An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System

Vibration isolation across the frequency spectrum is a challenge in many applications, particularly at low frequencies where linear oscillators amplify excitation forces. To overcome this, nonlinear high static low dynamic (HSLD) stiffness oscillators have been proposed with the aim of reducing the...

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Main Authors: Janik Habegger, Marwan Hassan, Michele Oliver
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/5/4/40
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author Janik Habegger
Marwan Hassan
Michele Oliver
author_facet Janik Habegger
Marwan Hassan
Michele Oliver
author_sort Janik Habegger
collection DOAJ
description Vibration isolation across the frequency spectrum is a challenge in many applications, particularly at low frequencies where linear oscillators amplify excitation forces. To overcome this, nonlinear high static low dynamic (HSLD) stiffness oscillators have been proposed with the aim of reducing the resonant frequency while maintaining the high load capacities of much stiffer linear systems. A two-degree of freedom (2DOF) HSLD stiffness system is proposed to investigate the effectiveness of such systems. Experiments reveal that a 2DOF non-linear HSLD stiffness system outperforms a similar single-degree of freedom (SDOF) HSLD stiffness system, as well as similar SDOF and 2DOF linear systems. Three performance criteria are used to assess these systems, including (1) minimizing the resonant frequency and maximizing the isolation zone, (2) minimizing the magnitude of amplification at resonance, and (3) maximizing the ability to isolate large input frequencies. Exact numerical and approximate analytical simulations are validated using these experimental data. A sensitivity analysis of system parameters reveals that it is necessary to incorporate adjustability into the geometry of a design to counteract unavoidable manufacturing tolerances. Changes of less than 2% to the stiffness or geometry of a system can drastically change its dynamic response.
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spelling doaj.art-b1a1d8a68a424804a44de9839b1a1ba72023-11-24T18:35:51ZengMDPI AGVibration2571-631X2022-10-015467669110.3390/vibration5040040An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness SystemJanik Habegger0Marwan Hassan1Michele Oliver2School of Engineering, University of Guelph, 50 Stone Rd. E, Guelph, ON N1G 2W1, CanadaSchool of Engineering, University of Guelph, 50 Stone Rd. E, Guelph, ON N1G 2W1, CanadaSchool of Engineering, University of Guelph, 50 Stone Rd. E, Guelph, ON N1G 2W1, CanadaVibration isolation across the frequency spectrum is a challenge in many applications, particularly at low frequencies where linear oscillators amplify excitation forces. To overcome this, nonlinear high static low dynamic (HSLD) stiffness oscillators have been proposed with the aim of reducing the resonant frequency while maintaining the high load capacities of much stiffer linear systems. A two-degree of freedom (2DOF) HSLD stiffness system is proposed to investigate the effectiveness of such systems. Experiments reveal that a 2DOF non-linear HSLD stiffness system outperforms a similar single-degree of freedom (SDOF) HSLD stiffness system, as well as similar SDOF and 2DOF linear systems. Three performance criteria are used to assess these systems, including (1) minimizing the resonant frequency and maximizing the isolation zone, (2) minimizing the magnitude of amplification at resonance, and (3) maximizing the ability to isolate large input frequencies. Exact numerical and approximate analytical simulations are validated using these experimental data. A sensitivity analysis of system parameters reveals that it is necessary to incorporate adjustability into the geometry of a design to counteract unavoidable manufacturing tolerances. Changes of less than 2% to the stiffness or geometry of a system can drastically change its dynamic response.https://www.mdpi.com/2571-631X/5/4/40vibration isolationwhole-body vibrationquasi zero stiffnesshigh static low dynamic (HSLD) stiffness oscillators
spellingShingle Janik Habegger
Marwan Hassan
Michele Oliver
An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System
Vibration
vibration isolation
whole-body vibration
quasi zero stiffness
high static low dynamic (HSLD) stiffness oscillators
title An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System
title_full An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System
title_fullStr An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System
title_full_unstemmed An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System
title_short An Experimental Investigation of the Displacement Transmissibility for a Two-Stage HSLD Stiffness System
title_sort experimental investigation of the displacement transmissibility for a two stage hsld stiffness system
topic vibration isolation
whole-body vibration
quasi zero stiffness
high static low dynamic (HSLD) stiffness oscillators
url https://www.mdpi.com/2571-631X/5/4/40
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