节点文献
梁挠曲线方程的精确推导
Precise Derivation of Beam Deflection Equation
【摘要】 采用数学工具,在不忽略任何高阶微量的基础上,修改原有近似的挠曲线方程,推导出更精确、更符合实际的方程式.通过有限元法验证该方程的可靠性,结果表明:传统的计算方法误差较大,且误差随着梁的跨度、横截面、荷载大小、抗弯刚度变化而变化;文中方法得到的误差较小.
【Abstract】 Using mathematical tools,without neglecting any high-order infinitesimals,the existed approximate deflection equation is modified,a more accurate and realistic equation is derived.The reliability of the equation is verified by finite element method.The results show that the traditional calculation error is obvious,the error varies for different the beam spans,cross sections,the values of the load and bending stiffness,the error of presented method is small.
【关键词】 挠曲线;
挠度;
弯矩;
曲率;
有限元法;
【Key words】 deflection curve; deflection; bending moment; curvature; finite element method;
【Key words】 deflection curve; deflection; bending moment; curvature; finite element method;
【基金】 国家自然科学基金资助项目(51178185);中央高校基本科研业务费资助项目(3142014019)
- 【文献出处】 华侨大学学报(自然科学版) ,Journal of Huaqiao University(Natural Science) , 编辑部邮箱 ,2018年06期
- 【分类号】TU323.3
- 【被引频次】5
- 【下载频次】298