Team 6
Edward Lin, Niko Aquino, Steven Meissner, Clifford Miranda
Objective
Dog paraplegia, caused by serious spinal and hindquarter injury or disease, occurs with greater frequency than one might think. For example, the prevalence of Intervertebral Disk Disease (IVDD) is as high as 19% in some breeds. Loss of ambulation is often compounded by full or partial loss of bladder and bowel control. If the dog needs to relieve itself, it cannot move on its own to do so. If the dog has an accident, it will soil the bed, itself, and the family home. Thus, these “down dogs” require extra caretaking. Some owners opt for euthanasia due to the misconception that the dog will be miserable, or because they lack the support and resources to care for the animal. “Dog carts” are available, and allow pups to move on their own. However, placing the dog into current cart models is inconvenient, and the carts can only be used for brief spells. Dogs cannot sit, lie, or rest comfortably once put in the cart.The objective of this project is to design, build, test, and document a mobility device for down dogs. The device should be usable for extended periods of time by recovering the dog’s ability to alternatively stand/rise, move, and lie down on its own.
Design Solution
In order to address the functional requirements of the cart, the design created was a foldable cart with assisstive springs In order to allow the cart to fold and bend, a pivot point was used to translate Bodie’s horizontal motion into a vertical motion. The spring system was used to assist Bodie’s lack of control in the rear half of his body. Finally, to make the cart durable and easily cleanable, the design was to utilize an aluminum frame made from flat 6061 aluminum bars.
Justification of Final Design Choice
The rear half design in Figure 3.1 above was chosen for being compact and out of the way of Bodie’s front legs. The design was adapted based on Bodie’s weight and the needs of the spring system, described later in chapter 3. With the forces the wheelchair is expected to undergo, aluminum 6061 was chosen for the material of the frame, according to the analysis in Figures 3.2-3.4. Comparison of aluminum with other potential cart materials is found in appendix A: Individual Component Report: Frame System.
The legs of the frame are made from 6061 aluminum with a thickness of 1.905 cm (3/4”). This serves well as an appropriate thickness for sustaining the stress the part is expected to see, as well as having the same dimensions as the brake component. Because the rubber stopper fits on an aluminum piece of the same size, the stock material can be bought and cut from the same sheet, making it less expensive for shipping costs and minimize waste. The 6061 aluminum material was chosen because it is inexpensive, easy to obtain and machine, and for its corrosion resistance. With these dimensions and material properties, simulations were run to determine the maximum stresses the piece is likely to undergo. Figures 3.2-3.4 show the leg-bar with L-extension under expected forces in sitting, standing, and intermediate positions. Through all simulations, the stress remained at or below 24 MPa, maintaining a factor of safety of 2 below the yield strength of 55 MPa. This stress is too high for the piece to be welded together from two bars of 3/16”x 3/4” Al 6061, but it can be cut from a plate of stock aluminum of the same 3/16” thickness.
1. Frame Stress:
Overview
The frame is used as a base from which all the other device components are attached to.
Functional Requirements
Support a portion of Bodie’s weight 222.41 N (50 lb)
Able to mount other device components
Lightweight in order to avoid added stress on Bodie
Made of non-corrosive materials
Collapsible to allow sitting position
Comparison of Designs Considered
Frame mounted on rear half of body and collapsible similar to normal motion (Selected)
Frame mounted behind body and act as a trailer providing vertical force to body
Frame mounted along front half of body and act as lever for rear lifting
2. Brake Dimensions:
Overview
The wheel-brake system allows the device to engage in two directions: a backward sitting direction and a forward standing direction. When engaged in the backward direction, the device is able to collapse, allowing Bodie to lay down while the cart is still attached. Triggered by a forward dragging motion, the cart will be able to return to a standing position.
Functional Requirements
The following are the functional requirements of the wheel-brake system:
Allows cart to pivot and collapse when moving backwards going from standing to sitting position
Allows cart to pivot and open when moving forwards going from sitting to standing position
Comparison of Designs Considered
Pivot system (shape of rubber stopper)
Use a cylindrical shaped rubber stopper (linear surface contact with floor)
Use a rectangular box shaped stopper (rectangular surface contact with floor)
Large radius arched (constant rectangular surface contact with floor)
Wheel-brake system
Wheel utilizes bike hub motion to prevent movement in backwards direction
Justification of Final Design Choice
The wheel-brake design is sufficient to allow Bodie to stand and sit. Refer to Appendix B for analysis on brake coefficient of friction. Analysis of rubber on a variety of surfaces show that the brake has sufficient friction to prevent the cart from backwards motion but rather use it as a trigger to engage the folding mechanism pivoting the leg bars with respect to the side bars causing the cart to fold into the sitting configuration. The necessary dimensions and angles were derived by the analysis below, by using the cart dimensions to optimise brake engaging angles.
