Deformation-Compensated Flexural Pivots for Linear Nanopositioning

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Solution Overview

Problem

Commercial linear positioning stages face limitations in travel range and positioning resolution due to friction in bearing-based systems, and lack repeatability in trajectory straightness, making them unsuitable for high-reproducibility applications requiring nanometer or sub-nanometer resolution.

Innovation Solution

A deformation-compensated flexural pivot mechanism is developed, comprising a U-shaped member and parallel bars linked with I-link bars and flexural pivots, which are fine-tuned and optimized to minimize center shift dynamic errors, integrated with PZT motors and encoders for precise control, and optionally laser interferometers for sub-nanometer resolution.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Length of moving object

If bearing-based linear positioning stages are used, then travel range is increased, but positioning resolution deteriorates due to friction

Engineering Contradiction:
Improvetravel rangeVSAvoidpositioning resolution
Core Design Contradiction:
Length of moving objectVSMeasurement precision

Solution Approach 1:

The patent replaces the traditional bearing-based mechanical guiding system with a flexural pivot mechanism that uses elastic deformation of flexible beams instead of rolling or sliding contacts. This substitution eliminates friction entirely, allowing the system to achieve both large travel range (6-12 mm) and sub-nanometer positioning resolution simultaneously, resolving the contradiction between travel range and positioning resolution

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

2Length of moving object

If bearing-based linear positioning stages are used, then travel range is increased, but trajectory straightness repeatability deteriorates due to bearing roundness errors

Engineering Contradiction:
Improvetravel rangeVSAvoidtrajectory straightness repeatability
Core Design Contradiction:
Length of moving objectVSReliability

Solution Approach 1:

The patent replaces the bearing-based mechanical system with a flexural pivot mechanism using elastic beams. This substitution eliminates the roundness errors and sliding uncertainty inherent in bearing systems, providing microradian-level straightness of trajectory repeatability while maintaining 6-12 mm travel range, thus resolving the contradiction between travel range and trajectory repeatability

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

3Measurement precision

If flexural pivot mechanisms are used, then positioning resolution is improved, but center shift dynamic errors occur

Engineering Contradiction:
Improvepositioning resolutionVSAvoidcenter shift dynamic errors
Core Design Contradiction:
Measurement precisionVSManufacturing precision

Solution Approach 1:

The patent divides the flexural pivot mechanism into multiple parallel beams (typically 3-5 beams) arranged in a symmetric configuration. This segmentation allows the center shift dynamic errors of individual beams to cancel each other out through symmetry, maintaining sub-nanometer positioning resolution while minimizing center shift errors during dynamic operation

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent employs symmetric arrangement of multiple flexural beams to counteract asymmetric center shift errors. By positioning beams symmetrically around the neutral axis and using equal numbers of beams on each side, the system achieves error compensation that maintains high positioning precision during dynamic motion

Inventive Principle:
Principle #4Asymmetry

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

Enables sub-nanometer positioning resolution, high tilting stiffness, and microradian-level straightness of trajectory repeatability, with a travel range of 6-12 mm and 100-nm resolution, overcoming the limitations of conventional systems.

Implementation Method 1

deformation compensated flexural pivots structured for linear nanopositioning stages

Methodology Applied
Scientific EffectElastic deformation: Elasticity

Data Source

PatentUS8957567B2Mechanical design of deformation compensated flexural pivots structured for linear nanopositioning stages
Publication Date: 2015.02.17 UCHICAGO ARGONNE LLC
  • US8957567B2 patent drawing
  • US8957567B2 patent drawing
  • US8957567B2 patent drawing

AI summary

A method and deformation compensated flexural pivots structured for precision linear nanopositioning stages are provided. A deformation-compensated flexural linear guiding mechanism includes a basic parallel mechanism including a U-shaped member and a pair of parallel bars linked to respective pairs of I-link bars and each of the I-bars coupled by a respective pair of flexural pivots. The basic parallel mechanism includes substantially evenly distributed flexural pivots minimizing center shift dynamic errors.