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There are cases in which the cam is stationary and the follower traces the profile of the cam. This type of arrangement is classified as a stationary cam and moving follower.
When the rotary motion of the cam is converted into oscillatory motion, the configuration is known as a rotating cam and oscillatory follower.
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Usually, the active component is called the cam and the passive component is called the follower, but in the COMSOL® software, this feature is built in such a way that you can model both components as either active or passive.
Out of the four valve stiffness values, only 20 kN/m and 30 kN/m can enforce a continuous contact between the cam and follower. To choose the optimal value of valve stiffness, we can look at the required torque plot. It can be observed in this plot that the required torque is less for a value of 20 kN/m, hence this is the optimal value of the valve stiffness among the values considered in this analysis.
Note: The Cam-Follower feature also requires the Multibody Dynamics Module, an add-on to the Structural Mechanics Module.
The Equation and Sketch for the Cam-Follower feature in COMSOL Multiphysics with the add-on Structural Mechanics Module and Multibody Dynamics Module.
The Structural Mechanics Module contains advanced tools for mechanical analyses. See what other types of analysis are possible by clicking the button below.
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The cases in which the motion of the follower is a combination of different types of analytical expressions, such as uniform motion, parabolic motion, simple harmonic motion, cycloidal motion, or general polynomial motion. In these cases, the cam profile can be easily created using the Analytic Function feature with a combination of different motions for the full cam rotation. The analytic function allows a symbolic expression, so you can directly write it as a function of θ.
First, you need to create the interpolation function and enter the data for h vs. θ, also called the follower rise function. Thanks to the flexibility of the COMSOL® software, one can directly import the follower rise function. After importing the follower rise function, the cam surface can be generated using the parametric curve. For this, one needs to first determine the base circle radius and then express the radius that depends upon the follower rise function and base circle radius. The parametric form is similar to that of a circle; the only difference in this case is that the radius is a function of θ. To do this in COMSOL Multiphysics, one can use the interpolated function to create the follower rise function and further use them under the parametric curve to define the value of r (the radius of the cam surface). Usually, the data is a piecewise curve, so it is good practice to create different profile curves for each section of outstroke, upstroke, and dwell. Finally, you use the Convert to solid option to generate the cam profile.
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Put the inner bearing you finished cleaning back on the hub after turning your wheel over. Making sure the rubber side is facing inward, put the new grease seal in the hub. Use a thin piece of wood to tap the seal and make sure it’s flat against the surface of the hub. Add more grease over the lip of the grease seal when it’s in the right spot.
Apply grease over the castellated nut and place it over its tab, tightening the tab by hand. Then click it into place, making sure not to over-tighten it. Tighten the nut and place the cap over the wheel hub.
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You can see that the acceleration values are negative in the range of 60° to 120° of cam rotation. This is the region where the follower has a tendency to leave the contact with the cam profile, which depends on the valve spring stiffness value for a given camshaft RPM. By plotting the connection force vs. cam rotation, you can check which spring ensures continuous contact. The contact force sign convention is positive if the cam and follower are no longer in contact, while the negative value shows that the contact is still maintained.
If you’ve never greased your travel trailer wheel bearings before, begin by reading the service manual. It will tell you lots of good information, but most importantly, it will tell you how tight the torque on the wheels should be when you re-assemble things. Not having the right torque can cause your wheels to overheat, leading to excessive wear and possibly even causing them to fall off.
There’s a lot to think about when it comes to maintaining your RV, motorhome, or trailer! Because your RV or trailer is both a vehicle and a home (however temporary), you need to keep up with both the living area – your bedrooms, kitchen, bathrooms, and other spots, and you need to keep up with vehicle maintenance as well.
The follower velocity first increases when the follower comes in contact with the opening flank region of the cam profile. Later, it decreases and becomes zero at the tip of the nose region. Similarly, it increases in the reverse direction and becomes zero when the follower comes in contact with the heal region of the cam profile. In COMSOL Multiphysics, the joint’s velocity and acceleration sign convention is decided based on the specified axis of the joint. It will be positive if the destination attachment is moving along the positive direction of the axis of the joint. For this case, the joint axis is defined along the z-axis, so the velocity is positive when the follower is moving upward and vice versa.
