简支Timoshenko 黏弹性开闭裂纹梁的弯曲变形

Bending Deformation of a Simple-supported Viscoelastic Timoshenko Beam with Switching Cracks

利用蠕变柔量、广义Dirac delta函数及裂纹的张开和闭合条件,建立了黏弹性开闭裂纹梁弯曲曲率与弯矩的关系,并给出了突加均布载荷作用下黏弹性裂纹梁的开闭状态判断条件。最后,通过数值算例,分析了简支Timoshenko黏弹性开闭裂纹梁的弯曲性质。

Considering the opening and closing conditions of cracks, the explicit formulation between the bending curvature of a viscoelastic Timoshenko beam with switching cracks and bending moment is derived by using the creep modulus and generalized Dirac delta function. The criteria for the opening and closing conditions of cracks is presented for the viscoelastic cracked beam subjected to a uniform sudden load. Furthermore, the bending deformation of a simple-supported viscoelastic Timoshenko beam with switching cracks is discussed by numerical examples.