Variable Stiffness Mechanism Using Mode-3 Buckling Beams

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Solution Overview

Problem

Conventional negative stiffness mechanisms are limited to two states and cannot switch or change between multiple negative stiffness states, restricting their ability to exhibit multiple values of negative stiffness, which is essential for applications like vibration isolation and shock mitigation.

Innovation Solution

The introduction of a variable stiffness structure comprising mode-3 buckling beams with an actuator system that allows for the controlled buckling and unbuckling of negative stiffness elements, enabling the system to switch between multiple negative stiffness states by using a cam with non-sinusoidal or irregular cam surfaces to compress or relax the elements.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If higher-order mode buckled beams are used to achieve high isolation travel and nearly linear negative stiffness, then the negative stiffness is stable, but the ability to change the negative stiffness and create multiple states is limited

Engineering Contradiction:
Improvestability of negative stiffnessVSAvoidability to switch between multiple negative stiffness states
Core Design Contradiction:
ReliabilityVSAdaptability or versatility

Solution Approach 1:

The system divides the negative stiffness mechanism into multiple independent first-order beam elements that can be individually controlled. Each beam can be independently buckled or unbuckled, allowing the system to achieve multiple discrete negative stiffness states by selectively activating different combinations of beams, rather than relying on a single higher-order mode beam that is limited to one state.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The system transitions from a static higher-order mode beam configuration to a dynamic system where first-order beams can be actively controlled between buckled and unbuckled states. This dynamic control enables real-time adjustment of negative stiffness values, allowing the mechanism to adapt between multiple states based on operational requirements.

Inventive Principle:
Principle #15Dynamics

2Device complexity

If conventional negative stiffness mechanisms are designed with fixed beam configurations, then the structure is simple, but the mechanism is limited to at most two states and cannot switch between multiple negative stiffness values

Engineering Contradiction:
Improvestructural simplicityVSAvoidnumber of switchable negative stiffness states
Core Design Contradiction:
Device complexityVSAdaptability or versatility

Solution Approach 1:

The mechanism is segmented into multiple independent first-order beam elements, each capable of being individually controlled. This segmentation allows the system to achieve multiple negative stiffness states through selective activation of different beam combinations, expanding functionality while maintaining relatively simple individual component designs.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The system uses universal first-order beam elements that can serve multiple functions - each beam can contribute to negative stiffness when buckled or provide positive stiffness when unbuckled. By selectively controlling different combinations of these universal elements, the system achieves multiple negative stiffness states without requiring complex specialized structures for each state.

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

3Adaptability or versatility

If first-order beam bending is used instead of higher-order mode buckling, then the ability to create adjustable positive spring component improves, but the negative stiffness characteristics become less stable

Engineering Contradiction:
Improveadjustability of spring componentVSAvoidstability of negative stiffness
Core Design Contradiction:
Adaptability or versatilityVSReliability

Solution Approach 1:

The system merges multiple first-order beam elements into a unified negative stiffness mechanism. By combining the effects of multiple beams that can be independently controlled, the system achieves both the adaptability of first-order bending and enhanced stability through the cumulative effect of multiple elements working together to provide consistent negative stiffness characteristics.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The system changes the operational parameters of first-order beams by controlling their buckling state through applied loads. By adjusting the compression force on each beam, the system can transition between buckled and unbuckled states, thereby changing the overall stiffness characteristics while maintaining the stability benefits of first-order beam theory.

Inventive Principle:
Principle #35Parameter changes

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 solution allows for adjustable negative stiffness responses, enhancing the system's ability to isolate vibrations and mitigate shocks by enabling discrete changes in stiffness, reducing power and energy requirements compared to fully active systems.

Implementation Method 1

mode-3 buckling beams with an actuator system that allows for the controlled buckling and unbuckling of negative stiffness elements

Methodology Applied
Scientific EffectElastic deformation: Elasticity

Implementation Method 2

an actuator operatively coupled to ends of the first and second negative stiffness elements to control a stiffness of the variable stiffness structure

Methodology Applied
Scientific EffectMechanical force transmission: Mechanical Force

Data Source

PatentUS10260586B2Adjustable negative stiffness systems
Publication Date: 2019.04.16 HRL LAB
  • US10260586B2 patent drawing
  • US10260586B2 patent drawing
  • US10260586B2 patent drawing

AI summary

A variable stiffness structure includes a first negative stiffness element configured to buckle in a first direction, a second negative stiffness element configured to buckle in a second direction opposite to the first direction, and an actuator operatively coupled to ends of the first and second negative stiffness elements to control a stiffness of the variable stiffness structure. The first negative stiffness element and the second negative stiffness element are mode-3 buckling beams.