太原理工大学学报2025，Vol.56Issue(2)：281-287,7.DOI:10.16355/j.tyut.1007-9432.20230403
中间支撑轴向移动梁的强迫振动
Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support
摘要
Abstract
[Purposes]This work is conducted to understand the nonlinear vibration response characteristics of axially moving beams with intermediate support constraints.[Methods]The dy-namic equation of the system was established on the basis of Hamilton principle,and the motion equa-tion was discretized into a nonlinear ordinary differential equation by using the Galerkin method.By combining the improved arclength extension method with the incremental harmonic balance method,the dynamic equations of the system were solved,and the dynamic response characteristics of the sys-tem under different parameters were analyzed.[Findings]It is shown that the overall system re-sponse exhibits a hard spring characteristic.The support spring has a significant impact on the dynam-ics of the axially moving beam.In addition,when the axial movement speed is within a certain range,the system exhibits internal resonance,and the system shows more complex response characteristics.关键词
轴向移动梁/弹簧约束/强迫振动/增量谐波平衡法Key words
axially moving beam/spring constraint/forced vibration/incremental harmonic bal-ance method分类
数理科学引用本文复制引用
王则,黄海杰,郝鑫..中间支撑轴向移动梁的强迫振动[J].太原理工大学学报,2025,56(2):281-287,7.基金项目
山西省自然科学基金(202203021212303) （202203021212303）
太原科技大学科研启动基金资助项目(20212032) （20212032）
