Design of Optimum Support Parameters for Minimum Rotor Response and Maximum Stability Limit

Panda, K. C.; Dutt, J.K.

doi:10.1006/jsvi.1998.2062

Cited by 22 publications

(7 citation statements)

References 9 publications

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“…7 Tailoring the support characteristics for optimum unbalance response and stability limit through multi-objective optimisation is studied. 8,9 A recent study has discussed a multi-objective optimisation strategy by combining finite element software ANSYS 10 and optimisation software ISIGHT, 11 which has resulted in significant reduction of vibration level of a flexible rotor system after the optimisation. 12 These studies provide details on the formulation of multi-objective problems without considering the weight as an objective.…”

Section: Introductionmentioning

confidence: 99%

Multi-objective optimisation of a small aircraft turbine engine rotor system with self-updating Rayleigh damping model and frequency-dependent bearing-pedestal model

Shankar

Babu

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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A self-updating Rayleigh damping model and frequency-dependent bearing-pedestal model for multi-objective optimisation is presented through this paper and is applied for a small turbine engine rotor system for aircraft application. This engine is used as an auxiliary power unit on aircraft. The Rayleigh damping model and frequency-dependent bearing pedestal model are verified by carrying out experiments on this auxiliary power unit rotor system. The novel self-updating feature calculates the Rayleigh damping coefficients and frequency-dependent bearing-pedestal stiffness for each chromosome and modifies rotor system equation of motion for computing the objectives during multi-objective optimisation for each chromosome. This novel model is used for multi-objective optimisation of auxiliary power unit rotor system. The unbalance response and weight are minimised subjected to critical speed constraint. Controlled elitist genetic algorithm is used for the optimisation resulting in Pareto optimal solutions and the acceptable solution is identified as the solution close to Utopia point. The results are compared with the constant Rayleigh damping model. The new model has produced an accurate optimum solution superior to constant Rayleigh damping model.

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Section: Introductionmentioning

confidence: 99%

Multi-objective optimisation of a small aircraft turbine engine rotor system with self-updating Rayleigh damping model and frequency-dependent bearing-pedestal model

Shankar

Babu

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…6 who considered unbalance response and stability to be objective functions, which were optimized by a rapid, approximate method using a simple, weighted objective function. This was followed by the analysis of the effect of viscoelastic support parameters on unbalance response and stability limit speed carried out by Panda and Dutt, 7 through calculus-based optimization. This was modified later by Babu et al.…”

Section: Introductionmentioning

confidence: 99%

“…In studies conducted by Barrett et al. 6 and Panda and Dutt, 7 unbalance response amplitude and stability limit speed have been combined into a single-objective function with equal weightage (50%, 50%) and is optimized for computational ease. This would yield a single Pareto optimal point, as opposed to the correct methodology by which multiple points on the Pareto optimal front are to be singled out and the one closest to the utopia point identified as optimal.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective optimization of rotor-bearing systems with an investigation of goal programming approach

Soorajkrishna

Sekhar

Shankar

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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With ever-increasing demand for higher flexibility and higher speeds of operation of high-speed rotating machinery, study of their unbalance responses and stability are of paramount importance. For easier maintenance and transport, weight of such systems is also a critical criterion. In the present study, optimum design parameters of a rotor-bearing system are found by employing multiple multiobjective optimization schemes for simultaneously minimizing unbalance response, maximizing stability limit speed, and minimizing system weight. This is an improvement over previous systems where simple equal weighting of multiple objective functions is carried out to reduce computational challenges. The shaft is assumed to be hollow and modeled as an assembly of 10 two-noded Euler–Bernoulli beam elements with an isotropic disc mounted on it. Genetic algorithm and its multiobjective variant (NSGA-II) are used to find the global optima. The technique of goal programming is identified as a more practical and less computationally challenging alternative to Pareto-based optimization, while yielding an approximate optimum. Complexities arising due to gyroscopic effects and dynamic nature of anisotropic fluid film bearings are also considered, along with practical upper and lower bounds of design variables and maximum von Mises stress developed in the system as constraints.

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“…Many researchers investigated the fault diagnosis and the dynamic response with the different parameters of the rolling element bearings. [5][6][7][8][9][10][11][12] Kankar et al 13 studied the effect of the local defects on the stability of a rolling element bearing rotor system. Cong et al 14 proposed a rolling bearing model to investigate the outer race faults and the inner race faults of the rolling bearing by analyzing the dynamic response of the rotating shaft.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic mechanism of rolling element bearings with an internal clearance in a rotor-bearing system

Nan

Tang

Chen

et al. 2016

Advances in Mechanical Engineering

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Rolling element bearing is a key component in the rotating machinery, especially in the rotor-bearing system which often shows a complex nonlinear dynamic characteristic due to the presence of the internal clearance between the rolling elements and the races. A nonlinear model of the rotor-bearing is developed and the nonlinear dynamic analysis is carried out in this article. The dynamic equations are derived based on the Hertzian contact theory, considering whether there existed an internal clearance between a rolling element and the races at a moment and how much the contact force of the rolling element is during the interface. With the help of the bifurcation diagrams, Poincare maps and the orbit of center for the axis, the effect of the rotating speed, the clearance, and the stiffness on the dynamic response are investigated. The bearing system exhibits the complicated dynamic behaviors such as the periodic motion, the quasi-periodic motion, the chaos, and the jump phenomenon; the rolling element system is sensitive to the variation of the rotating speed, the clearance, and the stiffness in some ranges. The results are meaningful to the practical prediction of the vibrational response; the work is significant in theoretical understanding of the nonlinear dynamic mechanism. This research offers an analytical method to check the parameters to prevent the bearings from the dangerous working conditions.

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Design of Optimum Support Parameters for Minimum Rotor Response and Maximum Stability Limit

Cited by 22 publications

References 9 publications

Multi-objective optimisation of a small aircraft turbine engine rotor system with self-updating Rayleigh damping model and frequency-dependent bearing-pedestal model

Multi-objective optimisation of a small aircraft turbine engine rotor system with self-updating Rayleigh damping model and frequency-dependent bearing-pedestal model

Multiobjective optimization of rotor-bearing systems with an investigation of goal programming approach

Nonlinear dynamic mechanism of rolling element bearings with an internal clearance in a rotor-bearing system

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