Relevant bibliographies by topics / Vibrating particle system

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Vibrating particle system'

Author: Grafiati
Published: 4 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Vibrating particle system"

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Yang, Huarui, and Xuedong Ma. "Research on the screening mechanisms of composite vibrating screens based on discrete elements." PLOS ONE 18, no. 10 (2023): e0293205. http://dx.doi.org/10.1371/journal.pone.0293205.

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To strengthen the screening efficiency of traditional vibrating screens, a new type of vibrating screen, namely the composite vibrating screen, has been proposed based on the Lissajous vibration synthesis theory. The working principles of composite vibrating screens have been explained. Numerical simulations of the sieving processes for such composite vibrating screens were carried out using the discrete element method. Compared with traditional linear vibrating screens, the force, stratification mechanisms, and throwing principles of the material on the screen’s surface were studied, and the
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Boyd, J. N., R. G. Hudepohl, and P. N. Raychowdhury. "Breaking the symmetry of a circular system of coupled harmonic oscillators." International Journal of Mathematics and Mathematical Sciences 29, no. 11 (2002): 665–74. http://dx.doi.org/10.1155/s0161171202006014.

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First we compute the natural frequencies of vibration of four identical particles coupled by ideal, massless harmonic springs. The four particles are constrained to move on a fixed circle. The initial computations are simplified by a transformation to symmetry coordinates. Then the symmetry of the vibrating system is broken by changing the mass of a single particle by a very small amount. We observe the effect of applying the symmetry transformation to the now slightly nonsymmetric system. We compute the new frequencies and compare them with the frequencies of the original symmetric system of
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Inoue, Masanobu, Isao Yokomichi, and Koju Hiraki. "Particle Damping with Granular Materials for Multi Degree of Freedom System." Shock and Vibration 18, no. 1-2 (2011): 245–56. http://dx.doi.org/10.1155/2011/309682.

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A particle damper consists of a bed of granular materials moving in cavities within a multi degree-of-freedom (MDOF) structure. This paper deals with the damping effects on forced vibrations of a MDOF structure provided with the vertical particle dampers. In the analysis, the particle bed is assumed to be a single mass, and the collisions between the granules and the cavities are completely inelastic, i.e., all energy dissipation mechanisms are wrapped into zero coefficient of restitution. To predict the particle damping effect, equations of motion are developed in terms of equivalent single d
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Andrade, Jéssica Cristiane, Fran Sérgio Lobato, Gustavo Barbosa Libotte, and Gustavo Mendes Platt. "Multi-objective optimization of vibrating particle systems applied to engineering system design." Ciência e Natura 46, esp. 1 (2024): e86556. http://dx.doi.org/10.5902/2179460x86556.

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The design of systems constitutes one of the most important pillars in engineering, in which it is desired to reduce costs, minimize time and resources, and guarantee the quality, efficiency, and safety of products. In recent decades, numerous population-based algorithms have been employed for this purpose. Among these, we can cite a new heuristic approach, the Vibrating Particles System (VPS) algorithm. This is based on simulating the free vibration of systems with one degree of freedom and viscous damping. The present work aims to extend the VPS to a multi-objective context. The results obta
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Li, Zhanfu, Xin Tong, Huihuang Xia, and Luojian Yu. "A study of particles looseness in screening process of a linear vibrating screen." Journal of Vibroengineering 18, no. 2 (2016): 671–81. http://dx.doi.org/10.21595/jve.2016.16563.

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We investigated the movement of particles in screening process over the sieve plate of a linear vibrating screen using the Discrete Element Method (DEM). The behavior of particles which is affected by a series of vibrational parameters including amplitude, frequency and vibration direction angle determining screening performance. This paper centers on particles looseness by analyzing the looseness coefficient and looseness rate. The relationships between the looseness coefficient, looseness rate and vibration parameters were profoundly discussed. Mathematical models relating looseness coeffici
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Żurawski, Mateusz, and Robert Zalewski. "Damping of Beam Vibrations Using Tuned Particles Impact Damper." Applied Sciences 10, no. 18 (2020): 6334. http://dx.doi.org/10.3390/app10186334.

