摘要
推导出了双模量梁剪切弹性模量的表达式,采用材料力学原理证明了双模量梁中性轴位置与作用在梁上的横向外载荷无关.在考虑剪切变形的基础上,采用Timoshenko梁理论研究了双模量梁的弯曲变形问题,利用奇异函数得到了双模量梁在横向外载荷作用下的挠曲线通式.以双模量简支梁为例,给出了考虑剪切效应对双模量简支梁弯曲变形影响时的判别式,讨论分析了剪切效应对双模量简支梁弯曲变形的影响.
The expression of shear elastic modulus of bimodulous beam was given, and that lateral loads act- ing on bimodulous beams have no effect on the position of the neutral axis was proved. Based on consideration of shear deformation, bending deformation of bimodulous beam was studied by Timoshenko beam theory and the de- flection expression of bimodulous beam under lateral loads was deduced. The determinant of considering shear effect on bimodulus beam bending deformation was given, and the influence of shear effect on bending deformation of bi- modulous beam was discussed by examples.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2015年第4期63-67,83,共6页
Journal of Natural Science of Hunan Normal University
基金
湖南省自然科学基金资助项目(2015JJ6073)
湖南省科技计划资助项目(2011SK3145)
湖南省"十二五"重点建设学科资助项目(2011176)
关键词
剪切效应
双模量
梁
弯曲变形
TIMOSHENKO
奇异函数
中性轴
shear effect
bimodulous
beam
bending deformation
Timoshenko
singularity function
neutral axis
elastic modulus
