| 定积分法求解弯曲变形问题 |
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| 引用本文： | 刘荣刚, 郝志伟, 边文凤. 定积分法求解弯曲变形问题. 力学与实践, 2023, 45(3): 680-683. doi: 10.6052/1000-0879-22-438 |
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| 作者姓名： | 刘荣刚 郝志伟 边文凤 |
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| 作者单位： | 哈尔滨工业大学(威海)海洋工程学院,山东威海 264209;哈尔滨工业大学(威海)材料科学与工程学院,山东威海 264209 |
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| 基金项目： | 山东省自然科学基金（ZR2022QF113）资助项目; |
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| 摘 要： | 本文采用定积分方法求解梁的弯曲变形问题。该方法不需要采用边界条件来确定积分常数,有效地简化了问题的求解过程;该方法以梁的转角微元为逻辑起点,清晰地刻画了梁弯曲变形的累加过程,便于深刻理解载荷作用下梁的变形历程。
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| 关 键 词： | 挠曲线方程 转角方程 定积分 微元 |
| 收稿时间： | 2022-08-01 |
| 修稿时间： | 2022-09-09 |
SOLUTION OF DEFLECTION OF BEAMS BY DEFINITE INTEGRAL METHOD |
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| Liu Ronggang, Hao Zhiwei, Bian Wenfeng. Solution of deflection of beams by definite integral method. Mechanics in Engineering, 2023, 45(3): 680-683. doi: 10.6052/1000-0879-22-438 |
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| Authors: | LIU Ronggang HAO Zhiwei BIAN Wenfeng |
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| Affiliation: | *. School of Ocean Engineering, Harbin Institute of Technology, Weihai, Weihai 264209, Shandong, China; †. School of Materials Science and Engineering, Harbin Institute of Technology, Weihai, Weihai 264209, Shandong, China |
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| Abstract: | In this paper, the definite integral method is used to solve the deflection of beams. The method does not need boundary conditions to determine the integral constant, which effectively simplifies the solution process of the problem. The method takes the slope infinitesimal element of the beam as the logical starting point, and clearly describes the cumulative process of deflection of beams, which is convenient for a deep understanding of the deflection process of the beam under load. |
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| Keywords: | equation of the deflection curve equation of the slope definite integral infinitesimal |
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