Solving Fundamental Partial Differential Equation for Mistuned Bladed Disk Vibration

Research output: Contribution to journalArticlepeer-review


In this study, a new approach is developed to solve the mistuned bladed disk partial differential equation (PDE) with arbitrary spatial nonuniformities, and obtain natural frequencies, mode shapes, and steady-state response. The method is based on the novel approach developed by the author to compute natural frequencies and mode shapes of a one-dimensional continuous structure with arbitrary nonuniformities and discontinuities. This method is based on the state transition matrix and has also been applied to a circular membrane with radial non-uniformities, and resulting mode shapes are used to develop a reduced-order model for a circular membrane with both radial and circumferential nonuniformities.

Original languageEnglish (US)
Pages (from-to)3931-3935
Number of pages5
JournalAIAA journal
Issue number6
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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