| 关于用奇异函数求解阶梯形梁变形的两个问题 |
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| 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. |
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| 作者姓名： | 刘福林 |
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| 作者单位： | 辽宁大学数学系 |
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| 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:
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| 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 |
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| 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. |
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| Authors: | Liu Fulin |
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| Institution: | Liu Fulin Department of Mathematics,Liaoning University |
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| 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. |
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| Keywords: | singular function step beams deformation |
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