伪参数代方法应用于在非线性弹性基础上对具有可变光束截面的无限光束的非线性偏移分析
Chiseung Lee1, Yun Gyeong Hwang2, T S Jang3
1Department of Biomedical Engineering, School of Medicine, Pusan National University, and Biomedical Research Institute, Pusan National University Hospital, Busan, 49241, Republic of Korea.
Heliyon
|April 18, 2024
概括
伪参数代方法 (PIM) 准确地计算了弹性基础上的非线性光束偏移. 这种新的半分析方法为具有可变横截面的梁提供了快速准确的结果.
科学领域:
- 结构工程 结构工程
- 应用数学 应用数学 应用数学
- 机械工程 机械工程
背景情况:
- 在弹性基础上分析梁的非线性偏移对于结构完整性至关重要.
- 具有可变横截面的梁在曲分析中提出了独特的挑战.
- 对于复杂的非线性场景,现有的方法可能缺乏效率或准确性.
研究的目的:
- 分析无限束的非线性偏移,这些无限束的可变横截面依赖于非线性弹性基础.
- 为这个特定的工程问题引入和验证伪参数代方法 (PIM).
- 评估与精确解决方案相比,PIM的效率和准确性.
主要方法:
- 伯努利-欧勒束方程,一个第四阶普通微分方程,适用于具有变化的屈曲刚度的束.
- 伪参数代方法 (PIM) 是一种新的半分析代技术,用于解决管理方程.
- 在静态负荷下,对六种类型的无限束进行了数值实验,其中包括形和凸形.
主要成果:
- 该PIM证明了高精度,计算的非线性偏移与精确的解决方案密切匹配.
- 该方法在所有测试的光束配置中,在几次代内实现了融合.
- 错误分析显示,随着代数量的增加,稳定状态错误的快速接近.
结论:
- 伪参数代方法 (PIM) 是一种高度有效和高效的技术,用于分析在非线性弹性基础上具有可变横截面的梁的非线性偏移.
- 对于复杂的结构力学问题,PIM提供了可靠的半分析解决方案.
- 该研究验证了PIM在几次代中提供准确和快速结果的能力.
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