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简支边界条件下弹性地基上变截面梁的弯曲变形
引用本文:樊建领,刘诚斌,侯慧敏.简支边界条件下弹性地基上变截面梁的弯曲变形[J].甘肃科学学报,2010,22(3):130-132.
作者姓名:樊建领  刘诚斌  侯慧敏
作者单位:1. 兰州理工大学,能源与动力工程学院,甘肃,兰州,730050
2. 北京农业职业学院,土木工程系,北京,102442
摘    要:采用梁的线性理论分析了弹性地基上的梁随截面厚度或宽度(或材料常数)沿长度变化而引起的弯曲变形,针对厚度按指数函数变化(材料常数按线性函数变化)的情况,用有限差分法计算了变截面梁在周边简支边界条件下的弯曲变形.并给出了丰富的数值结果,结果表明,梁截面的变化参数、弹性地基参数,机械载荷对梁的弯曲变形有显著影响,对工程结构设计提供了参考.

关 键 词:变截面梁  有限差分法  弹性地基

Bending Deflection of a Cross-section Beam on Elastic Foundation under Simply Supported Boundary Conditions
FAN Jian-ling,LIU Cheng-bin,HOU Hui-min.Bending Deflection of a Cross-section Beam on Elastic Foundation under Simply Supported Boundary Conditions[J].Journal of Gansu Sciences,2010,22(3):130-132.
Authors:FAN Jian-ling  LIU Cheng-bin  HOU Hui-min
Institution:1.School of Enorgy and Power Engineering,Lanzhou University of Science and Technology,Lanzhou 730050,China;2.Department of Civil Engineering,Beijing Vocational College of Agriculture,Beijing 102442,China)
Abstract:A bending deflection of a cross-section beam is analyzed by linear theory.By using finite difference method and considering the beam with exponentially variable thickness,the bending deflections of the beam under simply supported boundary conditions are calculated.The numerical results show that the parameters which characterize the variation of thickness,the elastic foundation and mechanical load have apparent effects on the bending deflection.Many numerical results are given for reference.
Keywords:cross-section beam  finite difference method  elastic foundation
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