作者: William Carnegie
DOI: 10.1243/JMES_JOUR_1959_001_028_02
关键词: Mechanics 、 Fundamental frequency 、 Cantilever 、 Kinetic energy 、 Vibration 、 Rayleigh scattering 、 Potential energy 、 Differential equation 、 Calculus of variations 、 Physics
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.