Linking is the basic mechanical function performed by any organ which connects different parts of a technical object.
Usually, a technical object is made up of several parts. These parts need to be held together to perform their function. They can be connected through simple contact, but generally an intermediate part, called a linking component, is required to do so. These components (screws, nails, rivets, glue, etc.) ensure that the two parts are connected to each other.
There are many ways to link parts together in a technical object. However, despite the variety of possible links, a link is still described using four characteristics. These characteristics are based on the four pairs of characteristics existing. Thus, a link can be direct or indirect, removable or permanent, rigid or flexible, complete or partial.
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Direct link: There is no linking component between the parts to be assembled. These parts have complementary shapes that provide a direct connection. The parts hold together on their own.
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Indirect link: The parts need a linking component to hold together. One or more linking components (screw, nail, glue, pin, etc.) are required in an indirect link.
Direct link
Indirect link
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Rigid link: This type of link does not allow any deformation of assembled parts. The linking component is rigid and it does not allow any change in the position of the parts that it connects.
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Flexible link: A link is flexible when there is a flexible linking component or an elastic material which ensures a return motion (return to the initial position) of the components in the operation of the object. Springs are often present in this type of link.
Rigid link

Flexible link

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Removable link: This type of link allows the parts to be separated several times without damaging the surfaces of the parts or the linking component. This type of link is mainly used for maintenance or replacement of parts. Screws and nuts are often found in this type of link.
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Permanent link: The parts cannot be separated without damaging the linking component or the surfaces of the parts. This type of link is irreversible.
Removable link
Permanent link
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Complete (or total) link: When no motion is possible between connected parts, the link is complete. In this connection, there is no degree of freedom since no motion is possible.
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Partial link: A link is partial when motion between the parts is possible. These links are classified according to the number and nature of the relative motions. The parts of a partial link can move relative to each other.
Complete link
Partial link
We can therefore describe a link by determining the four characteristics that qualify it. Some examples are shown in the following table.
Link analyzed |
Illustration |
Characteristics |
Link between the two pieces of a hinge which is possible by means of a hinge |
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Link between a tire and a wheel |
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There are several types of links, depending on the motions that the linked parts might undergo. In all these types of links, excluding the rigid link, one of the parts is driven by the other. The type of link is thus determined by the possible motions of the driven part.
Link type |
Example |
Advantage |
Disadvantage |
Embedded link |
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No degree of freedom between the parts (complete link). |
May cause deformation of parts. |
Pivot link |
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Simple to design. |
High friction (may require lubrication). |
Sliding link |
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Provides guidance in rectilinear translation (only one degree of freedom). |
High friction (may require lubrication). |
Sliding pivot link |
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Provides guidance in rectilinear translation and rotation on the same axis (two degrees of freedom). |
May limit range of motion. |
Helical link |
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Ensures a horizontal displacement of a part while turning another part (two degrees of freedom on the same axis). |
Limits motion on a single axis. |
Ball-and-socket link |
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Provides rotational guidance in the three axes (three degrees of freedom). |
Causes high friction (may require lubrication). |
Planar link |
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Ensure motions parallel to the plane (three degrees of freedom). |
Limit motions to one dimension. |
Degrees of freedom are the six possible independent motions between parts in a technical object.
In a technical object, the link function can allow or prevent certain motions between the parts. If an object is completely free, in other words, it is not linked to any other component, it is considered as being able to move in space in translation and in rotation along the three axes of the Cartesian plane (|x|, |y|, and |z|). This freedom of motion corresponds to 6 degrees of freedom that enable 12 possible motions.

Degrees of freedom |
Related motions |
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