等截面梁纯弯曲振动时忽略非线性因素的条件  

Conditions for Ignoring Nonlinear Factors in Pure Bending Vibration of Equal Cross-section Beams

作　　者：唐果 高永毅[2] 舒慧[3] 龚帅 TANG Guo;GAO Yongyi;SHU Hui

机构地区：[1]湖南软件职业技术大学人文素质教学部,湖南湘潭411201 [2]湖南科技大学物理与电子科学学院,湖南湘潭411201 [3]中国电信股份有限公司怀化分公司,湖南怀化418000 [4]岳阳宇翔科技有限公司,湖南岳阳414012

出　　处：《科技创新与应用》2022年第25期1-4,11,共5页Technology Innovation and Application

基　　金：国家自然科学基金面上项目(51675174)。

摘　　要：根据非线性振动理论,对均质等截面梁纯弯曲振动时非线性因素忽略的问题进行研究;得出均质梁纯弯曲振动时非线性因素忽略的条件;利用非线性因素忽略条件,以简支和悬臂梁为例,对不同类型均质等截面梁纯弯曲振动时,各阶主振动非线性因素的影响和一般初始条件下匀质等截面简支梁纯弯曲振动时非线性因素的影响进行研究;得出5点相关的结论。According to the nonlinear vibration theory, the problem of ignoring nonlinear factors in pure bending vibration of homogeneous beams with equal section is studied, and the conditions of ignoring nonlinear factors in pure bending vibration of homogeneous beams are obtained. By using the condition of ignoring nonlinear factors, and taking simply supported and cantilever beams as examples, we studied the influence of nonlinear factors on each order of principal vibration and the influence of nonlinear factors on pure bending vibration of homogeneous equal section simply supported beams under general initial conditions when different types of homogeneous equal section beams are subjected to pure bending vibration, and five related conclusions are obtained.

关 键 词：等截面梁 纯弯曲振动 几何非线性 忽略条件 非线性振动 

分 类 号：TG404[金属学及工艺—焊接]