Computational analysis methods: Difference between revisions

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Below is a brief summary of computational analysis methods that covered in this section.
Below is a brief summary of computational analysis methods that covered in this section.


Static analyses (Ziemian 2007):
== Static analyses ==


* 1st order elastic analysis: <tex>[K_e]\{\Delta} = \{F\}</tex>
Static analyses can be classified as (Ziemian 2007):
* 2nd order elastic analysis:  <tex>[K_e + K_g]\{d\Delta} = \{dF\}</tex> ([[P-Delta]] effects are considered)
 
* 3rd order elastic analysis:  <tex>[K_e + K_g]\{d\Delta} = \{dF\}</tex> ([[large displacements]] are considered)
* 1st order elastic analysis: <math>[K_e] {\Delta} = \{F\}</math>
* 1st order inelastic analysis: <tex>[K_e + K_p]\{d\Delta} = \{dF\}</tex>
* 2nd order elastic analysis:  <math>[K_e + K_g] {d\Delta} = \{dF\}</math> ([[P-Delta]] effects are considered)
* 2nd order inelastic analysis: <tex>[K_e + K_g + K_p]\{d\Delta} = \{dF\}</tex> (P-Delta effects are considered)
* 3rd order elastic analysis:  <math>[K_e + K_g] {d\Delta} = \{dF\}</math> ([[large displacements]] are considered)
* 3rd order inelastic analysis:  <tex>[K_e + K_g + K_p]\{d\Delta} = \{dF\}</tex> (large displacements are considered)
* 1st order inelastic analysis: <math>[K_e + K_p] {d\Delta} = \{dF\}</math>
* 2nd order inelastic analysis: <math>[K_e + K_g + K_p] {d\Delta} = \{dF\}</math> (P-Delta effects are considered)
* 3rd order inelastic analysis:  <math>[K_e + K_g + K_p] {d\Delta} = \{dF\}</math> (large displacements are considered)


== Organizations ==
== Organizations ==


* [http://www.nafems.org NAFEMS] - National Agency for Finite Element Methods and Standards
* [http://www.nafems.org NAFEMS] - National Agency for Finite Element Methods and Standards
* [http://www.cimne.com/iacm/ International Association for Computational Mechanics]
* [http://www.usacm.org/ United States Association for Computational Mechanics]


== External Links ==
== External Links ==


* Ronald D. Ziemian: [http://www.aisc.org/UploadedContent/OnlineVideoCourseFiles/Set_2/part5c.html Basic Introduction to Non-Linear Frame Analysis] (video), 2007 North American Steel Construction Conference, April 18-21, 2007. Part 3/3, slide 22.
* Ronald D. Ziemian: [http://www.aisc.org/UploadedContent/OnlineVideoCourseFiles/Set_2/part5c.html Basic Introduction to Non-Linear Frame Analysis] (video), 2007 North American Steel Construction Conference, April 18-21, 2007. Part 3/3, slide 22.
* [http://sites.google.com/site/canhlewebpage/useful-links Computational Mechanics & Design Research Group, University of Sheffield]


{{Computational Mechanics}}
{{Computational Mechanics}}

Latest revision as of 20:55, 22 October 2024

Below is a brief summary of computational analysis methods that covered in this section.

Static analyses

Static analyses can be classified as (Ziemian 2007):

  • 1st order elastic analysis:
  • 2nd order elastic analysis: (P-Delta effects are considered)
  • 3rd order elastic analysis: (large displacements are considered)
  • 1st order inelastic analysis:
  • 2nd order inelastic analysis: (P-Delta effects are considered)
  • 3rd order inelastic analysis: (large displacements are considered)

Organizations

External Links

 

Home > Topics > Computational Analysis Methods e
Overview Computational analysis methods
Analysis methods Flexibility method  · Direct stiffness method  · Finite element method  · Pushover analysis  · Modal analysis  · Response spectrum analysis  · Staged construction
Time history analysis Modal time history analysis  · Direct integration time history analysis
Other methods Applied element method  · Progressive collapse  · Heat of hydration analysis
Miscellaneous P-Delta effect

See Also Traditional analysis methods  · Stability  · Dynamics
Related Categories Analysis Method