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.
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.
出处
《甘肃科学学报》
2010年第3期130-132,共3页
Journal of Gansu Sciences
关键词
变截面梁
有限差分法
弹性地基
cross-section beam
finite difference method
elastic foundation
