Topology Optimization for Flexible Hinge Design

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Solution Overview

Problem

Conventional flexible hinges face challenges in achieving high rotation flexibility, precision, and low stress levels simultaneously due to their elastic deformation, and their design largely relies on experiential methods, making it difficult to create complex configurations with excellent performance.

Innovation Solution

A topology optimization method is employed to design a novel flexible hinge by establishing a design model, finite element model, and mathematical model, using optimization algorithms to update design variables and remove material optimally, resulting in a configuration that enhances rotation flexibility and precision while reducing stress.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If conventional notch-type flexible hinge designs are used, then manufacturing simplicity is maintained, but rotation flexibility and stress performance are compromised

Engineering Contradiction:
Improvemanufacturing simplicityVSAvoidrotation flexibility
Core Design Contradiction:
Ease of manufactureVSStrength

Solution Approach 1:

The invention changes the geometric parameters of the flexible hinge by introducing variable thickness distributions and optimized notch configurations through topology optimization. The thickness parameter varies continuously across the hinge structure, allowing regions of different flexibility to be created, thereby improving rotation flexibility while maintaining manufacturability through standard fabrication processes.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The flexible hinge is segmented into multiple regions with different thicknesses and material densities through the optimization process. The structure is divided into high-flexibility regions (thinner sections) and high-strength regions (thicker sections), allowing each region to perform its specific function optimally while maintaining overall structural integrity.

Inventive Principle:
Principle #1Segmentation

2Device complexity

If conventional flexible hinge configurations are used, then design simplicity is maintained, but rotation precision and stress distribution are suboptimal

Engineering Contradiction:
Improvedesign simplicityVSAvoidrotation precision
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

Topology optimization changes the spatial distribution parameters of the hinge structure, creating non-uniform thickness patterns and optimized material layouts. These parameter changes enable precise control over the deformation characteristics, improving rotation precision by ensuring more uniform stress distribution and predictable elastic deformation behavior.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

Different regions of the flexible hinge are assigned different local properties through variable thickness and density distributions. Critical regions requiring higher precision have optimized geometries that ensure uniform stress distribution, while other regions are designed for maximum flexibility or stress relief, achieving local optimization that improves overall rotation precision.

Inventive Principle:
Principle #3Local quality

3Strength

If material is removed to enhance rotation flexibility, then stress concentration increases, but rotation flexibility improves

Engineering Contradiction:
Improverotation flexibilityVSAvoidstress concentration
Core Design Contradiction:
StrengthVSStress or pressure

Solution Approach 1:

The optimization process changes the thickness parameter continuously across the hinge structure, creating smooth transitions between thick and thin regions. This continuous parameter variation avoids abrupt geometric changes that would cause stress concentration, while still removing sufficient material to achieve the desired rotation flexibility.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The topology optimization process anticipates stress concentration issues by strategically placing thicker regions and smooth transitions in advance of high-stress areas. The optimized design preemptively cushions against stress concentration by creating geometry that naturally distributes stresses more evenly, preventing extreme stress peaks before they occur during operation.

Inventive Principle:
Principle #11Beforehand cushioning (Prior cushioning)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The method generates a flexible hinge with improved rotation flexibility, higher precision, and lower stress levels compared to traditional designs, allowing for automatic generation of optimal configurations based on objective functions and constraints.

Implementation Method 1

A flexible hinge which completes a transmission and a transition of movement and force by using an elastic deformation of itself

Methodology Applied
Scientific EffectElastic deformation: Elasticity

Data Source

PatentUS10824780B2Method of topology optimization for flexible hinge
Publication Date: 2020.11.03 SOUTH CHINA UNIV OF TECH
  • US10824780B2 patent drawing
  • US10824780B2 patent drawing
  • US10824780B2 patent drawing

AI summary

A design method of topology optimization for flexible hinge is disclosed in the invention, comprising following steps: step 1: establishing a design model of topology optimization for flexible hinge, setting an outline of flexible hinge with a typical notch as a shape of design domain and defining a rigid region (non-design domain); step 2: establishing a finite element model of topology optimization for flexible hinge; step 3: establishing a mathematical model of topology optimization problem for flexible hinge based on the finite element model; step 4: calculating a sensitivity of topology optimization problem for flexible hinge; step 5: employing an optimization algorithm to solve the topology optimization problem for flexible hinge, updating a design variable and obtaining a final topology result graph; step 6: according to the final topology result graph obtained by the topology optimization, extracting its outline and obtaining a novel flexible hinge by appropriate modification. Using the method of topology optimization, the invention designs the flexible hinge on a concept level. The novel flexible hinge can be designed with a more complex structure and more excellent performances, having a larger flexibility, a higher precision and a smaller maximum stress.