摘要
本文利用广义函数研究了截面呈阶梯形变化的梁板弯曲问题,直接导出了挠度通用公式。研究结果表明,不论梁板边界的约束条件怎样,均可归结为求解一个二元一次线性代数方程组的问题,与传统方法相比要简捷得多。
In the paper, the bending of beams and circular plates with variable thickness is studied by using generalized functions. In particular, general formulas for deflection of beams and circular plates with stepped variable thickness are directly derived. Thus, in spite of what boundary conditions, the problems may be solved by simultaneous algebraic linear equations with two unknowns. Comparing with conventional methods, the present method is simple and convenient.
出处
《应用力学学报》
CAS
CSCD
北大核心
1990年第3期94-98,150,共5页
Chinese Journal of Applied Mechanics
关键词
变截面
梁
板
广义函数
弯曲
beam and circular plate with variable thickness, generalized function, bending.