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The presented paper reveals an innovative device which is the Tuned Particle Impact Damper (TPID). The damper enables the user change the dynamical features of the vibrating system thanks to rapidly tuning the volume of the container where the grains are locked. The effectiveness of proposed semi-active damping methodology was confirmed in experiments on vibrations of a cantilever beam excited by kinematic rule. Various damping characteristics captured for different volumes of the grains container and mass of granular material are presented. It is confirmed that the proposed TPID device allowe
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Zhao, Yue Jing, and Zhi Ying Qin. "Numerical Simulation of Vibration Sieve Based on DEM." Advanced Materials Research 482-484 (February 2012): 1358–61. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.1358.

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Vibrating sieve is a special kind of equipment which used to grading materials according to particle granularity. By the vibration acted on the sieve, the materials are loosed, are divided into layers, are transported and are permeated the sieve to screen the materials. Discrete Element Method (DEM) has been an effective numerical method to research the granule system motion. Using Particle Flow Code (PFC) based DEM, the screening process, the particle group motions on the screen, are simulated. How the amplitude, the frequency of vibration, the vibration direction angle, the decline degree of
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LAPSHIN, Vladimir, Nina NEMCHINOVA, and Victor MYAZIN. "Mathematical model for ore particles movement along the vibrating table of a separator." Sustainable Development of Mountain Territories 15, no. 1 (2023): 197–206. http://dx.doi.org/10.21177/1998-4502-2023-15-1-197-206.

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Introduction. One of the vibration methods for processing loose finely dispersed mineral raw materials is the separation method on a vibrating surface. Separation occurs according to size, shape of particles, coefficient of friction, elasticity and other mechanical parameters of particles. The efficiency of the separation process depends on the correct choice of technological characteristics of the working equipment. To solve such problems, mechano-rheological models are widely used. The issues of rational construction of research models, based on the specific conditions of the considered dyna
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Wang, Peng, and Yi Qun Du. "Research on a Co-Vibrating Vector Hydrophone with Central Fixed Structure." Advanced Materials Research 346 (September 2011): 835–41. http://dx.doi.org/10.4028/www.scientific.net/amr.346.835.

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Suspension system of a co-vibrating vector hydrophone need be designed carefully to reach the requirement of underwater acoustic measurement. Condition of vibration sensing of co-vibrating vector hydrophone is researched separately based on acoustic theory and mechanical vibration theory. A co-vibrating vector hydrophone with central fixed structure had been analyzed. The simplified model and equivalent circuit model of the proposed design were built for the analysis. The voltage response of the hydrophone to acoustic particle velocity is derived, and improvement of voltage sensitivity based o
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Li, Li, Yong Qing Gu, Wei Zhang, Mei Ying Qiao, and Hong Shen. "Study on the Controlling System of Particle Materials Separating Device." Advanced Materials Research 204-210 (February 2011): 895–98. http://dx.doi.org/10.4028/www.scientific.net/amr.204-210.895.

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The present thesis proposes the controlling program to separate the particle materials by making use of low-frequency ultrasonic wave, and elaborates the design of system circuit controlling the ultrasonic vibrating sieve. The ATMEGA16 SCM carries a series of functions into effect, such as, regulating the operating frequency of vibrating sieve, adjusting the power, protecting the circuit security and displaying the system parameter and so on, which raises the frequency stability and anti-jamming capability of the system so that it can be applied in places like coal mines, smelting works and co
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Dissertations / Theses on the topic "Vibrating particle system"

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Hall, Eric K. "A study of slender beams: finite deformations, chaotic vibrations, and active control." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/12919.

