Analysis of direct and inverse problems on transverse vibrations of a supported shaft

Сафина, Г. Ф.

doi:10.1134/s106183091004008x

Cited by 5 publications

(3 citation statements)

References 1 publication

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“…Shi et al (2010) studied the shafting alignment under hull deformations. Safina (2010) and Zhu et al (2012) investigated the transverse vibration of different shafting systems. Murawski and Charchalis (2014) proposed 2 simplified methods to analyze the torsional vibration characteristics of shafting systems.…”

Section: Introductionmentioning

confidence: 99%

Transverse forced nonlinear vibration analysis of a double-beam system with a supporting nonlinearity

Zhao

et al. 2022

Journal of Vibration and Control

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To exploit the potential application of supporting nonlinearity in marine engineering, an attempt is made to establish the transverse forced vibration analysis model of a double-beam system supported by a spring-mass system that is nonlinear. This kind of vibration system consists of two beam sections, boundary supports, a coupling component, and a nonlinear spring-mass arrangement. The variational approach and the generalized Hamiltonian concept are used to develop the governing equations of such a double-beam system. The Galerkin truncation method (GTM) is a technique for obtaining the governing equations’ residual equations. By solving the associated residual equations numerically, the nonlinear responses of the double-beam system can be figured out. The GTM has good solidity and correctness in the prediction of the vibration system’s forced transverse vibration. The dynamic responses of the double-beam structure supported by a spring-mass system that is nonlinear are subtle to their initial calculation values. Appropriate parameters of the nonlinear support will subdue the level of vibration at the boundary of the double-beam system. In contrast, unsuitable parameters of the nonlinear support motivate complex dynamic responses of the double-beam system and harmfully influence the vibration repression at the boundary of the vibration system.

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Section: Introductionmentioning

confidence: 99%

Transverse forced nonlinear vibration analysis of a double-beam system with a supporting nonlinearity

Zhao

et al. 2022

Journal of Vibration and Control

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“…Although a lot of investigation has been carried out on the vibration characteristics of ship propulsion shafting, most of the bearing support is mainly simplified as point support [12,13]. With the aim to achieve a more accurate treatment of bearing support, vibration characteristics modeling of a partially supported beam was carried out by Eisenbegrer et al [14] and Kushner et al [15].…”

Section: Introductionmentioning

confidence: 99%

Vibration Characteristics and Power Flow Analyses of a Ship Propulsion Shafting System with General Support and Thrust Loading

Tian

2020

Shock and Vibration

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In this paper, flexural vibration and power flow transmission of a ship propulsion shafting structure are analyzed via energy principle description in conjunction with Rayleigh–Ritz procedure, in which the shafting vibration displacement is constructed as a superposition of Fourier series and boundary-smoothing supplementary functions. Effect of the distributed bearing support and thrust loading of propulsion shafting system is considered in terms of potential energy of system Lagrangian. Numerical examples are presented to demonstrate the reliability and effectiveness of the established model by comparing results with those from finite element method. Results show that the current model can deal with the vibration analysis of ship propulsion shafting with thrust loading and distributed bearing very well. Influence of boundary restraints, stiffness of distributed bearings, and thrust loading on vibration characteristics of ship shafting system is studied and addressed. Numerical study on power flow analysis is also conducted to investigate the characteristics of vibrational energy transmission in such practical structure. Results show that the stiffness of spatial bearing support has significant influence on vibrational energy transmission and thrust force will greatly affect the total input power into such structure.

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“…Among all, micro-channel heater/evaporators for thermal phase-change actuators have been presented in [20]; a PM-PCF vibration sensor for structural health monitoring of composite is presented in [21]; the inverse mode problem with application to structural health monitoring is addressed in [22] by a discretization approach, in [23] by a quadratic inverse eigenvalue approach, and in [24] by a variational approach. Additional works proposing methods to tackle nonlinear inverse problems in vibrations are [25][26][27]. An inverse vibrations problem to monitor and inspect the structural integrity of multi-story building is formulated in [28], whereas an experimental approach based on vibration measurements is presented in [29] for crack identification in structural members.…”

Section: Introductionmentioning

confidence: 99%

Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

Fattahi

Spinello

2015

Sensing and Bio-Sensing Research

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a b s t r a c tWe present a sensor model comprised of a Timoshenko beam coupled with a linear viscoelastic substrate via a distributed system of compliant elements. The system of governing equations includes the evolution of the kinematic descriptors of the Timoshenko beam and of the interface between the coupling elements and the viscoelastic substrate. This model is used to pose an inverse problem aimed at estimating the constitutive parameters of the substrate from deformation measurements of the beam. The sensing model is demonstrated by comparing its prediction with published experimentally obtained constitutive parameters identifying standard linear viscoelastic material models, showing good agreement between model estimations and experimental results.

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Analysis of direct and inverse problems on transverse vibrations of a supported shaft

Cited by 5 publications

References 1 publication

Transverse forced nonlinear vibration analysis of a double-beam system with a supporting nonlinearity

Transverse forced nonlinear vibration analysis of a double-beam system with a supporting nonlinearity

Vibration Characteristics and Power Flow Analyses of a Ship Propulsion Shafting System with General Support and Thrust Loading

Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

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