Circular Curved Beam Geometry Stifness

- May 16, 2019 at 8:22 am
  
  FIZZA
  Subscriber
  
  Dear all,
  
  Can anyone help me to calculate the stiffness of this U shaped Spring mathematically , made in Curved circular form?
- May 16, 2019 at 5:00 pm
  
  peteroznewman
  Subscriber
  
  If you have the material properties of Young's modulus and Poisson's Ratio, and the geometry, you can make a simple Static Structural Model. I assume one face is fixed, and another face is moving.
  
  Pick the Fixed Face and under Supports, make this a Fixed Support.
  
  There are six stiffness values, one for each movement of the moving face.
  
  You can move that face in the X, Y, and Z directions by 1 um in three separate analyses. In each case, there will be a reaction force. The stiffness in units of N/um in the X direction is the the Reaction Force measured. Repeat this for the Y and the Z directions.
  
  You can also rotate that face by 1 degree about an axis parallel to the X, Y and Z directions. There will be a Reaction Torque for each of these three separate analyses. The stiffness in units of N.um/degree is the Reaction Torque measured.
  
  You can apply these rotations using a Remote Displacement on the Moving Face.
- May 17, 2019 at 5:40 am
  
  FIZZA
  Subscriber
  
  Thanks alot for your help . I did analysis on Ansys, actually i need the Spring constant in form of a formula that justifies this shape?
- May 17, 2019 at 1:36 pm
  
  sk_cheah
  Subscriber
  
  Sounds like Castigliano's method may be a good way to calculate what you need.
  
  Kind regards,
  Jason
- May 24, 2019 at 6:16 am
  
  FIZZA
  Subscriber
  
  Thanks Jason.