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Li, Xiaodong. "Observation et commande de quelques systèmes à paramètres distribués." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00456850.

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L'objectif principal de cette thèse consiste à étudier plusieurs thématiques : l'étude de l'observation et la commande d'un système de structure flexible et l'étude de la stabilité asymptotique d'un système d'échangeurs thermiques. Ce travail s'inscrit dans le domaine du contrôle des systèmes décrits par des équations aux dérivées partielles (EDP). On s'intéresse au système du corps-poutre en rotation dont la dynamique est physiquement non mesurable. On présente un observateur du type Luenberger de dimension infinie exponentiellement convergent afin d'estimer les variables d'état. L'observateu
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Li, Qi. "Acoustic noise emitted from overhead line conductors." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/acoustic-noise-emitted-from-overhead-line-conductors(90a5c23c-a7fc-4230-bbab-16b8737b2af2).html.

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The developments of new types of conductors and increase of voltage level have driven the need to carry out research on evaluating overhead line acoustic noise. The surface potential gradient of a conductor is a critical design parameter for planning overhead lines, as it determines the level of corona loss (CL), radio interference (RI), and audible noise (AN). The majority of existing models for surface gradient calculation are based on analytical methods which restrict their application in simulating complex surface geometries. This thesis proposes a novel method which utilizes both analytic
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Lin, Yao-tang, and 林耀堂. "A novel tool system for ultrasonic vibration grinding of nano particles." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/75977059471229976650.

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碩士<br>國立中興大學<br>精密工程學系所<br>97<br>In this thesis, a piezoelectric actuator is used to generate ultrasonic vibration for nano-grinding. The actuator includes a piezoceramic Langevin transducer, a displacement amplification horn, a tool attached to one end of the horn for grinding. The working frequency of the transducer is 15 kHz. This study first conducts a series of simulation for the design and analysis of the displacement amplification horn and grinding tool of a nano-grinding machine. The machine is then fabricated and a series of experiments for nano-particle grinding are carried out .
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Li, Jhen-Yun, and 李珍鋆. "Establishment of Dynamic Model and Vibration-Suppression Measurement Experiment for a Gear Transmission System Containing Damping Particles." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/kq5rbw.

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碩士<br>國立中央大學<br>機械工程學系<br>107<br>As is known, adding the damping particles in the gear transmission system can effectively suppress vibration during the operation process, because vibration energy is dissipated through the damping mechanism of particle collision and friction. This study has established a dynamic model for a gear transmission system containing damping particles, based on the two-way coupling of multi-body dynamics (MBD) and discrete element method (DEM). The translational acceleration of output shaft is analyzed to evaluate the effectiveness of vibration suppression for a gear
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Lan, Shih-Cheng, and 藍仕成. "A Study of Vibration Suppression in a Gear-bearing System with Damping Particles Based on Multi-body Dynamics and Discrete Element Method." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/4sfa8z.

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碩士<br>國立中央大學<br>機械工程學系<br>106<br>To establish the multi-body dynamics (MBD) model of a gear transmission system for studying its dynamic characteristics is always an important issue in the engineering field. In recent years, the discrete element method (DEM) has been widely applied on solving problems that traditional continuum mechanics cannot solve, while the utilization of damping particles to reduce vibration in the mechanical system is one application of them. However, the related research of MBD-DEM coupling analysis is still rare so far. Therefore, this study established the dynamic cha
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Books on the topic "Vibrating particle system"

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Zohdi, Tarek I. Dynamics of Charged Particulate Systems: Modeling, Theory and Computation. Springer Berlin Heidelberg, 2012.

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Vakakis, Alexander F. Normal Modes and Localization in Nonlinear Systems. Springer Netherlands, 2001.

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Trautmann, Lutz. Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method. Springer US, 2003.

