Design optimization of a rotordynamic beam system with elastic supports to minimize flexural responses using a combined
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RESEARCH PAPER
Design optimization of a rotordynamic beam system with elastic supports to minimize flexural responses using a combined optimization algorithm Bret R. Hauser 1 & Bo P. Wang 1 Received: 7 July 2019 / Revised: 3 November 2019 / Accepted: 12 November 2019 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Modern rotating machines are often required to operate with increasingly limited physical footprints and/or overall weights, necessitating that they utilize wide-ranging shaft speed to accomplish needed power levels. It is not uncommon then that the resulting speed envelope crosses or encompasses multiple critical speeds with the requirement that flexural vibrations be limited to safe and acceptable levels. Design optimization of this class of problem can be particularly difficult in that responses can exhibit high modality adding significant complexity and time to the optimization effort. This paper presents a design optimization methodology appropriate to an economic solution for this class of problem. A simplified rotordynamic example is used to challenge the proposed optimization method against other more “conventional” techniques with results of the proposed method extensible to more complicated, practical rotordynamic problems. Keywords Rotordynamic optimization . Parallel beam . Elastic supports
1 Introduction Designers of complex machinery sometimes face the challenge to optimize high-modality responses within the constraints of limited temporal or financial budgets. Common design mitigations for rotordynamic systems address critical speed avoidance through a variety of means including “placement” of the resonance frequency with respect to the operating speed band, incorporation of damped vibration absorbers, and the like. Often though, these design mitigations are tuned, with effective results limited to a relatively narrow band of operational speeds. As such, they may be insufficient if the required operating speed band is wide and encompasses multiple critical speeds. Therefore, a different design mitigation technique is required for this class of
Responsible Editor: Emilio Carlos Nelli Silva * Bret R. Hauser [email protected] Bo P. Wang [email protected] 1
University of Texas at Arlington, Arlington, TX, USA
problem that serves to minimize the response(s) throughout the full (wide) speed range. The presence of high modality limits the effectiveness of some conventional optimization methodologies due to the challenge of “crossing” local maxima in search of the optimal solution. Other challenges may exist for rotordynamic systems in that the analyses often include tools such as commercial Finite Element Analysis (FEA) codes which serve as “blackbox” function generators. That is, only output responses are available from these programs further limiting efficiency of some conventional optimization tools. Also, if a given function evaluation is sufficiently expensive, it may fit the classification for an expensive black-box function (EBBF). In problems where these factor
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