含横向裂纹悬臂梁的损伤检测

研究了含有横向裂纹的悬臂梁的弯曲问题,并给出了一种对悬臂梁进行损伤检测的方法.将梁的损伤模拟为一个附加柔度,根据理论分析,建立了梁的挠度和损伤位置以及附加柔度之间的关系,定义损伤处梁的剖面惯性矩与完整剖面的惯性矩之比为惯性矩系数,结合有限元法,建立附加柔度和惯性矩系数的关系,给出了一个由附加柔度计算惯性矩系数的公式,根据惯性矩系数估计损伤程度.通过一个梯形截面梁的算例证明,提出的计算公式和损伤检测法是准确有效的.

Damage Detection for the Cantilever Beam with Transverse Crack

A damage detection method for the cantilever beam with transverse crack was proposed. According to the theoretical analysis, damage of the beam is modeled as an additional flexibility. The relationship between the transverse displacement and the location of the damage and the additional flexibility was constructed. The ratio of the moment of inertia of the cracked section to the moment of inertia of the intact section is defined as the coefficient of the moment of inertia. A formulation for calculating the coefficient of the moment inertia from the additional flexibility was constructed using the FEM simulation. The status of damage is estimated according to the coefficient of the moment of inertia. An example about a trapezium cross section cantilever beam was given to validate the correction of the formulation and the method.