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Nevertheless, the great simplicity of the SZ numerical formulation has a margin of uncertainty which cannot be known a priori.
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In this paper, a semi-analytical-semi-numerical formulation has been adopted to calculate the static and dynamic stiffness of pile foundations in the frequency domain, and some approximate expressions are suggested.
The formulation has been verified through numerical examples of spatial shell structures.
This ready-to-use and straightforward proposed formulation has been verified by comparison with the numerical Monte Carlo simulation based on the nonlinear complete system.
This alternative formulation has played a fundamental and significant part in developing several numerical methods for solving variational inclusion problems and related optimization problems.
That formulation has obvious political advantages.
But that formulation has proved problematic in an economic downturn.
This formulation has actually been policy for some time.
This formulation has several advantages over the old formulation.
The results based on the numerical implementation of our formulation have been validated by an independent numerical calculation using the Monte Carlo method.
An advanced numerical tool, based on the Carrera Unified Formulation, have been used to perform numerical analyses of the device.
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