摘要
考虑板弯曲运动的旋转惯性效应和剪切变形效应，建立了轴对称热能沉积作用下，边界固支或简支圆厚板的热弹性弯曲运动控制方程。利用数学变换和摄动法，导出了各种温度－力学边界条件下板的热弹性弯曲挠度及截面广义转角的解析公式。给出了在空间Ｇａｕｓｓ型分布激光束辐照下，板整体弯曲响应的代表性数值计算结果，直观显示了板弯曲挠度的时空变化规律。
The controlling equations of thermoelasticity bending motion of the clamped orsimply supported circular thick plate with axially symmetric thermal deposit are found in consid-eration of the effects of rotary inertia and shearing deformation. With the help of mathematicaltransformation and perturbation methods,the expressions of deflection and rotating angle of theplate are obtained for various boundary conditions of temperature and mechanics.The typical numerical calculated results of the whole bending response of the plate irradiated by Gauss distributed laser are given and the law of bending deflections vs time and space is shown directly.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
1995年第1期54-62,共9页
Explosion and Shock Waves
基金
国家自然科学基金和中国工程物理研究院科学基金
关键词
激光辐照
厚板
弯曲
热应力
弹性力学
laser radiation, circular thick plate thermo-bending