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Smith, Ralph C. A Galerkin method for linear PDE systems in circular geometries with structural acoustic applications. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Institute for Computer Applications in Science and Engineering., ed. A Galerkin method for linear PDE systems in circular geometries with structural acoustic applications. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Gruntovich, Nadezhda. Technical diagnostics of electrical equipment. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1891041.

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The textbook presents a modified theory of vibration diagnostics of rolling bearings. The methods of technical diagnostics of electrical equipment insulation without high-voltage tests are given. The physical nature of the electric arc inside the tank of an oil-filled transformer is revealed for the first time. The methods of complex technical diagnostics of electric motors and power oil-filled transformers are described. Expert systems of technical diagnostics of electrical equipment are considered. Conditions of damage to cables by partial discharges are revealed.&#x0D; Meets the requirement
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Dao, Nguyen. IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems: Proceedings of the IUTAM Symposium held in Hanoi, Vietnam, March 2-5, 1999. Springer Netherlands, 2000.

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Joachim, Peinke, Talamelli Alessandro, Castillo Luciano, Hölling Michael, and SpringerLink (Online service), eds. Progress in Turbulence and Wind Energy IV: Proceedings of the iTi Conference in Turbulence 2010. Springer Berlin Heidelberg, 2012.

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iTi, Conference in Turbulence (2nd 2005 Bad Zwischenahn Germany). Progress in turbulence II: Proceedings of the iTi Conference in Turbulence 2005. Springer, 2007.

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(Christian), Constanda C., ed. Stationary oscillations of elastic plates: A boundary integral equation analysis. Birkhäuser, 2011.

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Book chapters on the topic "Vibrating particle system"

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Kaveh, Ali, and Taha Bakhshpoori. "Vibrating Particles System Algorithm." In Metaheuristics: Outlines, MATLAB Codes and Examples. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04067-3_13.

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Kaveh, A. "Vibrating Particles System Algorithm." In Advances in Metaheuristic Algorithms for Optimal Design of Structures. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46173-1_17.

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Kaveh, A. "Vibrating Particles System Algorithm for Truss Optimization with Frequency Constraints." In Applications of Metaheuristic Optimization Algorithms in Civil Engineering. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-48012-1_16.

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Kaveh, Ali, and Armin Dadras Eslamlou. "Optimal Design of Steel Curved Roof Frames by Enhanced Vibrating Particles System Algorithm." In Metaheuristic Optimization Algorithms in Civil Engineering: New Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45473-9_4.

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Bharath Kumar, K. R., P. Senthil Kumar, K. S. Dharaneeshwarakumar, and B. Deepak. "Particle Swarm Optimization Tuned Fuzzy Controller for Vibration Control of Active Suspension System." In Springer Proceedings in Materials. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-8319-3_13.

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Schmidt, Adam. "The Design of an Active Structural Vibration Reduction System Using a Modified Particle Swarm Optimization." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15461-4_55.

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Anam, Chairul, Abdul Rohman, Eka Mistiko Rini, and Mahros Darsin. "Design and Optimization of CNC Milling Process Based on Vibration System Detector Using Particle Swarm Optimization Algorithm Method." In Proceedings of the International Conference on Applied Science and Technology on Engineering Science 2023 (iCAST-ES 2023). Atlantis Press International BV, 2024. http://dx.doi.org/10.2991/978-94-6463-364-1_95.

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Madhusudhana, Shyam, Gianni Pavan, Lee A. Miller, et al. "Choosing Equipment for Animal Bioacoustic Research." In Exploring Animal Behavior Through Sound: Volume 1. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-97540-1_2.

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AbstractStudies of animal bioacoustics require equipment to record and analyze sounds and sometimes to play back recorded sounds. Choosing the right equipment can be a difficult task for the novice bioacoustician. In this chapter, we outline the components that make up a typical recording or playback setup, define some of the commonly used terminology for describing the instruments, and present some illustrative studies that required the use of specific types of equipment. We cover instruments used in both terrestrial and aquatic bioacoustic studies. The ensuing discussions will introduce the
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Born, Max, and Kun Huang. "Lattice Vibrations." In Dynamical Theory Of Crystal Lattices. Oxford University PressNew York, NY, 1996. http://dx.doi.org/10.1093/oso/9780192670083.003.0002.

