Pipeline crack equivalent stiffness calculation method based on stress intensity factor
A technology of stress intensity factor and equivalent stiffness, applied in the field of effective stiffness calculation, can solve the problems that are not conducive to revealing the law of crack equivalent stiffness change, tedious experimental work, etc.
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Embodiment 1
[0093] This embodiment mainly verifies the convergence of the method for calculating the equivalent stiffness of pipeline cracks disclosed in the present invention. The cracked pipe is divided into n thin-walled rings, and the parameters of the pipe are as follows: R b =0.0189m, v=0.3, E=173.81GPa, R a =0.0139m, ρ=7860kg / m 3 .
[0094] Since the equivalent stiffness of the crack is large when the crack depth is relatively small (when the crack depth is 0, the equivalent stiffness is infinite), and then decays rapidly, it is not intuitive to use the stiffness diagram for research. Since flexibility and stiffness are reciprocals of each other, the flexibility diagram of the crack is used for research here. The pipe is discretized into n thin-walled rings along the radial direction, and the values of n are taken as 1, 2, 5, 10, and 20, respectively. As n increases, the calculated value of crack equivalent stiffness converges to the exact solution, as image 3 shown. The a...
Embodiment 2
[0096] This embodiment mainly verifies the effectiveness of the method for calculating the equivalent stiffness of pipeline cracks disclosed in the present invention in diagnosing pipeline cracks. The cracked pipe is divided into n thin-walled rings, and the parameters of the pipe are as follows: R b =0.0189m, v=0.3, E=173.81GPa, R a =0.0139m, ρ=7860kg / m 3 .
[0097] The appearance of cracks can cause changes in the local stiffness of the structure, resulting in changes in the natural frequency of the system. Structural cracks can be diagnosed by looking for the relationship between the natural frequency and the position and size of the crack. In this embodiment, the method disclosed in the present invention is used to calculate the equivalent stiffness of pipeline cracks at different positions and sizes, and then obtain the change law of the first three natural frequencies of the system relative to the position and size of cracks. Then draw the contour lines of the first ...
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