The degree of freedom for blenders can be calculated using a formula, but the calculation process is actually quite complex and requires careful attention to detail. Even a minor mistake can lead to incorrect results, so there are many precautions to take. Additionally, this formula can also calculate the degree of freedom for an institution. When calculating the degree of freedom for an institution using the blender degree of freedom formula, pay attention to the following special cases:

1. Blender Composite Hinge

Three components consist of two rotating supports. Their structure can be regarded as having a pivot pin installed at each end of a component, while the other two components form a sleeve shape, fitting over the pivot pins on the other ends, creating two rotating supports. When the distance between the two rotating supports is reduced to zero, the two pivot pins merge into a single one, forming a small circle that represents a compliant hinge. This compound hinge can be considered to be based on one component, with the other components forming rotating supports with it. Therefore, when there are m components connected by hinges, although the kinematic diagram only shows a small circle, it should be considered as having m-1 rotating supports.

2. Local degrees of freedom for the blender

The concept of partial degrees of freedom in a mixer refers to the degrees of freedom certain components possess that do not affect the movement of other components. Two driving elements are required for the mechanism to have a defined motion. However, when a cam acts as the driving element and rotates, the driven element has a defined motion, indicating that the mechanism has one degree of freedom. The excess degrees of freedom calculated by the formula are the ones where the roller rotates freely relative to the driven element. Since this free rotation of the roller does not affect the movement of other components in the cam mechanism, it is referred to as a partial degree of freedom. Partial degrees of freedom are commonly found in variable sliding friction, such as adding rollers in the friction of surrounding parts, and ball bearings, where they should be excluded from the calculation of degrees of freedom.

As outlined in the above article, you should be able to calculate the degree of freedom of the mixer. Should you have any further questions, you can find specific answers within it.