摘要
提出并证明了一类非齐次线性微分方程组的积分解法，并以求解受激光和横向力联合加载厚板的轴对称弯曲问题作为该方法的应用实例，籍此给出了考虑挤压效应、旋转惯性效应和剪切变形效应时厚板动态弯曲的扰度和转角公式· 结果表明运用该定理求解问题具有规范。
A theorem of solving a system of linear non-homogeneous differential equations through integrating and adding its basic solutions is put forward and proved,the mathematical role and physical nature of the theorem is interpreted briefly. As an example,the theorem is applied to solve the problem of thermo-force bending of a thick plate.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第11期1168-1174,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目
高技术激光领域经费资助项目
关键词
微分方程组
积分方法
厚板
轴对称
热力弯曲
partial differential equations
integrating method
thick plate
thermo-force bending
