Linear vs Nonlinear Buckling
Choosing between linear buckling and nonlinear buckling in given case can be difficult. Both approaches have positive and negative aspects. I explain here what are the differences, and when to use each analysis. I promise not to use complicated mathematics, nor highly theoretical approach. Instead I will use a simple example to easily describe differences.
My first encounter to this problem
Linear vs nonlinear buckling dilemma got to me when I started my PhD in shell stability. As a civil engineer I wasn't really trained in FEA during studies (apart from obvious programs for structural design). Modeling a shell for Abaqus or NX Nastran was definitely a challenge, but one I could quickly overcame. Problems started when I had to actually define an analysis type for my problem.
I quickly realized that there are far to many possibilities I have never heard about to choose from. Analysis called "buckling" obviously looked promising, and was my first bet :) Later I realized that such approach was frown upon by some of the "scientific" crowd, so I have searched for an alternative. That way (and thanks to Cornelia Doerich PhD thesis!) I managed to learn about nonlinear buckling! It was then when something "clicked" for me, and I simply never looked at any engineering problem in the same way as before. If you have no experience with nonlinear analysis, I would greatly advice you to take a look - you will be surprised how incredible it may be!
Linear vs nonlinear buckling: all you need to know
Below, you have a you will see a short video, where I describe what are the differences in linear and nonlinear buckling on a simple shell example. If you have missed it, you can read on my blog about both linear buckling, and nonlinear buckling.
Happy watching :)
It is true! I have a free nonlinear course just for you!
CEO / Founder / Engineer @ LEngCo Engineering
8 年Well done!
? Pressure Vessel Design ? Nonlinear FEA Analysis ? FEA Speaker/Teacher
8 年Hey Rafik! Thank you for kind words :) Yes, I would say that even if you introduce imperfections linear buckling will over-predict real capacity. I always use nonlinear buckling in shell design :) BTW you can learn more in a free FEA course I have created. Just go: https://enterfea.com/free_fea_course/ Have a great day! ?ukasz
Engineering Project Manager chez SBM Offshore
8 年Hi ?ukasz, it is a very nice comparison! Would the critical buckling load be also over estimated linearly in case of geometry imperfection?
? Pressure Vessel Design ? Nonlinear FEA Analysis ? FEA Speaker/Teacher
8 年thanks for the kind words :)