Analysis of Plane Frames Through Minimization of Total Potential Energy ( تجزیه و تحلیل صفحه قاب از طریق به حداقل رساندن مجموع انرژی پتانسیل)

[Amir R. Haddadi 9,164]

Analysis of Plane Frames Through Minimization of Total Potential Energy

Rousta A.M., Msc Candidate, Dept. of Civil Engng., Shiraz Univ., Shiraz,Iran

*Ranjbaran A., Associate prof. Dept. of Civil Engng., Shiraz Univ., Shiraz,Iran

 

 

[h=2]Abstract[/h]Analysis of frames through minimization of total potential energy is presented. Explicit expressions for computation of potential energy of frames are derived. An optimization technique for the minimization of the total potential energy is introduced. Through analysis of typical structures the presented algorithm is verified. It is found that the method can be used in place of slope deflection method of structural analysis, albeit now for frames, trusses, and their combinations, moreover analysis of structures by an optimization procedure is an excellent job.

 

Keywords: Structural analysis, optimization, minimization, total potential energy, frames

 

 

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