Can not interfere with other mechanical components when unwinding
Rewinding method
Power source (gravity, spring, etc.)
Transmission to gear train
Grandfather clocks have been made for 100s of years. The internet had many resources for varying designs and manufacturing processes. Fine Woodworking magazine writes that the ratchel+pawl winding method allows weights to unwind, engage the ratchet, and turning the gear that connects to the rest of the gear train. While the exact dimensions of the ratchet pawl may change, it is the base method to winding. Other research showed that grandmother and grandfather clocks are powered by weights. Since we are trying to make our own version of a grandfather clock we decided to continue with this method.
Basic ratchet and pawl sketch
Winding barrel and double weights simple sketch
Sketch of integration between weights, winding barrel, and winding method
Our researched suggested that we should not determine the weights until the other clock components are manufactured and assembled. This is due to the unknown efficiency of the gear train and escapement. Nevertheless we decided to predict the appropriate weights. This allowed us to manufacture the weights during the rest of our manufacturing process. This eased our timeline and pushed back our assembly timeline by a few days. The following calculations were used to estimate the weights in a perfect system.
The calculations were done using a MATLAB live script. This is shown below:
Calculate Restoring Force and Set Variables
The Restoring Force = 2.18 N
Calculate Impulse Force, Torque on Escapement Wheel, and the Torque on the Winding Barrel
Impulse Force = 0.182 N
Torque on Winding Barrel = 0.833 Nm
Using the Torque on the Winding Barrel Determine the Weights
Weight = 6.56 lb
Using the Torque on the Winding Barrel Determine The Force on a Pawl
Force on Pawl = 21.88 N
Once the weight needed was determined, we looked into material choices. The 13.12 lb requirements (6.56 lb each) and the space available for the weights were the main factors at play. The weights needed to drop at least 15.7in due to the winding barrel radius to reach a two hour winding period. The weights would be initially wound to 28in off the ground. This means the weights could have a max length of 12.3in each. To have extra time to drop, we wanted the weights to have a max height of 7in. Additionally the weights had a maximum cross-sectional area. There was a 4in x 2in drop area on each side of the clock. The goal cross-sectional area was 3in x 1.5in to allow for maximum clearance. Using these specifications we needed a material with a minimum density of 6350 kg/m^3. We decided to use stainless steel as stock was available to us for free and it had an density of 7860 kg/m^3. The weights were then machined to sized, taped to attach to eye-bolts, and then tied to the cord. Paracord was the cord of choice as it was rated for holding up to 100lb which is a factor of safety over 7.
After initial testing the 13.12lbs was not enough to drive the clock. We added 1.2lb weight increased until the clock ran. The final weight is 22.4lb. This is split up between two 10lb weights and 4 0.6lb weights. The combined weights apply the needed torque to power the clock. This additional weight overcomes the power loss between the driving gear and the escapement wheel.
The gear on the winding shaft would be a 30 tooth gear with a 3 in pitch diameter. Using solid works drawings and hand sketches the following ratchet and pawl design was made. It pulls design features from commonly occurring ratchet + pawl mechanism. The gear would be printed with ABS to a thickness of 1/4in which was determined during gear train design. Using that standard through our project for material thickness I had to determine if ABS would be strong enough for the pawls.
To move forward into the manufacturing process it was necessary to show that the pawls would perform under high torques. I needed to know that the pawl would 1) not deform, 2) not fracture, 3) and have a factor of safety above 2. Finite element analysis was conducted under the conditions calculated by the weights. The results are below. With only one pawl taking on the torques, it will not fracture, deformation will be minimal, and it has a minimum factor of safety of 4.5. The deformation needed to be within 0.1 mm and the FEA assumes a deformation of only 0.0162 mm. The FEA supports the ratchet+pawl design. For additional security two pawls will be engaged at all times.
Stress
Deformation
Strain
Factor of Safety
With the ratchet and pawl sizing determined the parts were manufactured. A pen spring is used the pull the pawl down onto the ratchet. The spring was heated up and inserted into the ABS components post 3D Printing. The force needed is so minimal no additional analysis was needed.
Pawl, Ratchet, and Gear CAD
Pawl Springs
Pawl + Spring
The winding barrel is used to wind the cord that the weights are attached to. It must be able to withstand 0.833 Nm of Torque at a minimum. It also should have a factor of safety of 10 so that if additional weight is added later it will not fail. Originally the winding barrel was going to be made out of aluminum. Due to stock availability we wanted to consider using Delrin which is a softer more malleable material. Since the winding barrel will be secured with a key to the keyed shaft it is critical that it does not deform and slip on the shaft. Finite element analysis was conducted under the conditions calculated by the weights. The results are below. The factor of safety is 5.5 x 10^2 which is far exceeds our factor of safety requirement. As seen below the winding barrel made out of Delrin should work. The barrel was manufactured using a manual lathe.
Deformation
Factor of Safety
Stress
Strain
In addition to the weights, winding barrel, and ratchet/pawl mechanism other components were bought or designed and manufactured. These parts did not undergo in depth analysis . As engineers we determined that they were not likely to fail and follow good mechanical design practices. The main shaft is a steel key-wayed shaft. Grooves were machined to hold retaining rings which secured components from moving along the shaft. The key in the key-way secured the components from rotating independently of the shaft. The shaft is supported by one ball bearing on either end. Shaft collars separate the winding barrel from the ratchet as retaining rings could not be placed. On the end a winding key was designed. This winding key is 3d printed out of ABS. It uses a key with the key way to turn the ratchet wheel to rewind the weights after they fall. This full assembly is pictured below.
The weights and winding subsystem is the power source of the clock. It is not in charge of regulating the distribution of the power only providing it when engaged. Through understanding its iterations with other subsystems we were able to determine the functional requirements. Component were designed with appropriate analysis and literature based understanding. Finite element analysis was conducted under the conditions calculated by the weights. The results are below. EA models and mathematical models validated design choices prior to manufacturing. Once manufactured, all of the components functioned correctly. The weight estimated was not enough to power the clock and a large torque is needed. This makes sense as we did not know the inefficiencies of the other subsystems and machined the weights ourselves. When additional weight is applied the the weights unwind powering the gear train and regulated by the escapement.