Monopile Modeling with Distributed Moment and Base Shear
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Solution Overview
Problem
Existing structural analysis and design software often leads to overly conservative designs for large diameter monopiles with small length-to-diameter ratios, as they fail to adequately capture the behavior under concurrent wind, wave, and current loads, and do not consider axial or combined loading.
Innovation Solution
A new model that includes distributed moment along the pile, base moment at the pile tip, and base shear force at the pile tip, using standardized p-y and t-z curves to calculate rotational and shear stiffness, and iteratively solving non-linear equations to model the monopile, thereby considering axial and combined loading.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the Winkler Model is used to model monopiles as a beam supported by nonlinear springs representing soil response, then the model is well suited for slender piles, but it leads to overly conservative designs for large diameter monopiles with small length-to-diameter ratios
Solution Approach 1:
The patent changes the fundamental parameters of the soil-structure interaction model by introducing distributed moment, base moment, and base shear force in addition to distributed lateral load. This transforms the Winkler Model into a more comprehensive model that accounts for rotational stiffness and moment effects, which are critical for large diameter monopiles with small length-to-diameter ratios. The new model uses modified soil reaction curves (p-y, t-z, and q-z curves) to represent these additional parameters, enabling more accurate modeling of the complex soil-structure interaction behavior.
2Reliability
If the PISA Model is used to replace the Winkler Model by introducing distributed moment, base moment, and base shear force, then the model shows promise for monopile design, but it only considers lateral loading and does not consider axial or combined loading
Solution Approach 1:
The patent extends the PISA Model to achieve universality by integrating capabilities to handle lateral loading, axial loading, and combined loading conditions within a single unified framework. The model incorporates axial load transfer through the pile shaft and base, allowing it to simulate various loading scenarios including pure lateral loading, pure axial loading, and their combinations. This multi-functional capability makes the model adaptable to different monopile design situations and loading conditions.
3Reliability
If the PISA Model is used, then distributed moment and base moment are considered, but new soil reaction curves need to be determined through new field testing which have not yet been standardized
Solution Approach 1:
The patent introduces standardized soil reaction curves (p-y curves for lateral load, t-z curves for shaft friction, and q-z curves for base resistance) as intermediary elements that mediate between the complex soil-structure interaction and the structural response. These standardized curves serve as pre-determined, empirically-based relationships that can be directly applied without requiring new field testing for each project. The curves act as transfer functions that convert displacement inputs into reaction force outputs, simplifying the implementation while maintaining accuracy.
4Device complexity
If conventional structural analysis software uses the Winkler Model, then the modeling approach is simple, but it does not adequately capture the behavior under concurrent wind, wave, and current loads that produce large overturning moments
Solution Approach 1:
The patent adds another dimension to the soil-structure interaction model by incorporating rotational stiffness and moment effects alongside the traditional lateral load-displacement relationship. The new model considers not only the horizontal displacement of the pile but also the rotation of the pile cross-section and the resulting distributed moment and base moment. This dimensional expansion allows the model to capture the coupled lateral-flexural-torsional behavior that occurs under concurrent wind, wave, and current loads, providing a more realistic representation of the physical system.
Data Source
AI summary
In example embodiments, a new model for modeling monopiles in is provided that, in addition to distributed lateral load along the monopile, considers distributed moment along the length of the pile, base moment at the pile tip, and base shear force at the pile tip. The new model may avoid the overly conservative designs for large diameter piles (e.g., 10 m+) with small length-to-diameter ratios (e.g., <6), while using standardized reaction curves (i.e., p-y curves and t-z curves) and considering axial and combined loading.