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Abstract n classical mechanics, it is well known that when a system of particles in stable equilibrium is disturbed, the system performs certain vibrations, such that every particle remains in the neighbourhood of its equilibrium position.
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Laney, Culbert B. "Basic Properties." In Particle Dynamics with Aggregation and Fragmentation. Oxford University PressOxford, 2025. https://doi.org/10.1093/9780198920687.003.0002.

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Abstract This chapter defines four basic properties—chaos, self-organization, homogeneity, and isotropy—which typify many aggregating and fragmenting particle systems. When these four conditions apply, aggregating and fragmenting particle systems tend to exhibit universal size distributions, universal shape distributions, universal kinetic energy spectra, and so forth. This chapter discusses various factors that affect chaos, self-organization, homogeneity, and isotropy including initial and boundary conditions. In this context, the term “initial conditions” refers to the position, size, shape
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Conference papers on the topic "Vibrating particle system"

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Martin, Dana K., and Joe Van Dyke. "Integrating Vibration, Motor Current, and Wear Particle Analysis With Machine Operating State for On-Line Machinery Prognostics/Diagnostics Systems (MPROS)." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-1272.

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Abstract Integration of system process information with expert system vibration analysis to improve the accuracy of rotating machinery fault detection in on-line condition monitoring systems is the main focus of this paper. An overview of the condition based maintenance system MPROS (Machinery Prognostics/Diagnostics System) being developed for the US Navy is presented. Details are provided regarding several currently operating prototype systems installed on both shipboard and land based air conditioning plants. Finally a case study is presented which utilizes data from a prototype system to e
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Gingarasu, Mihai, Elena Mereuta, Valentin Amortila, and George Balasoiu. "SOLUTIONS FOR REDUCING THE AIR POLLUTION GENERATED BY VEHICLE." In 24th SGEM International Multidisciplinary Scientific GeoConference 24. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/4.1/s19.58.

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Reducing air pollution is a major objective of road transport, the most important consequence of this reduction being the decrease in the number of illnesses and, implicitly, a better quality of human life. To achieve this goal, researchers� efforts have been directed towards reducing the quantities and treating the exhaust gases of vehicles equipped with internal combustion engines. It is important to note that the reduction of environmental pollution must also aim at decreasing the emissions of particles that are not generated by the operation of internal combustion engines. The work aims to
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Yu, Weijia, Tobias Ehlers, Tobias Biermann, et al. "Experimental analysis of additive manufactured particle damping structures for vibration-sensitive optical systems." In Optical Measurement Systems for Industrial Inspection XIV, edited by Peter Lehmann, Wolfgang Osten, and Armando Albertazzi Gonçalves. SPIE, 2025. https://doi.org/10.1117/12.3062400.

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Modarres, Ramin, Bill Welsh, Jinggen Zhao, et al. "Low-Vibration Design of the Dragonfly Lander." In Vertical Flight Society 81st Annual Forum and Technology Display. The Vertical Flight Society, 2025. https://doi.org/10.4050/f-0081-2025-231.

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Dragonfly is a rotary-wing lander, and its mission is to explore Titan. It will make multiple flights over several years to explore different sites on Titan. There is limited information on the chemical processes that led to life on earth. Among the other places in the solar system, Titan is the most like the early earth and therefore exploring its organic surface chemistry will help to better understand our own prebiotic history. During Titan flight the rotor induced unsteady aerodynamic loads, as well as the interactional aerodynamic loads due to the rotor to rotor and rotor to lander interf
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Chen, Yen-Wen, Her-Terng Yau, Tsung-Yu Hsiao, Song-Wei Hong, Yi-Hsuan Cheng, and Yi-Ji Wang. "Optimal Design using Particle Swarm Optimization for Ropeway Carrier Passive Dynamic Vibration Absorbers." In 2024 20th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications (MESA). IEEE, 2024. http://dx.doi.org/10.1109/mesa61532.2024.10704853.