Functional Requirements
The following are the functional requirements of the spring system:
From standing to sitting position, spring must be able to provide a maximum vertical force of 45 N (10 lb)
From sitting to the laying down position, spring must be able to provide between 0-22 N (5-10 lb) of vertical force at Bodie’s hind end
Comparison of Designs Considered
Attach linear extension spring from leg of cart to an extension off the rear part of the frame
Use Isoelastic structure to provide a constant vertical force
Use torsional spring about joint
Justification of Final Design Choice
3. Spring Force:
W = Weight of Bodie’s rear ≅ 44.48 N (10 lb)
d = Leg bar length = 20.32 cm (8 in)
d2 = Rigid link attached to pivoting leg bar (L-Extension)
P = Coordinates of spring anchor with respect to the origin
θ = Angle between L-extension & x - plane
Φ = Angle between L-extension & leg bar
r = Position vector of leg bar where reaction force from weight W is applied
r1 = d (-isin (Φ+θ),-jcos(Φ+θ))
f1 = Force vector on pivot leg bar at center of wheel
f1 = W(0i,1j)
→ f1 = (0i,Wj)
r2 = Position vector of L-extension where spring force is applied
r2 = d2 (-isin(θ),-jcos(θ))
f2 = Force vector provided by spring
f2 = fs ᐧ f'2
where f'2 = unit vector for the spring force vector
→ f'2 = (xp - xr2) + (yp - yr2)(xp - xr2)2 + (yp - yr2)2
Ls = Spring length
Ls = (xp - xr2)2+(yp - yr2)2
Use moment equations:
r1 ⨉ f1 + fs ᐧ (r2 ⨉ f2) = 0
→ fs = -r1 ⨉ f1r2 ⨉ f '2
By changing the parameters for the initial angle of the L-extension, there is a change directly correlated to the spring force required to keep Bodie’s rear supported. Since the spring needs to apply little to no force in the sitting to lying down region, the curve can be manipulated to make the given spring profile weaker than it is required to be. From Figure 3.9, which shows a 110° initial angle, at a spring length of 18.733 cm (7.375’’) - a sitting angle of 45 degrees - the spring force required to lift Bodie is 97.861 N (22 lb). From Figure 3.13, which shows a 150°initial angle, at a spring length of 19.685 cm (7.75’’) - a sitting angle of 45 degrees - the spring force required to lift Bodie is 111.206 N (25 lb). This indicates that a larger angle will not provide as much force in Bodie’s sitting position because there is less of a moment arm working on the system.
The following observations were made regarding the performance of the test cart:
Initial Prototype and Testing:
Combined spring and brake prototype
Assumptions:
Cart is completely attached to Bodie
Bodie starts standing from a sitting position
Bodie walks backward to engage the sitting motion
The cart allowed for perfectly sturdy normal usage
The cart allowed for a simple bathroom relief system with hooks for disposable bags
The cart was able to perform under high velocities and stress with great stability
Bodie was able to go from standing to sitting in the cart as the brake engaged
Bodie was able to remain in seated position without much force required
Bodie was able to return to a standing position assisted by the spring and brake
Bodie was unable to transition to a lying down position comfortably
Bodie was unable to comfortably remain lying down on the floor when made to
Final Product and Results:
User Training
Bodie had to be
taught how to comfortably use the new cart. By the end of training, he could respond to four commands for testing criteria: sit, lie down, up (lying to sitting), and come (sitting to standing).
Results
The following observations were made regarding the performance of the cart:
Cart:
Allowed for sturdy normal usage
Allowed for a simple bathroom relief system with hooks for disposable bags
Able to perform under high velocities and stress with great stability
Spring is able to perform and not put too much stress on Bodie
Bodie
Able to go from standing to sitting in the cart as the brake engaged
Able to remain in seated position without much force required
Able to return to a standing position assisted by the spring and brake
Able to transition to a lying down position comfortably
Able to comfortably remain lying down on the floor