侧向间隙点约束作用下弹性圆(环)板的热过屈曲响应  

Thermal Post-Buckling Responses of Elastic Circular/Annular Plates Bilaterally Subjected to Point-Space Constraints

作　　者：孙云[1] 李世荣[1] 

机构地区：[1]扬州大学建筑科学与工程学院,江苏扬州225127

出　　处：《力学季刊》2014年第4期615-621,共7页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(11272278)

摘　　要：基于von Karman薄板理论推导了均匀升温下的弹性圆(环)板受到侧向间隙点约束作用前后的轴对称热过屈曲方程.点约束位于圆(环)板圆心处的侧向两侧,且间隙值在板的热过屈曲变形范围内.控制方程是一组以中面位移为基本未知量,以温度载荷为参数,接触后约束条件改变的非线性常微分方程组.采用打靶法数值求解所得方程,获得了周边不可移夹紧和简支圆(环)板在接触前后的热过屈曲响应.着重研究了圆(环)板受到点约束作用后的过屈曲变形和内力的变化情况,分析了环板内外半径比及边界条件的影响,给出了有关的平衡构形和平衡路径.Based on von Karman＇s thin plate theory, axisymmetric thermal post-buckling equations were derived for an elastic circular/annular plate under uniform temperature rise when the plate was constrained by a space-fixed point in the center with clearance. The space value was within the thermal post-bucking deformation of the plate. The governing equations were non-linear ordinary differential equations in terms of the displacements of the middle plane, including parameter of thermal loading, with constrained conditions changing after contact. By using the shooting method the equations were solved numerically and the thermal post-buckling responses of the circular/annular plate with immovably clamped and simply supported edges were obtained. The change of thermal post-buckling deformation and the internal forces of the circular/annular plate were studied emphatically after the plate was constrained by the point constraint. Effects of ratio between inner and outer radius and boundary conditions on the post-bucking behaviors of the plate were discussed. The corresponding equilibrium paths and configurations during the thermal post-buckling were presented here.

关 键 词：圆(环)板 侧向间隙点约束 热过屈曲 打靶法 

分 类 号：O343[理学—固体力学]