Fibril Shape Optimization Using Bayesian Design

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Solution Overview

Problem

Current design approaches for synthetic gecko fibrils are limited by template-based methods that restrict exploration of optimal tip and stem shapes, leading to suboptimal adhesion forces and lengthy design times.

Innovation Solution

A machine learning-based computational design method using Bayesian optimization and finite element simulations to iteratively adapt the shape of fibrils, exploring a broad design space to maximize adhesive force, considering both tip and stem geometry and deformation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If template-based design approach is used with pre-determined T-shaped or mushroom-shaped tips, then manufacturing process is simplified, but adhesion force is suboptimal and design exploration is limited

Engineering Contradiction:
Improvemanufacturing process simplicityVSAvoidadhesion force
Core Design Contradiction:
Ease of manufactureVSStrength

Solution Approach 1:

The invention changes the geometric parameters of fibril tips and stems by using freeform curves (Bezier, spline, polynomial) to define shapes, allowing continuous variation of shape parameters rather than being constrained to fixed template geometries. This enables optimization of adhesion force through parameter exploration while maintaining manufacturability through computational design workflows.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The invention introduces dynamic adaptation of fibril shapes through iterative computational optimization processes. The design system dynamically adjusts tip and stem geometries based on performance objectives, transitioning from static template-based designs to dynamic, performance-driven shape optimization that can explore diverse geometric configurations.

Inventive Principle:
Principle #15Dynamics

2Loss of time

If template-based design with pre-determined shapes is used, then design time is reduced, but design space exploration is suppressed and optimal shapes cannot be found

Engineering Contradiction:
Improvedesign timeVSAvoiddesign space exploration
Core Design Contradiction:
Loss of timeVSAdaptability or versatility

Solution Approach 1:

The invention replaces manual, iterative mechanical design processes with automated computational optimization systems. Machine learning algorithms and finite element simulations substitute for traditional trial-and-error design methods, enabling rapid exploration of design spaces and automatic identification of optimal shapes without extensive manual intervention.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Solution Approach 2:

The computational design system performs self-optimization by automatically evaluating design candidates, assessing their adhesion performance through simulations, and iteratively improving geometries without requiring continuous human intervention. The system serves itself by generating, evaluating, and refining designs autonomously within the computational framework.

Inventive Principle:
Principle #25Self-service

3Strength

If computational optimization with iterative shape adaptation is used, then adhesion force is maximized, but computational time and complexity increase

Engineering Contradiction:
Improveadhesion forceVSAvoidcomputational complexity
Core Design Contradiction:
StrengthVSDevice complexity

Solution Approach 1:

The invention performs preliminary actions by pre-defining parameter ranges, constraint boundaries, and performance objectives before the optimization process begins. Finite element models and material properties are pre-configured, and design spaces are pre-bounded, which streamlines the subsequent optimization iterations and reduces computational overhead during the main optimization loop.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The computational optimization system implements feedback mechanisms where simulation results from finite element analysis are fed back into the optimization algorithm to guide subsequent design iterations. This closed-loop feedback enables the system to learn from previous evaluations and converge toward optimal solutions more efficiently, reducing the total computational burden.

Inventive Principle:
Principle #23Feedback

4Adaptability or versatility

If freeform curves are used to define fibril profiles, then shape flexibility and adhesion optimization are improved, but manufacturing precision requirements increase

Engineering Contradiction:
Improveshape flexibilityVSAvoidfabrication precision
Core Design Contradiction:
Adaptability or versatilityVSManufacturing precision

Solution Approach 1:

The invention uses universal parametric curve representations (Bezier, spline, polynomial curves) that can describe diverse fibril geometries through a unified mathematical framework. These universal curve types serve multiple functions: they provide shape flexibility for optimization, enable compact parameter storage, and facilitate translation to manufacturing instructions, reducing the burden of manufacturing precision through efficient geometric representation.

Inventive Principle:
Principle #6Universality (Multi-functionality)

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

This approach results in fibril designs with significantly improved adhesion performance, outperforming previous designs by up to 77% and reducing design time to approximately 3 hours, while being data-efficient and flexible for various adhesion mechanisms.

Implementation Method 1

The setae branch into many smaller hairs of seta with a spatulated tip ending, where these tips directly contact and adhere to surfaces leveraging mainly the most universal intermolecular force, the van der Waals force.

Methodology Applied
Scientific Effectvan der Waals force: Van der Waals Force

Data Source

PatentUS20240149501A1Method of making one or more fibrils, computer implemented method of simulating an adhesive force of one or more fibrils and fibril
Publication Date: 2024.05.09 MAX PLANCK GESELLSCHAFT ZUR FOERDERUNG DER WISSENSCHAFTEN EV
  • US20240149501A1 patent drawing
  • US20240149501A1 patent drawing
  • US20240149501A1 patent drawing

AI summary

The present invention relates to a method of making one or more fibrils, the method comprising the steps of providing a material of manufacture of the one or more fibrils; providing a random initial shape of the one or more fibrils, with each fibril of the one or more fibrils comprising several surfaces; calculating an adhesive force of the one or more fibrils based on the material of manufacture of the one or more fibrils and on the provided random initial shape of the one or more fibrils, i.e. of their several surfaces; adapting, in particular iteratively adapting, the random initial shape of the one or more fibrils to vary the adhesive force of the one or more fibrils to form resultant shapes of the one or more fibrils and determining the corresponding adhesive force of each resultant shape of the one or more fibrils; selecting the resultant shape of the one or more fibrils having the highest adhesive force of the one or more fibrils; and producing one or more fibrils having the selected resultant shape having the highest adhesive force of the one or more fibrils. The invention further relates to a computer implemented method of simulating an adhesive force of one or more fibrils and to a fibril.