Energy-Based Pile Displacement Analysis in Non-Linear Soil Strata

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Solution Overview

Problem

Current analytical techniques for pile foundation systems in multi-soil strata are inadequate for accurately predicting displacement responses under various loading conditions, particularly in non-linear soil strata, due to the complexity of soil behavior and layering effects.

Innovation Solution

An energy-based approach using a simplified continuum model and iterative numerical methods to analyze pile displacement responses in multi-layered non-linear soil strata, incorporating soil non-linearity and varying soil moduli, is developed. This method employs Hamilton's principle and variational principles to derive governing differential equations and accounts for soil stiffness degradation with strain using a power law, allowing for faster results compared to Finite Element Methods.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional analytical techniques are used for pile foundation systems in multi-soil strata, then the analysis method is simple, but the accuracy of predicting displacement responses is insufficient

Engineering Contradiction:
Improveaccuracy of displacement predictionVSAvoidcomplexity of analysis method
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent transforms the complex soil-pile interaction problem into a solvable form by changing parameters: introducing dimensionless parameters (γ1, γ2, φ) to normalize the governing differential equations, and using iterative numerical methods to handle the non-linear soil behavior. This allows accurate prediction of displacement responses while maintaining computational feasibility.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If Finite Element Methods are used to analyze pile behavior in multi-layered soil, then the analysis accuracy is high, but the computational time is long

Engineering Contradiction:
Improveaccuracy of displacement predictionVSAvoidcomputational time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent extracts and separates the soil non-linearity from the overall pile-soil system by using an iterative approach where soil parameters are updated based on current displacement states. This allows the use of simpler analytical methods while capturing non-linear effects, significantly reducing computational time compared to full Finite Element analysis while maintaining accuracy.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent performs preliminary calculations by assuming initial soil stiffness values and iteratively updating them based on strain levels. This preliminary action allows the method to converge quickly to accurate solutions without requiring the extensive computational resources of FEM, achieving both speed and accuracy.

Inventive Principle:
Principle #10Preliminary action

3Device complexity

If soil non-linearity is neglected in the analysis, then the analysis is simpler, but the prediction accuracy for non-linear soil strata deteriorates

Engineering Contradiction:
Improvesimplicity of analysis methodVSAvoidaccuracy in non-linear soil strata
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent makes the soil stiffness dynamic rather than static by updating soil moduli based on current strain levels during the iterative solution process. This allows the analysis to adapt to non-linear soil behavior at different loading stages, achieving high accuracy in non-linear soil strata while maintaining a relatively simple analytical framework.

Inventive Principle:
Principle #15Dynamics

Data Source

PatentUS20230394187A1Analysis of bridge-pile foundation system in multi-layered non-linear soil strata using energy-based method
Publication Date: 2023.12.07 FLORIDA ATLANTIC UNIVERSITY
  • US20230394187A1 patent drawing
  • US20230394187A1 patent drawing
  • US20230394187A1 patent drawing

AI summary

Disclosed is a method for analyzing displacement responses of piles subjected to at least one loading condition selected from an axial load, a lateral load, and a bending moment. Also disclosed is a non-transitory machine-readable storage medium including instructions executable by a processing resource of a computing device to cause the processing resource to perform the inventive method.