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Machines
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Advances in Dynamic Analysis of Multibody Mechanical Systems
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Advances in Dynamic Analysis of Multibody Mechanical Systems

A special issue of Machines (ISSN 2075-1702). This special issue belongs to the section "Robotics, Mechatronics and Intelligent Machines".

Deadline for manuscript submissions: closed (28 February 2026) | Viewed by 3340

Special Issue Editors

Dr. Pietro Davide Maddio

E-Mail Website
Guest Editor
Department of Civil Engineering and Architecture (DICAR), University of Catania, 95125 Catania, Italy
Interests: mechatronics; robotics; deployable structures; multibody mechanical systems
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Rosario Sinatra

E-Mail Website
Guest Editor
Department of Civil Engineering and Architecture, University of Catania, Via Santa Sofia 64, 95125 Catania, Italy
Interests: analysis, synthesis and optimization of mechanical systems; kinematics; dynamics and design of serial and parallel robots; multi-body dynamics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue aims to explore the latest advancements in the modeling, simulation, and dynamic analysis of multibody mechanical systems. These systems, composed of multiple interconnected bodies interacting through joints and external forces, find applications in a wide range of fields, from automotive to aerospace and robotics to biomechanics. In particular, it will focus on theoretical and practical developments that enhance the understanding of complex dynamic behaviors, with particular attention to innovative numerical approaches, optimization methods, and advanced control techniques. Studies addressing topics such as nonlinear dynamics, system stability, and real-time simulation will be of special interest. Contributions that demonstrate the application of these advancements in real-world scenarios, highlighting improvements in efficiency, accuracy, and computational performance, are highly encouraged.

Researchers, engineers, and innovators are encouraged to contribute original research articles, case studies, and reviews that enhance our understanding of the dynamic analysis of multibody mechanical systems, providing new insights and advancing the field.

Dr. Pietro Davide Maddio
Prof. Rosario Sinatra
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Machines is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • multibody dynamics
  • nonlinear dynamics
  • system stability
  • numerical simulation
  • vibration analysis

