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The second part of this paper explores the use of equivalent linear soil properties in analytical solutions as an approximate way of simulating nonlinearity.
This method is based on the use of equivalent linear properties which are characterized by the shear modulus (G and Gmax) and damping ratio for different soils.
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The results of equivalent linear site response analyses are used as an input for the analytical solutions.
By obtaining the IRFs or frequency response functions (FRFs) (by the Fourier transform of IRFs) of equivalent linear system, linear random vibration methods can be used to determine the considered statistical responses for the nonlinear system with first order approximation.
The main aim of this study is to investigate the concept of using "equivalent linear soil stiffness" instead of the complex nonlinear seabed riser interaction model, for the early stages of fatigue design of SCRs.
This research proposes a modified equivalent linear method with a further reduction of the soil shear modulus in the near-field of foundation that results in validity of using the equivalent linear method throughout.
Hence, the reduction in the rigidity is roughly 0.4 and the strain level is ~10−3 considering the general behavior of sand soil used in equivalent linear analyses.
The incremental dynamic analyses of Carite Dam were performed using the equivalent linear method.
The method of equivalent linearization is used to derive the equivalent linear model and the optimal control laws are obtained by using stochastic optimal control theory based on full state information.
The estimated PGAs are 0.71, 0.96, and 0.908 g using linear, equivalent linear and experiment, respectively for this motion.
The amount of acceleration amplifications at various depths for different input motions using linear analysis, equivalent linear analysis and the experiment are summarized in Table 4.
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