河南理工大学学报:自然科学版
河南理工大學學報:自然科學版
하남리공대학학보:자연과학판
JOURNAL OF HENAN POLYTECHNIC UNIVERSITY
2012年
6期
722-727
,共6页
杨立军%邓志恒%陆守明%孙晋
楊立軍%鄧誌恆%陸守明%孫晉
양립군%산지항%륙수명%손진
曲率荷载法%转角位移曲线%挠度位移曲线
麯率荷載法%轉角位移麯線%撓度位移麯線
곡솔하재법%전각위이곡선%뇨도위이곡선
curvature loading method%angle displacement curve%deflection displacement curve%structure%displacement calculation
结构位移之间的微分关系和结构荷载及内力之间微分关系的相似性为结构位移的计算提供了一个有效的新方法:曲率荷载法.将结构各杆件的曲率视为作用在结构上的分布荷载,将支座、杆件结点和曲率改变处作为杆件单元的分段点,根据杆件两端的支承情况求出杆端力,据此求出结构的剪力曲线和弯矩曲线,相应地得到了结构的转角位移曲线和挠度位移曲线.介绍了曲率荷载法的求解思路,给出了杆件常见曲率荷载作用下的转角和挠度表达式.算例分析表明,该法计算简单,结果正确,是对结构位移计算的一种有益探索与尝试.
結構位移之間的微分關繫和結構荷載及內力之間微分關繫的相似性為結構位移的計算提供瞭一箇有效的新方法:麯率荷載法.將結構各桿件的麯率視為作用在結構上的分佈荷載,將支座、桿件結點和麯率改變處作為桿件單元的分段點,根據桿件兩耑的支承情況求齣桿耑力,據此求齣結構的剪力麯線和彎矩麯線,相應地得到瞭結構的轉角位移麯線和撓度位移麯線.介紹瞭麯率荷載法的求解思路,給齣瞭桿件常見麯率荷載作用下的轉角和撓度錶達式.算例分析錶明,該法計算簡單,結果正確,是對結構位移計算的一種有益探索與嘗試.
결구위이지간적미분관계화결구하재급내력지간미분관계적상사성위결구위이적계산제공료일개유효적신방법:곡솔하재법.장결구각간건적곡솔시위작용재결구상적분포하재,장지좌、간건결점화곡솔개변처작위간건단원적분단점,근거간건량단적지승정황구출간단력,거차구출결구적전력곡선화만구곡선,상응지득도료결구적전각위이곡선화뇨도위이곡선.개소료곡솔하재법적구해사로,급출료간건상견곡솔하재작용하적전각화뇨도표체식.산례분석표명,해법계산간단,결과정학,시대결구위이계산적일충유익탐색여상시.
The similarity that the differential relation between structure displacements and the differential rela- tion between structure loads and its internal forces has provided an effective new method to calculate structural displacements, namely the curvature loading method. Every member curvature was looked upon as the distri- bution load acting on a structure, and a support joint, a bar nod and a curvature change position were all re- garded as a bar element piecewise point, then the forces of end point were obtained based on the supporting conditions at two opposite ends. Hereby, the shearing curves and the bending moment curves were obtained. The angle displacement curves and the deflection displacement curves were attained correspondingly. Hence the resolving thoughts of the curvature loading method were proposed and the expressions for the angle dis- placement and deflection displacement were also given under a common curvature load. The example showed that, the method introduced above was correct, and easy to calculate, and the work in this paper is a kind of beneficial attempt and exploration in structural displacement calculation.