I think it can be done. You may calculate the total potential energy (TPE = Strain energy - change in potential of external loads), then take the variation of that. You may try a beam first for simplicity.
Beam would be a good starting point. But how do I relate the externally applied inplane load to the curvature of the beam. I was referring to Timoshenko's Theory of elastic stability.
R. Chennamsetti, Scientist,
R. Chennamsetti, Scientist, R&D Engineers, India
I think it can be done. You may calculate the total potential energy (TPE = Strain energy - change in potential of external loads), then take the variation of that. You may try a beam first for simplicity.
- Ramdas.
In reply to R. Chennamsetti, Scientist, by ramdas chennamsetti
Hi Chennamsetti, Beam
Hi Chennamsetti,
Beam would be a good starting point. But how do I relate the externally applied inplane load to the curvature of the beam. I was referring to Timoshenko's Theory of elastic stability.
Thanks
External loads - Change in Potential.
R. Chennamsetti, Scientist, R&D Engineers, India
These externally applied forces will have a change in potential (Force*distance). This term will appear in your TPE.
You may see thin plates topics in "Theory of Elastic Stability" - Timoshenko.
- Ramdas