For extensively existed high-aspect ratio structures in engineering,the bending-torsional-cou-pled vibration of the high-aspect ratio plate is studied for the first time.As the relative stiffness along the chordwise direction is far bigger than that of the spanwise,the chordwise section is simplified as a rigid body,while that in the spanwise direction is flexible.The Hamilton's principle is applied to establish the governing equation of the bending-torsional-coupled vibration of the high-aspect ratio plate with simple supports at both ends.After projecting the governing equation into modal space via Galerkin method,the analytical results and numerical solutions of the bending-torsional-coupled vibration are obtained by the harmonic balance method and DQEM/DQM respectively.The convergence of the modal projection and the harmonic expansion are also verified.Finally,the influence of the external excitation on the forced vi-bration is studied.The results provide guidance for the design of high-aspect ratio structures in engineer-ing.
关键词
大展弦比板/弯扭耦合振动/受迫振动/谐波平衡法
Key words
high-aspect ratio plate/bending-torsional-coupled vibration/forced vibration/harmonic balance method
维普
万方数据