摘要
在研究等截面蜂窝夹芯盒式矩形截面直梁自由弯曲位移和应力的基础上,分析其约束弯曲位移和应力附加项· 对附加位移采用了分离变量假设,在此基础上,得到了几何、物理和平衡三方面的方程· 采用伽辽金解法,使问题归结为具有衰减特性的二阶线性常微分方程· 分析表明,应力衰减速度的快慢,取决于参数ν,而ν与载荷的大小。
On the basis about studying free bending for box beam with rectangular cross-section filled by honeycomb core,supplementary displacements and stresses of restrained bending for such beam were analyzed.The hypothesis for separated variables was adopted to solve displacement.According to this,three aspect equations of geometrical,physical and balance were obtained.With Galerkin's method,it is summed up as two-order ordinary differential equations with the attenuation character.Analysis makes clear that attenuation speed of stress is concerned with a big load or a small one,geometric dimensions of cross section of beam,and physical parameter of material.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第11期1143-1149,共7页
Applied Mathematics and Mechanics
基金
航空基金资助项目(99B51024)
关键词
蜂窝结构
约束弯曲
应力
衰减
翘曲位移
honeycomb structure
constrained bending
stress
attenuation
warping displacement
