摘要
基于Hamilton能量变分原理,建立了考虑剪力滞效应的薄壁直线箱梁力学模型,从而得出了移动荷载作用下箱梁的动力微分方程。通过采用积分变换方法对箱梁的控制方程和边界条件进行Laplace变换,在频域内求出箱梁位移波动解。然后采用Crump逆变换方法,使用Matlab软件编程进行数值反演,得到时域内箱梁的各种动态响应。通过计算简支箱梁在移动荷载作用下的挠度和应力,分析了荷载移动速度对动力响应的影响。
Based on Hamilton potential energy variation principle, the mechanical model of box girder in considering shear lag is built. The dynamic differentical equations of the structure in the action of moving loads are derivated. By means of the integral transform theory, the differential equations of the box girder and the boundary conditions are taken on Laplace transformation. The analytical wave solution of the structure in frequency area is educed. And then the wave solution is inversed using the mathematical software Maflab on the base of Crump inverse transformation method. The dynamic response in time area is obtained. The deflection and stress of simply supported box girde are calculated. The effect of load speed and load size to dynamic response of thin-walled box girder is analyzed.
出处
《四川建筑科学研究》
2012年第1期40-43,88,共5页
Sichuan Building Science
