Nonlinear structural behavior may be associated with either geometric or material response, each described as follows:
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Nonlinear analysis methods are best applied when either geometric or material nonlinearity is considered during structural modeling and analysis. If only elastic material behavior is considered, linear analysis methods should suffice, though P-Delta formulation may still be applied. Linear and nonlinear methods may be static or dynamic. A few of the traditional analysis methods, and the relations between their attributes, are presented in Figure 1:
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Figure 1 - Analysis methods
Each of these analysis methods has benefits and limitations. An overview of each method is as follows:
- Strength-based analysis is a static-linear procedure in which structural components are specified such that their elastic capacities exceed the demands of loading conditions. Strength-based demand-capacity (D-C) ratio ratios indicate the adequacy of each component. Since only the elastic stiffness properties are applied to the analytical model, strength-based analysis is the most simplified and least time-consuming analysis method.
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- Generate information useful to the design decision-making process.
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Capacity Design
Nonlinear modeling and analysis is fundamental to Capacity Design.
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