集中荷载作用下主梁裂缝扩展过程的分形描述

Fractal Description of the Crack Propagation Process of Main Beam with Concentrated Load

桥梁主梁在剪力作用下裂缝的形成、扩展和分布十分复杂,借助模型实验获得了主梁在剪力作用下的裂缝分布规律,应用分形几何理论研究了裂缝分布的自相似性。研究表明:所形成的裂缝有很好的自相似性,分形维数可描述裂隙化程度,且剪力、挠度与分形维数具有明确的量化关系。

Formation, propagation and distribution of the crack of bridge main beam under sheer force are very complicated. The found crack distribution regulations of main beam under sheer force action by model test is depended on, and utilized the fractal geometric theory to research on the self-similarity of crack distribution. The research shows that the formed crack has good self-similarity, the fractal dimension can be used to describe quantitatively the evolution of crack network, and sheer force, deflection and fractal dimension have definite quantization connection.