集中载荷作用下四边固接矩形薄板的刚度计算方法

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摘要：  为研究集中载荷作用下四边固接矩形薄板的刚度，将矩形弹性薄板等效成双向正交板条，以板条宽与板宽的比和载荷作用位置为参数，研究板的长宽比与板刚度的关系。以实际工程中常见的剪力墙尺寸为例，给出计算板刚度的拟合公式，并进行有限元验证，证明拟合公式误差较小。

关键词：  四边固接; 薄板; 刚度; 双向正交板条

中图分类号：  TU392; TB115.1文献标志码：  B

Stiffness calculation method of rectangular thin plate with

four edges fixed under concentrated load

SU Zhe

（College of Civil Engineering， Shandong Jianzhu University， Jinan 250101， China）

Abstract： To study the stiffness of rectangular thin plates with four edges fixed， the rectangular elastic thin plate is equivalent to a two-way orthogonal strips. Taking the strip width to plate width ratio and load action position as parameters， the relationship between length-width ratio and plate stiffness is studied. Taking the common shear wall size in practical engineering as examples， the fitting formula for calculating plate stiffness is given. The fitting formula is verified by finite element， and the error of the fitting formula is small.

Key words： four edges fixed; thin plate; stiffness; twoway orthogonal strips

作者简介： 苏哲（1990—），男，山东东营人，硕士研究生，研究方向为钢结构受力，（E-mail）1959885624@qq.com0引言

高层建筑塔式起重机需要通过附着装置连接到建筑结构上，当起重机与剪力墙相连时，剪力墙要给起重机附着装置以支撑约束，而剪力墙刚度将直接决定支撑力大小，因此有必要提供一种计算刚度的简便算法。（剩余2728字）