粘钢补强板的弯曲、屈曲与振动

基于 Reissner- Mindlin一阶剪切变形板理论 ,讨论了四边简支粘钢补强混凝土板的弯曲、屈曲和振动问题 .采用 Navier解和 Rayleigh- Ritz法导出弯曲分析中的挠度、弯矩和剪力以及屈曲和振动问题中的屈曲荷载和自振频率 .数值计算结果表明 ,混凝土板补强后挠度明显减小 ,屈曲荷载和自振频率 ,以及补强域内的弯应力显著增大

Bending, Buckling and Vibration of Reinforced Concrete Slabs Bonded with Thin Steel Plate

An analytical study was made for bending,buckling and vibration problems of simply supported reinforced concrete slabs strengthened by means of thin steel plates.The analysis is based on Reissner- Mindlin plate theory,considering first order shear deformation effects.The Rayleigh- Ritz method was used in conjunction with Navier solution procedure for determining the deflection,bending stress and shear stress in the case of bending analysis,as well as for determining the buckling loads and natural frequencies in the case of linear eigenvalue problems of buckling and vibration.The numerical results show that the steel plate,bonded to the tension face of reinforced concrete slabs,reduces the deflection of the slab,but increases the buckling load,natural frequency and bending stress in the bonded region.