Computational analysis methods: Difference between revisions

Revision as of 02:22, 22 October 2024

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

Static analyses can be classified as (Ziemian 2007):

1st order elastic analysis: Failed to parse (syntax error): {\displaystyle [K_e]\{\Delta} = \{F\}}
2nd order elastic analysis: Failed to parse (syntax error): {\displaystyle [K_e + K_g]\{d\Delta} = \{dF\}} (P-Delta effects are considered)
3rd order elastic analysis: Failed to parse (syntax error): {\displaystyle [K_e + K_g]\{d\Delta} = \{dF\}} (large displacements are considered)
1st order inelastic analysis: Failed to parse (syntax error): {\displaystyle [K_e + K_p]\{d\Delta} = \{dF\}}
2nd order inelastic analysis: Failed to parse (syntax error): {\displaystyle [K_e + K_g + K_p]\{d\Delta} = \{dF\}} (P-Delta effects are considered)
3rd order inelastic analysis: Failed to parse (syntax error): {\displaystyle [K_e + K_g + K_p]\{d\Delta} = \{dF\}} (large displacements are considered)

Ronald D. Ziemian: Basic Introduction to Non-Linear Frame Analysis (video), 2007 North American Steel Construction Conference, April 18-21, 2007. Part 3/3, slide 22.
Computational Mechanics & Design Research Group, University of Sheffield

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

@@ Line 5: / Line 5: @@
 Static analyses can be classified as (Ziemian 2007):
-* 1st order elastic analysis: <tex>[K_e]\{\Delta} = \{F\}</math>
+* 1st order elastic analysis: <math>[K_e]\{\Delta} = \{F\}</math>
-* 2nd order elastic analysis:  <tex>[K_e + K_g]\{d\Delta} = \{dF\}</math> ([[P-Delta]] effects are considered)
+* 2nd order elastic analysis:  <math>[K_e + K_g]\{d\Delta} = \{dF\}</math> ([[P-Delta]] effects are considered)
-* 3rd order elastic analysis:  <tex>[K_e + K_g]\{d\Delta} = \{dF\}</math> ([[large displacements]] are considered)
+* 3rd order elastic analysis:  <math>[K_e + K_g]\{d\Delta} = \{dF\}</math> ([[large displacements]] are considered)
-* 1st order inelastic analysis: <tex>[K_e + K_p]\{d\Delta} = \{dF\}</math>
+* 1st order inelastic analysis: <math>[K_e + K_p]\{d\Delta} = \{dF\}</math>
-* 2nd order inelastic analysis: <tex>[K_e + K_g + K_p]\{d\Delta} = \{dF\}</math> (P-Delta effects are considered)
+* 2nd order inelastic analysis: <math>[K_e + K_g + K_p]\{d\Delta} = \{dF\}</math> (P-Delta effects are considered)
-* 3rd order inelastic analysis:  <tex>[K_e + K_g + K_p]\{d\Delta} = \{dF\}</math> (large displacements are considered)
+* 3rd order inelastic analysis:  <math>[K_e + K_g + K_p]\{d\Delta} = \{dF\}</math> (large displacements are considered)
 == Organizations ==