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Bapat, Siddhant, Siddharth Poreddy, Nicholas Vlajic, Richard Auhl, George Lesieutre, and Edward Smith. "Dynamic Behavior and Passive Vibration Control of a Flexible Tip-Loaded Support Arm System with Bracing Struts and Tailored Particle Impact Dampers." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1361.

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Electric Vertical Takeoff Landing (eVTOL) aircraft feature heavy electric motors, battery packs, and rigid fixed-pitch rotors supported on flexible arms. Under substantial time-varying aerodynamic loads associated with variable rotor speeds and, with low intrinsic damping, such lightweight arms respond in bending and torsion at relatively high levels. In this paper, two methods of reducing vibration response in the operating frequency range are explored, one based on damping, the other on stiffness. A tailored particle impact damper system was evaluated experimentally to address near-periodic
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Hamidzadeh, Hamid R. "Attenuation of Free Vibration Using Particle Impact Damper." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42731.

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The particle impact damper is an effective vibration damping treatment that can be used in the cases where visco-elastic constrained layer damping fails due to excessive surrounding temperature. In this type of passive damping, particles move in a container attached to the vibrating system resulting in plastic impact with the container. In the presented theoretical study, the damping characteristics of free oscillation for a vertical system with an initial displacement are considered and a governing equation for the system under free vibration with a particle damper is derived. To evaluate the
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Wu, Ping, Li Li, Yuming Huang, Lige Tong, Chuanping Liu, and Li Wang. "Influence of Air Flow on the Segregation of Binary Particle Systems Under Vertical Vibrating." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62874.

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In this paper, we investigate the influences of air flow and vibration on the separation of a binary mixture, when air velocity u is less than the minimums fluidized velocity umf (0&lt;u/umf&lt;1). By the layered extraction method, we obtain the particle distribution both in the vertical and radial direction in a cylindrical bed. 13X molecular sieve particles with diameter 2.00 mm and 4.00 mm are used. Vibration frequency f is 30 Hz and dimensionless vibration acceleration Γ is 1.02, 2.04 and 3.06. The results indicate that as air velocity increases, the granular particles system under air flo
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Albano, Jooi, Ilya Avros, Andrei Fershalov, Pieter Orlandini, Niell Elvin, and Yang Liu. "Characterization of Wake Flow Dynamics and Energy Transport in Vortex-Induced Vibration Systems: A Low Reynolds Number Investigation." In ASME 2024 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2024. https://doi.org/10.1115/imece2024-145956.

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Abstract Vortex Induced Vibration (VIV) is a phenomenon where a structure in a flowing fluid oscillates due to vortex formation and shedding. While it can cause structural fatigue, it also offers potential for sustainable energy generation. This study examines the flow behavior around an elastically mounted cylindrical bluff body in low Reynolds number (Re &amp;lt; 4000) flows to enhance the understanding and efficiency of VIV systems for novel fluidic energy harvesters. Since energy production in these systems is dominated by the amplitude of vibration, fully understanding and quantifying the
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Li, Shilong, and Jiong Tang. "Analysis and Optimal Placement of Particle Dampers Based on Discrete Element Simulation." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47700.

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Particle damper is formed by granular particles enclosed in a container which is attached to or embedded in a vibrating structure. The energy dissipation mechanism of a particle damper is highly nonlinear, and derived from a combination of collision/impact and friction among particles and between particles and the enclosure. Meanwhile, the coupling between particle dampers and the host structure and among multiple dampers further increases the difficulty to analyze the particle damping performance. In this paper, a new coupling method is developed to integrate the continuous host system with m
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