You should be able to do this in any decent FE program  The main question is what sort of strip?  If you want a flexible strip, you should be able to do it in L-DYNA.  Otherwise Strand should cope.

The main question is ''Is there any research paper on mobious structure ?''

Here is some literature:

https://www.researchgate.net/publication/6204922_The_shape_of_a_Mobius_strip

http://www.abc.net.au/news/2007-07-16/moebius-strip-riddle-solved-at-last/2504326

http://www.nature.com/nmat/journal/v6/n8/abs/nmat1929.html

http://spectrum.ieee.org/tech-talk/semiconductors/optoelectronics/a-mobius-strip-made-of-light

https://phys.org/news/2013-08-mobius-ties-liquid-crystal-tomorrow.html

http://www.neatorama.com/2010/08/06/mobius-strip-building/

http://physicsworld.com/cws/article/news/2002/may/23/crystals-get-in-a-twist

https://www.eurekalert.org/pub_releases/2010-10/asu-dai100410.php

http://math-fail.com/2014/03/mobius-wedding-band.html

Regards,

Joachim

Article The shape of a Möbius strip