Identifying Bearing Rotor-Dynamic Coefficients Using an Extended Kalman Filter

Miller, B.; Howard, Samuel A.

doi:10.1080/10402000902913295

Cited by 13 publications

(7 citation statements)

References 19 publications

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“…Using a numerical technique, Adiletta et al 17 analyzed the influence of trigonometric-wave profiles on nonlinear behaviors of a rigid rotor. To estimate the linearized direct and indirect stiffness and damping force coefficients for bearings in rotor dynamic applications, Miller and Howard 18 developed an extended Kalman filter, and the directed damping coefficients and four stiffness coefficients correlated well with actual values. Using a symmetrical single-disk rotorbearing system as a model, Zhao et al 19 conducted a numerical analysis to investigate non-linear transient and unbalanced responses.…”

Section: Introductionmentioning

confidence: 99%

Influence of dissimilar radial clearances on the performance of hydrodynamic rotor-bearing systems considering misalignment effects

Cao

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part J:

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Influence of dissimilar radial clearances of the two end bearings on the performance of hydrodynamic rotor-bearing systems is investigated in the present paper. The rotor misalignment effects are considered. A parameter ξ is introduced to measure the dissimilar level and three typical applied points ( Case Left, Case Center, and Case Right) of external load are also investigated during the analysis. Finite difference method is adopted to solve the Reynolds-type equation and verification of the solution technique is conducted by comparison with previous work. The rotor equilibrium postures are solved at different dissimilar parameters ( ξ) for the three external loading situations. Results show that dissimilar radial clearances have significant effects on rotor postures, minimum film thickness, stiffness and damping coefficients. Under unbalanced load situations ( Case Right, Case Left), small values of ξ (<1.0) will alleviate and large one ξ (>1.0) will aggravate the misaligned effects. Meanwhile, the minimum film thickness increases with ξ (<1.0) and decreases with ξ (>1.0). For stiffness and damping coefficients, the variations with ξ have no obvious rules. During the design and analysis of hydrodynamic rotor-bearing systems, the dissimilarity should be considered intensively for reaching appropriate results.

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Section: Introductionmentioning

confidence: 99%

Influence of dissimilar radial clearances on the performance of hydrodynamic rotor-bearing systems considering misalignment effects

Cao

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part J:

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“…Then, for the coefficient of linear viscous friction is used γ = 55 Ns/mm, according to Eq. 7 and [24]. The excitation force amplitudes are assumed to be equal as follows:…”

Section: Numerical Solutionmentioning

confidence: 99%

Analytical and Numerical Investigation on the Duffing Oscilator Subjected to a Polyharmonic Force Excitation

Stoyanov¹

2015

Journal of Theoretical and Applied Mechanics

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Abstract. An analytical solution for a specific case of the forced Duffing oscillator is proposed. The excitation force contains two harmonics with significant difference frequencies. This case corresponds to a presence of a defect in the machinery and is in the art of the machinery vibration diagnostics. The results obtained show an amplitude modulation. Therefore, the presence of an amplitude modulation in the vibration signal may be used as an indicator for a malfunction. Analytical solution derived clarifies how the amplitude modulation occurs. Also, a numerical solution is realized and compared with the analytical one. For this, the Duffing equation is solved numerically and then, the spectrograms of vibrations are obtained through a Discrete-time Fourier Transform.

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“…EKF has been used to estimate the linearized direct and indirect stiffness and damping force coefficients for bearings in rotor-dynamic applications from noisy measurements of the shaft displacement in response to imbalance and impact excitation [10].…”

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confidence: 99%

Kalman Filter Based State Estimation for Linearized Twin Rotor System

Haider

Kazmi

Rehman

2011

2011 Frontiers of Information Technology

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In this paper, states estimation for MIMO TwinRotor System (TRS) is performed. In practical, often, system states are unknown or immeasurable. In applications like state feedback control design, fault diagnostics or system monitoring, the states information is needed. The precise estimation of states can be done and verified using Kalman filter as state observer. For generation and confirmation of correct states estimate, DC inputs (resembling practical inputs) are developed and outputs from TRS model are collected. The I/O data is invoked in Kalman filter and resulting states estimates are verified for correctness first by examining the state error covariance and then by comparing the evolution of actual and estimated states.The results show that the Kalman state estimates are highly precise and fast convergent to the actual states. The TRS states information is usable for fault diagnostics, control design, system monitoring or as an alternate to costly instruments used to measure system states in industries.

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Identifying Bearing Rotor-Dynamic Coefficients Using an Extended Kalman Filter

Cited by 13 publications

References 19 publications

Influence of dissimilar radial clearances on the performance of hydrodynamic rotor-bearing systems considering misalignment effects

Influence of dissimilar radial clearances on the performance of hydrodynamic rotor-bearing systems considering misalignment effects

Analytical and Numerical Investigation on the Duffing Oscilator Subjected to a Polyharmonic Force Excitation

Kalman Filter Based State Estimation for Linearized Twin Rotor System

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