Number of degrees of freedom of a double toggle mechanism for punching

In summary, the conversation discusses the use of a mechanism for crushing rocks or punching holes. When applying the Kutzbach criterion to determine the degrees of freedom, it results in a value of 2. The question arises whether this is due to a failure of the criterion to consider the geometry of the mechanism or if there was a mistake made. The Kutzbach criterion equation is provided, where n represents the number of links, j_1 represents the number of lower pair joints, and j_2 represents the number of higher pair joints. It is noted that realistically, the degrees of freedom should be 1 since there is only one input - the shaft torque to rotate link 1. The person is seeking help to resolve this issue.
  • #1
marellasunny
255
3
4691-004-8251A3C7.jpg

This is a mechanism used for crushing rocks/punching holes(when horizontal). When I use the Kutzbach criterion to find the number of degrees of freedom,I get 2. Is this because of the failure of Kutzbach criterion to recognize the geometry of the mechanism or did I go wrong somewhere?

Kutzbach criterion:
$$d.o.f=3(n-1)-2 j_1-j_2$$
where n-number of links(=5 in this case)
j_1- number of lower pair joints(=5 in this case)
j_2-number of higher pair joints(=0 in this case)

P.S: The d.o.f is obviously 1 realistically speaking as there is just 1 input given i.e the shaft torque to rotate link1.
 
Engineering news on Phys.org
  • #2
Im actually having the same problem. Any help would be appreciated.
 

1. What is the definition of degrees of freedom in a double toggle mechanism for punching?

Degrees of freedom refer to the number of independent movements or variables that a mechanism has. In the case of a double toggle mechanism for punching, it is the number of different ways the mechanism can move or operate without being constrained.

2. How does the number of degrees of freedom affect the efficiency of a double toggle mechanism for punching?

The number of degrees of freedom can impact the efficiency of a double toggle mechanism for punching. A higher number of degrees of freedom can translate to more complex movements and potentially decrease the efficiency of the mechanism. On the other hand, a lower number of degrees of freedom can result in a simpler and more efficient mechanism.

3. Can the number of degrees of freedom be changed in a double toggle mechanism for punching?

The number of degrees of freedom in a double toggle mechanism for punching is determined by the design of the mechanism and cannot be changed without altering the design. However, adjustments can be made to the mechanism's components to optimize its movements and improve its efficiency.

4. How does the number of degrees of freedom impact the precision of a double toggle mechanism for punching?

The number of degrees of freedom can affect the precision of a double toggle mechanism for punching. A higher number of degrees of freedom can result in more complex movements and potentially decrease the precision of the mechanism. Conversely, a lower number of degrees of freedom can lead to simpler and more precise movements.

5. Are there any disadvantages to having a high number of degrees of freedom in a double toggle mechanism for punching?

Having a high number of degrees of freedom in a double toggle mechanism for punching can increase the complexity and cost of the mechanism. It can also make it more prone to errors and reduce its efficiency and precision. Therefore, it is important to carefully consider the number of degrees of freedom when designing a double toggle mechanism for punching.

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
2
Views
840
  • Mechanics
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
7K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
3K
  • Advanced Physics Homework Help
Replies
1
Views
3K
Back
Top