| 关于用奇异函数求解阶梯形梁变形的两个问题 |
| |
| 引用本文： | 刘福林. 关于用奇异函数求解阶梯形梁变形的两个问题[J]. 辽宁大学学报(自然科学版), 1991, 18(1): 58-61 |
| |
| 作者姓名： | 刘福林 |
| |
| 作者单位： | 辽宁大学数学系 |
| |
| 摘 要： | 对于n段阶梯形梁,X_o=0,X_1,X_2,……,X_(n-1)为第一、第二、……、第n段梁左截面的坐标,J_1,J_2,.....,J_n为相应段梁的惯性矩。根据,先将梁惯性矩的倒数用阶梯函数表示:其中此时,梁的挠曲线微分方程为其中E为材料的弹性模量;M(X)为梁的弯矩,由奇异函数法求出。依据奇异函数的积分规则,由(3)式可分别得到梁的转角方程和挠度方程:
|
| 关 键 词： | 奇异函数 梁 阶梯形 变形 |
Two Problems on Solving the Deformations of Step Beams by Singular Functions |
| |
| Liu Fulin. Two Problems on Solving the Deformations of Step Beams by Singular Functions[J]. Journal of Liaoning University(Natural Sciences Edition), 1991, 18(1): 58-61 |
| |
| Authors: | Liu Fulin |
| |
| Affiliation: | Liu Fulin Department of Mathematics,Liaoning University |
| |
| Abstract: | In this paper, we discuss two problems on solving the deformations of step beams by singular functions, and their computing methods were given by examples. |
| |
| Keywords: | singular function step beams deformation |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
