Passive and Active Approaches for the Control of Nonlinear Vibrations in Mechanical Systems

A special issue of Machines (ISSN 2075-1702). This special issue belongs to the section "Machine Design and Theory".

Deadline for manuscript submissions: 30 November 2026 | Viewed by 1297

Editors


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Guest Editor
Department of Mechanical Engineering, Universidade de Vigo, 36310 Pontevedra, Spain
Interests: control engineering; multibody dynamics and vibration control

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Guest Editor
Department of Mechanical Engineering, Universidad Carlos III de Madrid, 28911 Madrid, Spain
Interests: kinematical and dynamical systems; vibration analysis and machine learning
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Department of Mechanics, UNED, Calle Juan del Rosal, 12, 28040 Madrid, Spain
Interests: railways; condition monitoring; vibration analysis; multibody dynamics systems; FEM
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Classical control techniques such as Input Shaping and other linear strategies are traditionally designed for idealized, linear dynamic systems. However, many real-world mechanical systems present significant nonlinear behaviors, such as clearance, dry friction, and backlash, which can severely affect system performance, reduce positioning accuracy, and complicate the design of effective controllers.

This Special Issue focuses on the enhancement of Input Shaping and other linear control techniques to make them suitable for such nonlinear systems. In particular, we welcome contributions that address the following aspects:

  • Enhanced control of nonlinear systems: extending Input Shaping and feedback techniques to address friction, clearance, and driver backlash using Lyapunov and anti-delay strategies;
  • Estimation and design of new FIR filters and time-delay filters or shapers also motion command profiles adapted to systems with clearance and friction to improve the dynamic response;
  • Hybrid approaches combining Input Shaping with adaptive feedback control methods, such as Lyapunov-based Model Reference Adaptive Control (MRAC), to improve robustness under nonlinear conditions;
  • Anti-delay closed-loop Input Shaping techniques designed to improve manual control of flexible systems affected by backlash at the machine driver and other memory-dependent behaviors.
  • Experimental validations and comparative studies between physical prototypes and simulation-based multibody models.
  • Applications in industrial automation, port machinery, robotics, aerospace, or any domain where nonlinearities degrade control performance.

By bridging classical linear control design with modern nonlinear-aware strategies, this Special Issue aims to gather innovative contributions that push the boundaries of applied control in real, complex mechanical systems.

Dr. Gerardo Peláez Lourido
Dr. Higinio Rubio Alonso
Dr. Alejandro Bustos Caballero
Guest Editors

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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-anonymized 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

  • nonlinear vibrations in flexible systems
  • phase plane analysis of nonlinear effects
  • Coulomb friction and stick–slip dynamics
  • rolling friction and nonlinear damping
  • clearance and backlash in flexible systems
  • input shaping for nonlinear flexible systems
  • Model Reference Control (MRC)
  • Model Reference Adaptive Control (MRAC)
  • experimental validation and multibody simulations
  • industrial applications in cranes and transport systems

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Published Papers (2 papers)

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Research

35 pages, 3776 KB  
Article
Design of Virtual Disturbance Feedforward Controller for Motion Sickness Mitigation
by Seongjin Yim
Machines 2026, 14(5), 571; https://doi.org/10.3390/machines14050571 - 20 May 2026
Viewed by 261
Abstract
This study presents a virtual disturbance feedforward controller (VDFC) to mitigate motion sickness in vehicles equipped with active suspension systems. Because feedforward control is difficult to implement in practice owing to the limited availability of measurable or estimable road-disturbance information, a half-sine virtual [...] Read more.
This study presents a virtual disturbance feedforward controller (VDFC) to mitigate motion sickness in vehicles equipped with active suspension systems. Because feedforward control is difficult to implement in practice owing to the limited availability of measurable or estimable road-disturbance information, a half-sine virtual disturbance (HSVD) corresponding to a bump input is introduced and incorporated into the feedforward controller design. The proposed VDFC is integrated with a feedback controller developed from quarter-car and half-car models using linear quadratic static output feedback (LQ SOF) control. Furthermore, to enhance the motion-sickness-mitigation performance of the VDFC, a simulation-based optimization framework is formulated and solved using a heuristic optimization technique. Simulations with bump inputs are carried out in a vehicle dynamics simulation environment using the LQ SOF controller together with the optimized VDFCs. A sensitivity analysis is also performed for the parameters of the optimized virtual disturbance. The results indicate that, under the bump-like excitation conditions considered, the proposed method can improve ride comfort and reduce motion-sickness-related response measures. Full article
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24 pages, 5062 KB  
Article
Mechanism-Driven Forward Design Methodology and Experimental Validation of Dry Friction Dampers for Turbine Blade Vibration Control
by Qinqin Mu, Qun Yan, Chao Hang and Yonghui Chen
Machines 2026, 14(5), 479; https://doi.org/10.3390/machines14050479 - 24 Apr 2026
Viewed by 416
Abstract
To elucidate the damping mechanism of platform dry friction dampers for turbine blades and optimize their design parameters, this study establishes a two-dimensional global–local unified sliding dry friction damping model. This model comprehensively accounts for the blade’s bending-torsion coupling vibration characteristics and the [...] Read more.
To elucidate the damping mechanism of platform dry friction dampers for turbine blades and optimize their design parameters, this study establishes a two-dimensional global–local unified sliding dry friction damping model. This model comprehensively accounts for the blade’s bending-torsion coupling vibration characteristics and the dual-state behavior of the damper, encompassing both stick and slip phases. An iterative solution strategy combining finite element methods with in-house developed programs is employed to simulate the vibration response of turbine blades equipped with dampers under multiple loading conditions. The influence of normal pressure and dimensionless normal pressure on the blade’s vibration characteristics, equivalent stiffness, and equivalent damping is systematically analyzed. To validate the reliability of the simulation results, a dedicated test platform capable of independently simulating centrifugal force effects was constructed, and modal tests as well as vibration response tests were conducted. The results demonstrate that the proposed model accurately describes the nonlinear energy dissipation behavior of dry friction damping, providing a reliable theoretical basis for blade vibration response analysis. Dimensionless normal pressure is identified as a key parameter influencing vibration reduction effectiveness. The resonant amplitude of the blade exhibits a non-monotonic trend, initially decreasing and then increasing with rising dimensionless normal pressure. The optimal dimensionless normal pressure range is found to be 20–30, within which the blade vibration amplitude can be reduced by more than 50%. Experimental verification confirms that the vibration reduction and energy dissipation mechanism of the damping block aligns closely with simulation results, achieving a maximum vibration reduction of 72.6%. Moreover, the optimal dimensionless normal pressure values correspond well with simulation predictions. Based on the optimal dimensionless normal pressure, a forward design method for platform dampers is proposed, which can provide theoretical support and engineering guidance for the optimal design of vibration reduction structures in aero-engine turbine blades. Full article
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