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

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Research

22 pages, 3765 KB  
Article
Vibration Characteristics of the Gear–Rotor-Bearing Transmission System Under External Impacts
by Wenbing Tu, Guangya Zhao, Dengliang Hu, Chaodong Zhang, Zhaoping Tang and Wennian Yu
Machines 2026, 14(3), 293; https://doi.org/10.3390/machines14030293 - 4 Mar 2026
Cited by 1 | Viewed by 556
Abstract
Many industrial machines inevitably suffer from external impacts which can change the meshing state of gears and thus affect the vibration characteristics of the gear transmission system. Previous studies mostly directly applied external impact excitation to the gear pair, with few considering the [...] Read more.
Many industrial machines inevitably suffer from external impacts which can change the meshing state of gears and thus affect the vibration characteristics of the gear transmission system. Previous studies mostly directly applied external impact excitation to the gear pair, with few considering the gear–shaft-bearing system. In reality, external impact excitation first acts on the bearing ends and then is transmitted to the gear ends through the transmission shaft. Therefore, the paper established a bending–torsion coupled dynamic model of the gear–shaft-bearing transmission system, taking into account external impacts, gear eccentricity, time-varying meshing stiffness, transmission error, shafts elastic deformation and nonlinear reactions forces. The vibration characteristics of the bending–torsion coupled gear–shaft-bearing transmission system under external impacts were analyzed in the time and frequency domains. Additionally, the effects of impact load amplitude and impact duration on gear vibration characteristics were investigated. External impacts instantaneously amplified the vibrational energy of the gear pair, which promotes the generation of impact components and increases the vibration acceleration signal amplitude in the time domain. Distinct sidebands emerge in the frequency domain, with meshing impacts intensified during gear operation. Furthermore, as the impact load amplitude increases and the impact duration is shortened, the vibration characteristics of the gear transmission system become more pronounced. The findings provide important theoretical insights and practical engineering significance for improving the reliability and service life of gear transmission systems. Full article
(This article belongs to the Special Issue Advances in Dynamic Analysis of Multibody Mechanical Systems)
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29 pages, 4508 KB  
Article
Closed-Form Dynamic Analysis of a Novel Planar TTR Manipulator Based on Virtual Work and Hamiltonian Mechanics
by Mahsa Hejazian, Ahad Zare Jond, Siamak Pedrammehr and Kais I. Abdul-Lateef Al-Abdullah
Machines 2026, 14(2), 220; https://doi.org/10.3390/machines14020220 - 12 Feb 2026
Viewed by 352
Abstract
This study presents the modeling, analysis, and control of a novel planar three-degrees-of-freedom TTR (Translational–Translational–Rotational) mechanism. A comprehensive kinematic and dynamic formulation is developed, with the governing equations derived analytically using the principles of virtual work and Hamiltonian mechanics. Due to the nonlinear [...] Read more.
This study presents the modeling, analysis, and control of a novel planar three-degrees-of-freedom TTR (Translational–Translational–Rotational) mechanism. A comprehensive kinematic and dynamic formulation is developed, with the governing equations derived analytically using the principles of virtual work and Hamiltonian mechanics. Due to the nonlinear nature of the inverse kinematics, a numerical solution based on the modified Newton–Raphson method is employed to compute joint trajectories. To ensure robust trajectory tracking in the presence of modeling uncertainties and external disturbances, a sliding-mode control strategy is designed and implemented. The proposed approach is evaluated through numerical simulations and experiments conducted on a custom-built prototype. Quantitative performance metrics, including mean squared error, are used to assess tracking accuracy and to compare simulation and experimental results. The consistency between analytical modeling, numerical solutions, and experimental observations demonstrates the feasibility of the proposed framework for planar robotic motion control applications. Full article
(This article belongs to the Special Issue Advances in Dynamic Analysis of Multibody Mechanical Systems)
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28 pages, 8860 KB  
Article
Active Torsional Vibration Suppression Strategy for Power-Split-HEV Driveline System Based on Dual-Loop Control
by Wei Zhang, Xiaocong Liang, Zhengda Han, Lei Bu, Jingang Liu, Bing Fu and Mozhang Jiang
Machines 2025, 13(5), 418; https://doi.org/10.3390/machines13050418 - 15 May 2025
Viewed by 1680
Abstract
Power-split hybrid electric vehicles (power-split-HEVs) exhibit significant engine torque fluctuations due to their mechanical coupling with the driveline, leading to pronounced torsional vibration issues in the drive shaft. This study investigates an active torsional vibration suppression strategy based on drive motor control. First, [...] Read more.
Power-split hybrid electric vehicles (power-split-HEVs) exhibit significant engine torque fluctuations due to their mechanical coupling with the driveline, leading to pronounced torsional vibration issues in the drive shaft. This study investigates an active torsional vibration suppression strategy based on drive motor control. First, a dynamic model of the power-split-HEV driveline is established, and its intrinsic characteristics are analyzed. Subsequently, an engine excitation torque model is developed to identify the dominant response orders, while a vehicle dynamics model is constructed to elucidate the torsional vibration mechanisms in both hybrid and pure electric driving modes. Next, a torsional vibration feedback control framework is proposed, utilizing the electric motor as a secondary-channel torque disturbance compensator. Furthermore, a novel frequency-decoupled dual-loop control framework is proposed, with rigorous derivation of the sufficient conditions for decoupling. Based on this framework, two distinct vibration suppression algorithms are developed for the secondary-loop controller, each tailored for specific operational modes. Finally, the proposed algorithms are validated through simulation and hardware-in-the-loop (HIL) testing. The results demonstrate a torque fluctuation suppression ratio of up to 72.2%, confirming that the active suppression algorithm effectively mitigates driveline torsional vibration induced by engine harmonic torque disturbances. Full article
(This article belongs to the Special Issue Advances in Dynamic Analysis of Multibody Mechanical Systems)
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