弹性薄板挠曲问题两种计算方法的比较  

Comparison between Two Methods of the Deflection in Elastic Thin Plate

作　　者：王红卫[1] 陈忠辉[1] 冯德顺[1] 曹晓丽[1] 

机构地区：[1]中国矿业大学(北京校区)力学与建筑工程学院,北京100083

出　　处：《淮北煤炭师范学院学报（自然科学版）》2004年第2期18-22,共5页Journal of Huaibei Coal Industry Teachers College(Natural Science edition)

基　　金：国家973科研项目(2002CB412707)

摘　　要：本文分别应用迭加法和迦辽金法计算矩形弹性薄板的挠曲问题,结合均匀分布载荷作用下四边固定弹性薄板的计算过程,将两种算法得到的结果分别与其精确解作比较,体现出迭加法易于理解、便于运用的优点.又应用有限元计算软件ANSYS对该板进行了数值模拟,在证实其结果精确度可信性的基础之上,验证了迭加法和数值模拟技术结合应用的可行性.在工程实际中,迭加法与数值模拟技术相互检验、配合应用是一种有效的方法.In this paper,superposition method and Galerkin method are applied to study the deflection of elastic thin plate.As an example,the thin rectangle pla te is presented with the four fixed sides under uniform pressure.In order to foc us on the operational conveniences of superposition method,the results from the two methods are compared with the correct one.In addition,finite element method is applied to simulate this plate.After the precision is confirmed,superposition method and numerical simulationare feasible to work together.In practice,superp osition method can be applied by cooperating with numerical simulation,which is an effective method.

关 键 词：矩形弹性薄板 挠曲 迭加法 迦辽金法 数值模拟 

分 类 号：O411.1[理学—理论物理]