Each material used in the design of a linear translation stage has its own unique set of advantages and disadvantages. The following is a summary of the properties for the most common materials used in motion mechanics.
Parameter |
Steel |
Aluminum |
Brass |
Granite |
Young's modulus (stiffness), E (Mpsi) |
28 |
10.5 |
14 |
7 |
Density, ρ(lb/in3) |
0.277 |
0.097 |
0.307 |
0.1 |
Specific Stiffness, E/ρ |
101 |
108 |
45.6 |
70 |
Thermal Expansion, α(µin/in/°F) |
5.6 |
12.4 |
11.4 |
4 |
Thermal Conduction, c (BTU/hr-ft-°F) |
15.6 |
104 |
67 |
2 |
Relative Thermal Distortion, α/c |
0.36 |
0.12 |
0.17 |
2 |
Features: Aluminum is a lightweight material, resistant to cold flow or creep, with good stiffness-to-weight ratio. It has a relatively high coefficient of thermal expansion, but it also has a high thermal conductivity, making it a good choice in applications where there will be thermal gradients or where rapid adjustment to temperature changes is required. Aluminum is fast-machining, cost-effective, and widely used in stage structures. Aluminum does not rust, and corrosion is generally not a problem in a typical user's environment, even when the surface is unprotected. It has an excellent finish when anodized.
Limitations: Anodized surfaces are highly porous, making them unsuitable for use in high vacuum.
Coatings: Anodized aluminum provides excellent corrosion resistance and a good finish. Black is the color most often used. Anodizing hardens the surface, improving scratch and wear resistance. Aluminum may also be painted, with excellent results.
Features: Steel has a high modulus of elasticity, giving it very good stiffness (nearly three times that of aluminum) and good material stability. It also has about half the thermal expansion of aluminum, making it an excellent choice for stability in typical user environments where there are uniform changes in temperature. Stainless Steel is well suited to high vacuum applications.
Limitations: Machining of steel is much slower than aluminum, making steel components considerably more expensive. Corrosion of steel is a serious problem, but stainless steel alloys minimize the corrosion problems of other steels.
Coatings: Steel parts are generally plated or painted. Platings are often chrome, nickel, rhodium, or cadmium. A black oxide finish is often used on screws and mounting hardware to prevent rust. Stainless steel alloys avoid the rust problems of other steels. They are very clean materials that do not require special surface protection. A glass-bead blasted surface will have a dull finish so that it does not specularly reflect.
Features: Brass is a heavy material, denser than steel, and fast machining. The main use of brass is for wear reduction; it is often used as a dissimilar metal to avoid self-welding effects with steel or stainless steel lead-screws or shafts. Brass is used in some high precision applications requiring high resistance to creep and can be diamond turned for extremely smooth surfaces.
Limitations: Compared to aluminum and steel, brass has a less desirable stiffness-to-weight ratio. Moreover, although the thermal expansion of brass is similar to that of aluminum, its thermal conductivity is nearly a factor of two worse.
Coatings: For optical use, brass is usually dyed black. In other cases, it may be plated with chrome or nickel for surface durability.
Stiffness is a measure of the amount of force required to cause a given amount of deflection. Force and deflection are proportional and related by the equation:
Δx = (1/E) * xF/A
where F and Δx are force and deflection, respectively, x is the nominal length, and A is the surface area perpendicular to the force. E is a material-dependent constant called the modulus of elasticity, Young's modulus, or simply the stiffness of a material. Larger values of E mean greater material stiffness.
Thermal expansion is the change in size or shape of an object, such as a stage, due to a change (increase or decrease) in temperature. The amount of change is dependent on the size of the component, the degree of temperature change, and the material used. The equation relating dimensional change to temperature change is:
ΔL = αLΔT
where α is the material-dependent coefficient of thermal expansion.
Some materials, such as aluminum, are good choices when temperature change across the component is non-uniform. This occurs when mounting a heat source, such as a laser diode. Because the diode is hotter than the surrounding environment, it dissipates heat through the mount, setting up a temperature gradient along the stage. If the material does not readily dissipate the heat, then distortions caused by thermal gradients can become significant.
The distortion caused by non-uniform temperature changes is proportional to the coefficient of thermal expansion, α, divided by the coefficient of thermal conductivity, c. Relative thermal distortion = α/c.
If the ambient operating temperature of the component is much different from the room temperature, then close attention should be paid to components made with more than one material. In a linear stage, for example, if the stage is aluminum while the bearings are stainless steel, the aluminum and steel will expand at different rates if the temperature changes, and the stage's bearings may lose preload or the stage may warp due to stresses built up at the aluminum–steel interface.
Material Instability is the change of physical dimension with time (also called cold flow or creep). For aluminum, brass and stainless steel, the period of time required to see this creep may be on the order of months or years.
The load and trajectory performance of a translation or rotation stage is primarily determined by the type of bearing or flexure used. Bearings permit smooth low-friction rotary or linear movement between two surfaces. Bearings employ either a sliding (dovetail) or rolling action (ball or crossed-roller). In both cases, the bearing surfaces must be separated by a film of oil or other lubricant for proper performance. Flexures, however, provide a means of translation that requires no lubrication and is virtually free of the stiction normally associated with bearings. This type of mechanism, when used in a translation stage, limits linear travel range to just a few millimeters.
Dovetail Slides are the simplest types of linear stages and are primarily used for manual positioning. They consist of two flat surfaces sliding against each other with the geometry shown below. Dovetail slides can provide long travel, and have relatively high stiffness and load capacity. They are more resistant to shock than other types of bearings and are fairly immune to contamination. However, they do have relatively high stiction, and their friction varies with translation speed, which makes precise control difficult and limits sensitivity.