Natural frequency of clamped-hinged column

In summary, the equation you seek is contained in the paper "Effect of End Conditions on the Lateral Stability of Cantilever Beam" by Asghar A. Jamshidi.
  • #1
dyah09
4
0
Homework Statement
I have a column clamped at the bottom and for the top, I use hinged BC but free at the Y axis. I have the dimension and the material properties. How to calculate its natural frequency?
Relevant Equations
I'm looking for the equation
I have a column clamped at the bottom and for the top, I use hinged BC but free at the Y axis. I have the dimension and the material properties. How to calculate its natural frequency?
 
Physics news on Phys.org
  • #2
Welcome to PF.

There will be several modes and frequencies of oscillation.
Is the column circular, or does it have different second moment of inertia in different directions?
Please attach a diagram showing the freedom-of-movement connection details to your next post.
 
  • Like
Likes dyah09
  • #3
The cross-section is a rectangle. I tried to write the problem out. Here you go
 

Attachments

  • photo_2023-05-22_10-58-43.jpg
    photo_2023-05-22_10-58-43.jpg
    21.9 KB · Views: 69
  • #4
Now that the problem is better defined, it is a case of finding the equation you seek.
We do not directly answer the question, and cannot learn for you. This question requires that you investigate the sources, to identify the relevant equation.
What texts do you have available for this subject ?
 
  • Like
Likes dyah09
  • #5
I found many equations in some papers. Mostly it's about the cantilever beam. For example, this equation: fn=k^2/(2*pi()*L^2)*sqrt(EI/m)

I know L is for the length of the beam/column; E is for young's modulus of the material; I is for the moment of inertia of the cross-section; and m is for the mass of the column per unit length. And then there is k, a parameter that depends on the boundary condition (BC) and the mode shapes. The paper doesn't have k value for my problem's BC. That's the problem sir, I don't know where to find the k value for clamped-hinged column or beam

Also, the units in this equation aren't really explained well in the paper. So, I'm a bit confused.
 
  • #7
Ohh thank you sm sir, i will read it first
 

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
3
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
15
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
19
Views
2K
  • Mechanical Engineering
Replies
5
Views
885
  • Engineering and Comp Sci Homework Help
Replies
7
Views
3K
  • Other Physics Topics
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
2K
  • Mechanical Engineering
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
Back
Top