曲がりかつねじれた薄板の自由振動 : 基礎理論

抄録

Fundamental equations governing free vibrations of curved and twisted thin plates, which are blade models of the advanced turboprop, are presented in this paper. First, exact strain displacement relationships for curved and twisted thin plates are derived based on the thin shell theory. Then, the principle of virtual work of free vibrations is formulated, which is the fundamental equation for establishing numerical procedures to analyze the vibration of the curved and twisted plate, such as the Rayleigh-Ritz method and the finite-element procedure. Since the equations are derived on the basis of shell theory, they are utilized for plates having large initial twist.