Isogeometric Analysis for Plate Frame Ultimate Strength
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Solution Overview
Problem
Conventional finite element methods (FEM) face challenges in accurately analyzing the ultimate strength of complex hull structures due to geometric modeling and meshing complexities, which hinder the intuitive understanding and deep analysis of mechanical characteristics and failure mechanisms.
Innovation Solution
The method employs isogeometric analysis (IGA) to construct a plate frame structure model using higher-order spline basis functions, allowing for direct geometric modeling and analysis without meshing, and incorporates nonlinear analysis techniques, such as the Newton-Raphson iteration method, to solve the ultimate strength of hull structures.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional FEM is used for hull structure analysis, then the analysis can be performed with standard tools, but the geometric modeling and meshing complexity increases significantly
Solution Approach 1:
The patent merges CAD geometric modeling and CAE finite element analysis into a unified isogeometric analysis framework. By using NURBS basis functions for both geometric representation and discretization, the separate processes of creating geometric models and generating finite element meshes are combined into a single integrated process, eliminating the need for manual meshing and geometric defect repair.
Solution Approach 2:
The patent applies NURBS basis functions universally for multiple purposes: representing complex hull geometries, defining element shapes, and performing numerical analysis. This multi-functional approach allows the same mathematical framework to handle both geometric modeling and structural analysis, reducing the complexity associated with transitioning between different modeling and analysis systems.
2Ease of manufacture
If conventional FEM with manual meshing is used, then the geometric model can be created in CAD system, but the preprocessing complexity and time consumption increases
Solution Approach 1:
The patent performs preliminary action by using NURBS basis functions to define both the geometric model and the analysis discretization simultaneously. The geometric modeling process inherently creates the analytical mesh, eliminating the need for separate meshing operations and reducing preprocessing time significantly.
3Measurement precision
If IGA is used for nonlinear ultimate strength analysis, then the geometric accuracy is improved, but the solution complexity and computational difficulty increases
Solution Approach 1:
The patent applies local quality by using high-order NURBS basis functions specifically in regions where geometric accuracy is critical, such as stress concentration areas and complex hull forms. This allows the method to maintain high geometric fidelity where needed while managing computational complexity through localized application of sophisticated mathematical tools.
Data Source
AI summary
Ship structural ultimate bearing analysis and design research is involved. A method for implementing ultimate strength analysis of plate frame structure based on isogeometric analysis includes the following steps: according to the plate frame structure, constructing an IGA model, wherein the IGA model comprises several plane shell elements; carrying out a coordinate transformation on the plane shell elements; carrying out a weak coupling on boundaries of transformed plane shell elements by Nitsche method and carrying out a mesh refinement; setting material properties, loads and boundary conditions of refined plane shell elements, and constructing a nonlinear equation according to setting results; and solving the nonlinear equation by Newton-Raphson iteration method, and carrying out a simulation analysis by NX software to obtain an ultimate strength of the plate frame structure.