Phased Array Buckling Actuator Displacement Amplification

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Solution Overview

Problem

Piezoelectric actuators face a significant limitation due to their extremely small strain, which is impractical for broad-scale applications such as robotics, as they can only produce displacements of around 0.1% actuation strain, resulting in unforced displacements of just 20 μm for a 20 mm length, making them unsuitable for most robotic systems.

Innovation Solution

A buckling type flexure device is used to amplify displacement by over 100 times, employing a unique force-displacement nonlinearity and compact monolithic design, allowing for the integration of multiple piezoelectric buckling actuators in a compact housing, creating a high-torque, compact rotary actuator with backdriveability and low friction, enabling effective charge recovery and energy harvesting.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Length of moving object

If conventional strain amplification mechanisms (bi-morph, uni-morph, flextensional) are used to amplify piezoelectric actuator displacement, then displacement is increased, but the output displacement remains less than 1 mm which is too short for robotics applications

Engineering Contradiction:
Improveoutput displacementVSAvoiddisplacement amplification magnitude
Core Design Contradiction:
Length of moving objectVSProductivity

Solution Approach 1:

The patent employs dynamic buckling behavior where the mechanism transitions from a stable linear configuration to an unstable buckled state, exploiting the dynamic instability point to achieve large displacement amplification. The system operates near the buckling threshold where small input forces produce large output displacements, transforming the static amplification limitation into a dynamic solution.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent changes the structural parameters of the amplification mechanism by introducing a buckling-prone geometry with specific initial stresses and constraints. By adjusting the pre-compression, structural dimensions, and boundary conditions, the system transitions from linear elastic behavior to nonlinear buckling behavior, enabling displacement amplification exceeding 100 times the input displacement.

Inventive Principle:
Principle #35Parameter changes

2Length of moving object

If multi-stage amplification is used to increase output displacement, then displacement is increased, but device complexity increases

Engineering Contradiction:
Improveoutput displacementVSAvoidamplification mechanism complexity
Core Design Contradiction:
Length of moving objectVSDevice complexity

Solution Approach 1:

The patent segments the amplification function into multiple independent buckling actuator units rather than using a single complex multi-stage mechanism. Each unit operates independently with its own buckling element, allowing parallel operation that achieves large cumulative displacement without the mechanical complexity of串联 multi-stage amplifiers.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent merges multiple buckling actuator units into a phased array system where units are spatially distributed and activated in coordinated phases. This combination approach achieves the displacement of multi-stage amplification while maintaining simpler individual unit designs and enabling parallel actuation that reduces overall system complexity.

Inventive Principle:
Principle #5Merging (Combining)

3Loss of energy

If conventional mechanisms are used for power re-generation and energy harvesting, then energy recovery is possible, but friction at gearing and transmission mechanisms consumes substantial fraction of available power

Engineering Contradiction:
Improveenergy harvesting efficiencyVSAvoidtransmission mechanism complexity
Core Design Contradiction:
Loss of energyVSDevice complexity

Solution Approach 1:

The patent replaces traditional mechanical transmission systems (gears, belts, linkages) with a direct buckling actuation system that converts electrical energy to mechanical motion through piezoelectric elements. This substitution eliminates friction-based power losses by removing intermediate transmission components, allowing the actuator to be backdriveable and suitable for energy harvesting applications.

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

Solution Approach 2:

The buckling actuator system serves dual functions: it acts as an actuator when electrical energy is input to produce motion, and as a generator when external forces drive the buckling elements to recover energy. This multi-functionality is achieved without separate transmission mechanisms, as the same buckling structure enables both actuation and energy harvesting modes.

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

The buckling type flexure device achieves significant displacement amplification, producing over 1.5 mm displacement and 160 Nm torque with 5.6 kW output power, making it suitable for applications like power suits, rehabilitation equipment, and mobile robots, while also enabling bi-directional, interactive actuation and efficient energy harvesting.

Implementation Method 1

Each of the buckling actuator units includes first and second input linear actuators

Methodology Applied
Scientific EffectPiezoelectric effect: Piezoelectric Effect

Implementation Method 2

A nonlinearity of structural mechanics, buckling, and singular phenomenon can produce an order-of-magnitude larger effective strain amplification in a single stage

Methodology Applied
Scientific EffectBuckling:

Implementation Method 3

a first rotational joint rigidly coupling one end of the first input linear actuator to a common ground, a second rotational joint rigidly coupling one end of the second input linear actuator to the common ground

Methodology Applied
Scientific EffectMechanical coupling:

Data Source

PatentUS8593035B2Phased array buckling actuator
Publication Date: 2013.11.26 MASSACHUSETTS INST OF TECH
  • US8593035B2 patent drawing
  • US8593035B2 patent drawing
  • US8593035B2 patent drawing

AI summary

A harmonic buckling actuator includes buckling units engaged to a rotational track/gear. Each buckling unit includes two input actuators. One end of each input actuator is constrained to rotate about a rotational joint that is rigidly attached to a common ground. The other end of each input actuator is constrained to move with the other actuator of the same buckling unit along a single output axis via another rotational joint that is the output of the buckling unit. The inactivated, unforced configuration of each buckling unit is such that the input actuators are nearly collinear with the line segment connecting the unit's grounded rotational joints. The buckling units are arrayed around the track/gear such that their outputs are spatially phased within the groves of the track/gear. Harmonic activation of the buckling units generates torque on the track/gear about its output axis.