边裂纹对矩形截面偏心柱弹性挠度的影响规律

The influence of side-crack on the elastic deflection of eccentric rectangular column

针对两端铰支含边裂纹矩形截面偏心柱,简要地介绍了由Rayleigh-Ritz能量变分法得到的一个能在裂纹截面满足变形协调条件的挠度方程级数解和最大挠度的解析公式,建立相应的计算方法和程序,重点研究了在不同条件下裂纹对最大挠度的影响规律.

The influence of crack on elastic deflection of eccentric rectangular column was studied in this paper. A trigonometric series solution of the deflection curve and an analytical solution of maximum deflection derived by means of Rayleigh-Ritz energy method was introduced. According to above solution, the effects of crack size on maximum deflection of eccentric rectangular column under different load and eccentricity states were discussed. The range of crack influence and crack closing were illustrated according to the load-crack length curve under the equal Dd/d condition, where the parameter Dd/d is a ratio of the deflection change caused by crack to the deflection of uncracked column. The numerical results show that the deflection change caused by crack is increasing with the decrease of slenderness ratio or the increase of eccentricity.