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The Newton Raphson iterative technique is used to solve the non-linear incremental equations.
Modified Newton Raphson iterative technique is used to solve the nonlinear incremental equations.
Here, the applicability of the stress incremental equations for unbonded tendons suggested by design standards was evaluated.
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By replaceing ∆θ with ∆δ i according to (8), the incremental equation of ψ can be obtained as (18).
For small-signal analysis of the two-machine power system, the corresponding linearized model which is also known as the incremental equation can be obtained in (24).
Thus the corresponding incremental equation of the CC-VSC can be obtained in (14) resembling the Phillips-Heffron modeling of traditional SG, which is suitable for small-signal stability analysis.
Based on the total Lagrangian increment formulation, the incremental equilibrium equation is built to include geometric nonlinearity.
The incremental governing equations are formulated via the variational principle of virtual work based on an incremental exponential algorithm for the creep modelling.
The finite element incremental equilibrium equations are developed by updated Lagrangian formulation using the non-linear displacement cross-section field that accounts for large rotation effects.
The analysis is based on the three-dimensional incremental equilibrium equations, which are derived and then solved numerically for a specific material model using the Adams Moulton method.
Part II of this work derives all incremental plasticity equations from the NLK approach in the spaces proposed in Part I, and discusses its advantages over the classical 6D formulation.
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