Vibrations of Rotating Cantilever Blading: Theoretical Approaches to the Frequency Problem Based on Energy Methods

作者: William Carnegie

DOI: 10.1243/JMES_JOUR_1959_001_028_02

关键词: MechanicsFundamental frequencyCantileverKinetic energyVibrationRayleigh scatteringPotential energyDifferential equationCalculus of variationsPhysics

摘要: A theoretical expression is obtained for the work done due to centrifugal effects when a rotating cantilever blade executes small vibrations. The total potential energy and kinetic of system are formulated, use being made previously derived expressions stationary blade.By Rayleigh's method an equation fundamental frequency vibration established and, case straight uniform symmetrical cross-section, solution deduced based on approximate shape normal elastic curve. characteristic differential equations motion from by variational calculus. Coriolis effects, small, can be neglected in analyses.

参考文章(2)
William Carnegie, Vibrations of Pre-Twisted Cantilever Blading Proceedings of the Institution of Mechanical Engineers. ,vol. 173, pp. 343- 374 ,(1959) , 10.1243/PIME_PROC_1959_173_038_02
William Carnegie, Static Bending of Pre-Twisted Cantilever Blading: Proceedings of the Institution of Mechanical Engineers. ,vol. 171, pp. 873- 894 ,(1957) , 10.1243/PIME_PROC_1957_171_071_02