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使用MADM在非线性弹性基础上依靠轴向压缩的欧勒 - 伯诺利束的分析解决方案
1College of Optoelectronic Manufacturing, Zhejiang Industry & Trade Vocational College, Wenzhou, 325003, Zhejiang Province, China.
Scientific reports
|March 3, 2026
概括
这项研究使用了修改的阿多米亚分解法 (MADM) 来准确地建模轴向压缩和非线性基础下的欧勒-伯诺利束偏移. 该方法为复杂的光束行为提供了稳定高效的分析解决方案.
科学领域:
- 结构力学 结构力学
- 应用数学 应用数学 应用数学
- 连续力学 连续力学
背景情况:
- 欧勒 - 伯努利束在结构分析中具有根本性的作用.
- 对于工程应用来说,了解在结合轴向压缩和非线性弹性基础下的偏斜是至关重要的.
- 现有的分析方法可能会面临这样复杂的边界条件的挑战.
研究的目的:
- 在轴向压缩和非线性弹性基础下研究欧勒 - 伯努利束的偏移行为.
- 为这个特定问题引入和验证修改的阿多米亚分解法 (MADM).
- 提供一个准确和高效的分析框架来预测光束偏移.
主要方法:
- 使用了修改的阿多米亚分解法 (MADM).
- 一个初始的多项式替代词被用来优化Adomian多项式构造.
- 该方法的准确性与分析基准进行了验证,并与现有已发表的解决方案进行了比较.
主要成果:
- MADM证明了快速收和精确的串行解决方案,用于光束偏移.
- 拟议的配方与分析基准和先前的研究都表现出了很好的一致性.
- 该方法被证明是稳定和高效的模拟合效应.
结论:
- MADM是一种可靠和有效的分析技术,用于分析在非线性弹性基础上的轴向压缩的欧勒 - 伯努利束.
- 这项研究证实了MADM在预测复杂光束偏移行为的有效性和效率.
- 这种方法为工程师和研究人员处理类似的结构力学问题提供了有价值的工具.
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