工程设计学报2017，Vol.24Issue(3)：295-302,8.DOI:10.3785/j.issn.1006-754X.2017.03.008
多环盘组合结构的横向弯曲耦合振动建模与求解
Modeling and solving of transverse flexure coupled vibration for multi annular plate
摘要
Abstract
Ultrasonic resonant system is the core equipment of rotary ultrasonic machining (RUM ) ,and multi annular plate structure is a typical load structure of ultrasonic resonant sys-tem .The analysis of transverse flexure coupled vibration for this structure is of great significance for ultrasonic resonant system design .Based on Mindlin theory for thick plate ,transverse flexure vibration analysis model of multi annular plate was established by the use of deflection ,rotation angle ,shear force ,and bending moment of continuity and boundary conditions for annular plates . Frequency equation was derived ,and calculating software for transverse flexure coupled vibration frequency of multi annular plate was designed by MATLAB .By the comparison among theoreti-cal model ,finite element model analysis and model experiment ,the accuracy of the solving model and practicability of the calculating software were verified ,which provided technical reference for RUM system design .关键词
多环盘/Mindlin理论/横向弯曲耦合振动/谐振频率Key words
multi annular plate/Mindlin theory/transverse flexure coupled vibration/resonance f requency分类
机械制造引用本文复制引用
付俊帆,秦慧斌,吕明..多环盘组合结构的横向弯曲耦合振动建模与求解[J].工程设计学报,2017,24(3):295-302,8.基金项目
国家自然科学基金资助项目(51575375 ) （51575375 ）
2016年精密加工山西省重点实验室开放基金项目(201601 ) （201601 ）
中北大学研究生科技基金资助课题(20161311 ) （20161311 ）