Wrap your bearings in a clean towel and wipe off any grease. It helps to roll each bearing while cleaning them, and at the same time check the surface for wear and tear. You can even inspect each one with a magnifying glass. If your bearings show sign of wear, you’ll need to replace them. A trailer supply shop should be able to help you out – bring your old bearing with you so you can show them what you need.
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The Cam-Follower joint type, available with the Multibody Dynamics Module as of COMSOL Multiphysics® software version 5.3a, is used to model applications in which a point follows a surface. In other words, the contact is unique and occurs at a single point.
In order to get a smoother surface representation, it is useful to increase the shape function order for the displacement to Quadratic. This applies both when the cam is rigid and when it is flexible.
Using your chisel and hammer, tap the inner bearing and remove the grease seal. Carefully take off the inner bearings, the washer, and the outer bearings. Make sure to line everything up on a paper towel nearby. Clean the bearing so trapped dirt and dust don’t damage it.
Behind your wheel hub is a rubber cover that exposes a notched starwheel when it’s removed. Using a flathead screwdriver, turn the wheel in the starwheel grooves until there’s complete resistance, then rotate the wheel backward one notch at a time until there is free movement.
Scoop the grease in your hand and press it over the largest part of the bearing – the bear pack. You want plenty of grease inside the bear pack, so applying it by hand will be most effective. Rotate the wheel bearing a little to work the grease down in and to give you an idea how much more you might need. Continue applying grease and rotating the bearing until grease begins to ooze out of the different openings on the bearing and perhaps even covers the bearing.
For our example, let’s consider a spring-loaded valve-opening mechanism that has a rocker arm and a radial cam. In this mechanism, the cam rotation is prescribed and a spring is attached to the valve to restrict its motion.
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In this case, both the cam and follower exhibit translational motion. This means that the motion to the follower is due to the profile height of the cam.
Spin the wheel gently to loosen the outer bearing. Then, remove the hub and wheel from the axle and lay on a paper towel with the inner sides downward. You can also check for wear and tear on your axle spindle and brakes.
You can use a bearing packer at this point, to cut down on the mess. Also, as you work, make sure you don’t get grease on your brakes.
As the common contact point is not fixed with respect to the bodies (A) and (B), a constraint needs to be defined between the two bodies to maintain continuous contact.
If possible, use a fine mesh on a cam boundary to improve the accuracy of the mesh normal used in the Cam-Follower connection node.
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In order to ensure that the point on the follower always follows the specified cam surface, an offset from the cam boundary is defined such that the gap distance is always zero. The implementation of these constraints follows this procedure:
Greasing your travel trailer wheel bearings may not be your idea of a fun way to spend a weekend. However, the savings over having it done by a mechanic, and the fact that it will get easier each time you do it definitely make it a worthwhile task to try yourself!
In COMSOL Multiphysics, the constraint is defined on the vector d such that its magnitude in the normal direction of the closest point on the cam surface is equal to the offset value.
With a larger travel trailer, you should grease your trailer wheel bearings every 10,000 miles or once a year, whichever comes first.
One problem with cam design is to determine the cam profile suitable to generate the desired motion of follower. In COMSOL Multiphysics, one can easily create a geometry based on the follower rise function. The follower rise function is defined as the displacement of the follower with change in the cam rotation. The first step is to derive the radius as a function of the follower rise function. This relationship can be established using the analytical approach if the follower rise function is preknown. The analytical approach is quite simpler than the graphical approach of creating the cam surface, because the follower rise function is usually a combination of different elementary functions. Also, in a few cases, the desired output motion of follower is already known so it became simple to generate a cam profile from the known follower rise function.
Use wheel chocks to lock the tires opposite where you’re working, and then safely place your trailer jack under your trailer and lift. Continue lifting until the wheel you want to work on is off the ground. Then, arrange all your necessary tools and cleaning materials near the wheel you’re working on so you have them close at hand.
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Variation of the cam-follower connection force with cam rotation (left) and torque required to rotate the cam shaft (right) for different values of the valve spring stiffness.
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With the default settings, the cam and follower will always remain in contact, which means that no chattering is allowed. To model intermittent contact, the Activation Conditions feature under the Cam-Follower joint type can be used. In addition, the cam and follower can both be modeled as rigid or flexible components.
