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矩形截面直梁弯翘分析的七自由度单元法
引用本文:李丽芬,罗旗帜,杨虹.矩形截面直梁弯翘分析的七自由度单元法[J].佛山科学技术学院学报(自然科学版),2006,24(3):36-40.
作者姓名:李丽芬  罗旗帜  杨虹
作者单位:佛山科学技术学院,土木工程与建筑系,广东,佛山,528000
基金项目:国家自然科学基金;广东省自然科学基金
摘    要:利用七自由度单元的有限元法,当考虑弯曲与剪翘时,对矩形截面简支短直梁进行了内力和变形计算,同时与弯曲和剪翘时的解析解结果进行对比,比较表明,对于静定简支梁的内力,两法的数值具有相同的不变值;另外还对简支短直梁有限元弯曲解和两跨连续梁有限元法的弯曲解与解析弯翘解的结果进行了对比。说明采用七自由度单元的有限元法进行矩形截面简支梁的弯翘分析,有很高的精度,可以代替繁琐的解析解。

关 键 词:矩形截面  直梁  弯翘  七自由度单元
文章编号:1008-0171(2006)03-0036-05
收稿时间:2006-05-17
修稿时间:2006年5月17日

Seven-freedom unit used for analysing the warping of rectangular section beam
LI Li-fen,LUO Qi-zhi,YANG Hong.Seven-freedom unit used for analysing the warping of rectangular section beam[J].Journal of Foshan University(Natural Science Edition),2006,24(3):36-40.
Authors:LI Li-fen  LUO Qi-zhi  YANG Hong
Institution:Department of Civil Engineering and Architecture, Foshan University, Foshan 528000. China
Abstract:Seven-freedom unit finite element method is used.Considering bend and warping,the internal force and distortion of rectangular section shot beam are calculated.Compared with the result of analytic solution of bend and warping,it is indicated that,for the internal force numerical value of simple beam,the two methods have the same fixed value;in addition,comparison between finite element bended solution of simple beam and finite element method bended solution and warping solution of twin-span continuous beam has been made.The result shows seven-freedom unit finite element method has high precision to analyse simple beam of rectangular section,it can replace complex analytic solution.
Keywords:rectangular section  beam  warping  seven-freedom unit  
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