Explicit, closed-form, exact analytical expressions are derived for the covariance kernels of a multi degrees-of-freedom (MDOF) system with arbitrary amounts of viscous damping (not necessarily proportional-type), that is equipped with one or more auxiliary mass damper-inerters placed at arbitrary location(s) within the system. The “inerter” is a device that imparts additional inertia to the vibration damper, hence magnifying its effectiveness without a significant damper mass addition. The MDOF system is subjected to nonstationary stochastic excitation consisting of modulated white noise. Results of the analysis are used to determine the dependence of the time-varying mean-square response of the primary MDOF system on the key system parameters such as primary system damping, auxiliary damper mass ratio, location of the damper-inerter, inerter mass ratio, inerter node choices, tuning of the coupling between the damper-inerter and the primary system, and the excitation envelope function. Results of the analysis are used to determine the dependence of the peak transient mean-square response of the system on the damper/inerter tuning parameters, and the shape of the deterministic intensity function. It is shown that, under favorable dynamic environments, a properly designed auxiliary damper, encompassing an inerter with a sizable mass ratio, can significantly attenuate the response of the primary system to broad band excitations; however, the dimensionless “rise-time” of the nonstationary excitation substantially reduces the effectiveness of such a class of devices (even when optimally tuned) in attenuating the peak dynamic response of the primary system.
Skip Nav Destination
Article navigation
October 2017
Research-Article
Transient Response of MDOF Systems With Inerters to Nonstationary Stochastic Excitation
Sami F. Masri,
Sami F. Masri
Viterbi School of Engineering,
University of Southern California,
Los Angeles, CA 90089-2531
e-mail: masri@usc.edu
University of Southern California,
Los Angeles, CA 90089-2531
e-mail: masri@usc.edu
Search for other works by this author on:
John P. Caffrey,
John P. Caffrey
Viterbi School of Engineering,
University of Southern California,
Los Angeles, CA 90089-2531
University of Southern California,
Los Angeles, CA 90089-2531
Search for other works by this author on:
Hui Li
Hui Li
School of Civil Engineering,
Harbin Institute of Technology,
Harbin 150090, China
e-mail: lihui@hit.edu.cn
Harbin Institute of Technology,
Harbin 150090, China
e-mail: lihui@hit.edu.cn
Search for other works by this author on:
Sami F. Masri
Viterbi School of Engineering,
University of Southern California,
Los Angeles, CA 90089-2531
e-mail: masri@usc.edu
University of Southern California,
Los Angeles, CA 90089-2531
e-mail: masri@usc.edu
John P. Caffrey
Viterbi School of Engineering,
University of Southern California,
Los Angeles, CA 90089-2531
University of Southern California,
Los Angeles, CA 90089-2531
Hui Li
School of Civil Engineering,
Harbin Institute of Technology,
Harbin 150090, China
e-mail: lihui@hit.edu.cn
Harbin Institute of Technology,
Harbin 150090, China
e-mail: lihui@hit.edu.cn
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 29, 2017; final manuscript received August 2, 2017; published online August 21, 2017. Assoc. Editor: Walter Lacarbonara.
J. Appl. Mech. Oct 2017, 84(10): 101003 (13 pages)
Published Online: August 21, 2017
Article history
Received:
May 29, 2017
Revised:
August 2, 2017
Citation
Masri, S. F., Caffrey, J. P., and Li, H. (August 21, 2017). "Transient Response of MDOF Systems With Inerters to Nonstationary Stochastic Excitation." ASME. J. Appl. Mech. October 2017; 84(10): 101003. https://doi.org/10.1115/1.4037551
Download citation file:
Get Email Alerts
Sound Mitigation by Metamaterials With Low-Transmission Flat Band
J. Appl. Mech (January 2025)
Deformation-Dependent Effective Vascular Permeability of a Biological Tissue Containing Parallel Microvessels
J. Appl. Mech (January 2025)
Mechanics of a Tunable Bistable Metamaterial With Shape Memory Polymer
J. Appl. Mech (January 2025)
Related Articles
Transient Response of a SDOF System With an Inerter to Nonstationary Stochastic Excitation
J. Appl. Mech (April,2017)
Emergence of Exceptional Points in Periodic Metastructures With Hidden Parity-Time Symmetric Defects
J. Appl. Mech (December,2022)
Dynamic Modeling of a Sliding Ring on an Elastic Rod With Incremental Potential Formulation
J. Appl. Mech (August,2024)
Dynamical Analysis and Realization of an Adaptive Isolator
J. Appl. Mech (January,2018)
Related Proceedings Papers
Related Chapters
Engineering Design about Electro-Hydraulic Intelligent Control System of Multi Axle Vehicle Suspension
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Smart Semi-Active Control of Floor-Isolated Structures
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
Stability and Range
Design and Analysis of Centrifugal Compressors