The bearings attract a lot of debris from the road, including dirt and dust, and can contaminate the bearings and if you don’t keep them clean and properly lubricated, they can leak and deteriorate.
Now, if the follower rise function is known, the variation of the radius (r) will represent a circle for each value of θ. So, it will give a family of curves. In order to generate the cam profile, we need to plot the envelope of the curves. This can be easily done in COMSOL Multiphysics using the Parametric Curve option.
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Here, the position of point (c) is computed using the center of rotation of the rigid body and it also serves as the origin for the body-fixed coordinate system.
As part of maintaining your trailer, you’re going to need to keep your travel trailer wheel bearings in good shape, so regular greasing of the wheel bearings is important.
With the hammer and chisel, remove the dust cap from the wheel hub. Pull the wheel hub so the castellated nut is exposed and remove the tab that holds the nut in place. Unscrew the nut.
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There are many ways to transform one type of motion into another. The variety of the cam-follower mechanism is limited only by your own imagination. For example, you can use a combination of the above configurations to generate a combined effect. A few common examples are barrel cams and end cams, which are used to convert rotary motion into translational and oscillatory motion.
Let’s take a simple example to illustrate this concept. Consider a simple knife edge radial follower with a known follower rise and a cam angle rotation. The rise function is such that there is outstroke during 60° of cam rotation, dwell for the next 30° of cam rotation, return stroke during the next 60° of cam rotation, and dwell for the remaining 210° of cam rotation.
One of the main objectives behind mounting the spring on the valve is to force the follower to follow the cam profile and to avoid intermittent contacts between the cam and follower. Hence, the optimal value of the valve spring stiffness should enforce the contact between the cam and follower at all times, while simultaneously requiring the least torque to rotate the cam shaft.
If you have a smaller travel trailer, however, you’ll need to grease your wheel bearings every 2,000 miles. This is because the wheels are smaller and spin faster. The faster they spin, the more stress they cause the bearings and the more often they need to be checked.
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From the above image, it is clear that the radius (r) and follower height (h) are functions of the angle of rotation and the follower rise function is simply a difference of cam profile from the base circle. The relation between them is defined as follows:
Put your hub back on the axle spindle, making sure you replace each part in the opposite order of how you removed them. This is when the pictures you took will come in handy!
Cam-follower mechanisms are categorized based on the input and output motion of their configurations. The different types of cam-follower mechanisms are described below.
While it is possible to put too much grease in a trailer wheel bearing and over grease it, the bigger danger is putting too little. You’ll want to scoop grease by hand, instead of having it applied with a machine. This allows you to control the amount you need and to more easily apply it where you want it.
You’ll want a pair of gloves at this point. Grab your grease gun and apply grease into the hub, especially concentrating on areas close to the rollers.
A plot of the follower rise as a function of the cam rotation, after performing a simulation with the generated cam profile.
To understand the formulation, let’s take a look at an example of a cam and roller configuration in which both the cam and roller have been modeled as rigid components. For a rigid body, a point on the body can be located from the origin of a body-fixed (local) coordinate system (X, Y) by \vec{s}. Since the point is fixed to the body, the elements of the vector are constant in the body-fixed coordinate system, while in the global coordinate system, they vary with the rotation. The transformation from a local to global orientation is represented in terms of the rotation matrices.
You can have a mechanic grease the travel trailer wheel bearings every time you need it. However, they charge per axle, and depending on how often and how far you travel, it could be a lot cheaper to do the task at home. You’ll need a few tools for the job, but once you have purchased them, the cost each time you do the task is minimal. You’ll need:
Your travel trailer wheel bearings support the weight of your trailer as you travel and ensure that the wheels of the trailer spin properly as it’s towed.
When working with multibody systems, you may need to model a mechanism that transfers motion from one component to another. The mechanism used to implement this behavior, known as a cam-follower mechanism, plays an important role in many applications, including internal combustion engines, printing control mechanisms, textile weaving machines, and valves. You can easily model this type of mechanism with the Cam-Follower feature in the COMSOL® software. Let’s take a look at this feature in detail.
When a follower moves along a guide while a cam rotates, the motion is categorized as a rotating cam and translating follower. This is further categorized based on the motion of the follower. If the motion is along the axis passing through the center of rotation of the cam, then it is called a radial inline follower, whereas if the motion is along an offset from the axis, it is called a radial offset follower.
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