Computational analysis methods

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: 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)

Organizations

• NAFEMS - National Agency for Finite Element Methods and Standards
• International Association for Computational Mechanics
• United States Association for Computational Mechanics

External Links

• 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