Designing vibrating beams and rotating shafts for maximum difference between adjacent natural frequencies

DOI10.1016/0020-7683(84)90076-3zbMath0529.73079OpenAlexW2033157068MaRDI QIDQ787755

Niels Olhoff, Richard D. Parbery

Publication date: 1984

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(84)90076-3

zbMATH Keywords

finite difference discretizationoptimal designvariational analysisrotating shaftbeams have geometrically similar cross-sectionscomparisons with earlier resultscross-sectional area function as design variablegiven volume, length, and boundary conditionsgiven, non-structural masses or disksmaximizes difference between two adjacent natural frequencies or critical whirling speeds of given orderminimum constraint prescribed for cross-sectional areanumber of optimal solutions for cantileversset of governing equationsshafts restricted to be circularsolved numericallysuccessive iteration proceduretransversely vibrating, thin, elastic beam

Mathematics Subject Classification ID

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