In many practical applications, unbalanced rotating machinery cause vibrations that transmit large oscillatory forces to the system foundation. Using ad hoc optimization schemes tuned isolators and absorbers have traditionally been designed to suppress system vibration levels by attempting to minimize the peak frequency response of the force/displacement transmissibility system transfer function. In this paper, we formulate the classical isolator and absorber vibration suppression problems in terms of modern system theoretic criteria involving H2 (shock response), mixed H2/H∞ (worst-case peak frequency response), and mixed H2/L1 (worst-case peak amplitude response) performance measures. In particular, using a quasi-Newton optimization method we design H2, mixed H2/H∞ and mixed H2/L1 optimally tuned isolators and absorbers for multi-degree-of-freedom vibrational systems. Finally, we compare our results to the classical Snowdon and Den Hartog absorbers.
Skip Nav Destination
Article navigation
June 1998
Technical Briefs
H2, Mixed H2/H∞ and H2/L1 Optimally Tuned Passive Isolators and Absorbers
Wassim M. Haddad,
Wassim M. Haddad
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332
Search for other works by this author on:
Ali Razavi
Ali Razavi
School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332
Search for other works by this author on:
Wassim M. Haddad
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332
Ali Razavi
School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332
J. Dyn. Sys., Meas., Control. Jun 1998, 120(2): 282-287 (6 pages)
Published Online: June 1, 1998
Article history
Received:
May 3, 1996
Revised:
January 1, 1998
Online:
December 3, 2007
Citation
Haddad, W. M., and Razavi, A. (June 1, 1998). "H2, Mixed H2/H∞ and H2/L1 Optimally Tuned Passive Isolators and Absorbers." ASME. J. Dyn. Sys., Meas., Control. June 1998; 120(2): 282–287. https://doi.org/10.1115/1.2802420
Download citation file:
Get Email Alerts
Cited By
Offset-Free Koopman Model Predictive Control of Thermal Comfort Regulation for A VRF-DOAS Combined System
J. Dyn. Sys., Meas., Control
Rejection of Sinusoidal Disturbances With Unknown Slowly Time-Varying Frequencies for Linear Time-Varying Systems
J. Dyn. Sys., Meas., Control (July 2024)
Using Control Barrier Functions to Incorporate Observability: Application to Range-Based Target Tracking
J. Dyn. Sys., Meas., Control (July 2024)
Gas Path Fault Diagnosis of Turboshaft Engine Based on Novel Transfer Learning Methods
J. Dyn. Sys., Meas., Control (May 2024)
Related Articles
Simultaneous Optimization of Structure and Control for Vibration Suppression
J. Vib. Acoust (April,1999)
Optimal Vibration Suppression of Timoshenko Beam With Tuned-Mass-Damper Using Finite Element Method
J. Vib. Acoust (June,2009)
Control System Design for Active Lubrication With Theoretical and Experimental Examples
J. Eng. Gas Turbines Power (January,2003)
A Robust Delayed Resonator Construction Using Amplifying Mechanism
J. Vib. Acoust (February,2023)
Related Proceedings Papers
Related Chapters
Graphical Methods for Control Systems
Introduction to Dynamics and Control in Mechanical Engineering Systems
Introduction
Axial-Flow Compressors
Introduction I: Role of Engineering Science
Fundamentals of heat Engines: Reciprocating and Gas Turbine Internal Combustion Engines