摘要
本文提出无拉力Ｗｉｎｋｌｅｒ弹性地基深浅梁的三角级数统一解法．通过适当设定满足可导条件的三角级数加补充项形式的挠度和剪力，可将给定边界条件下的非线性微分方程化成最简形式的弱非线性代数方程．使用迭代法容易得到解。该方法统一、简便、又无须考虑剪切自锁（有限元计算要考虑深浅梁过度的剪切自锁问题），故可以方便地应用到工程设计和计算中。
The unified solution method of trigonometric progression is introduced herein for non-tension winkler elastic foundation beams. By setting properly the derivative condition which satisfies the trigonometic progression and added with deflection and shear, the non-linear differential equation unden the given boundary conditions can be charged into a simplest feeble non-linean differestion equation, and using iteration method, the solution can be obtained easily. This mothod is unified, sample and needing not to consider the shear self-lock, so it can be applied to engineering design and calculation.
出处
《工业建筑》
CSCD
北大核心
1996年第1期28-30,共3页
Industrial Construction
关键词
弹性地基
梁
挠度
剪力
非线性方程
non-tension Winkler elastil foundation
unified solution
deflection
shear
non-linear equation
