CN114417511A - Method for calculating peak value of stress concentration coefficient of tube node under out-of-plane bending moment load and application - Google Patents

Method for calculating peak value of stress concentration coefficient of tube node under out-of-plane bending moment load and application Download PDF

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CN114417511A
CN114417511A CN202111342176.1A CN202111342176A CN114417511A CN 114417511 A CN114417511 A CN 114417511A CN 202111342176 A CN202111342176 A CN 202111342176A CN 114417511 A CN114417511 A CN 114417511A
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chord
plane
stress concentration
concentration coefficient
peak value
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王文华
李昕
赵海盛
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Dalian University of Technology
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Abstract

The invention discloses a method for calculating a peak value of a pipe node stress concentration coefficient under an out-of-plane bending moment load and application thereof, and relates to the technical field of fatigue safety evaluation of civil and ocean engineering steel pipe structures. At present, a stress concentration coefficient calculation formula of a three-plane Y-shaped tube node is not available. In order to solve the problem, the invention establishes a three-plane Y-shaped tube node numerical model library with different geometric parameters, and provides a stress concentration coefficient peak value calculation formula for the three-plane Y-shaped tube node under the action of the out-of-plane bending moment load through calculation and analysis. The formula perfects a stress concentration coefficient calculation system of the spatial tube node, and provides a convenient and reliable method for carrying out three-plane Y-shaped tube node fatigue safety evaluation by adopting an S-N curve method based on hot spot stress.

Description

Method for calculating peak value of stress concentration coefficient of tube node under out-of-plane bending moment load and application
Technical Field
The invention relates to the technical field of fatigue safety evaluation of civil and ocean engineering steel pipe structures, in particular to a method for calculating a peak value of a pipe node stress concentration coefficient under an out-of-plane bending moment load and application thereof.
Background
The high strength to weight ratio makes steel one of the best quality structural materials in civil engineering construction. The steel pipe member is widely applied to various engineering structures due to good material mechanical properties, and the joint of the steel pipe member is a pipe joint. The pipe nodes can be divided into two categories of plane pipe nodes and space pipe nodes, wherein the plane pipe nodes refer to pipe nodes with axes of all rod pieces in the same plane, and the pipe nodes with axes not all in the same plane are space pipe nodes. In recent decades, with the wide application of steel pipe structures in large-scale engineering, the original plane pipe joints cannot meet the engineering requirements, and many forms of space pipe joints are produced at the same time.
The three-plane Y-shaped pipe node is a typical space pipe node and is mostly found in a three-pile foundation structure of an offshore wind turbine in a intertidal zone area in the southeast coast of China. The offshore wind turbine foundation structure needs to resist complex cyclic loads such as wind load, wave load, ocean current load, water level change, growth of marine organisms, scouring and erosion and the like in a service period. Therefore, fatigue safety evaluation is an important link in designing the foundation structure of the offshore wind turbine.
At present, the most commonly adopted method for fatigue design of pipe nodes is an S-N curve method based on hot spot stress. The method comprises the steps of firstly calculating nominal stress on each supporting rod of a pipe node according to external loads borne by each rod piece of the pipe node, secondly calculating stress concentration coefficient values under different loads according to a formula, thirdly multiplying the nominal stress by the peak value of the stress concentration coefficient to obtain hot spot stress, and lastly obtaining the fatigue life of the pipe node according to the hot spot stress values and an S-N curve of a material.
In summary, how to accurately predict the stress concentration coefficient of the pipe node is an important basis for performing structural fatigue safety evaluation. At home and abroad, a plurality of recommended formulas for stress concentration coefficients of different types of pipe nodes exist, but a stress concentration coefficient peak value calculation formula of a three-plane Y-shaped pipe node under the action of out-of-plane bending moment load is lacked.
Disclosure of Invention
In view of the above, the invention provides a method for calculating the peak value of the stress concentration coefficient of a tube node under an out-of-plane bending moment load and an application thereof, and provides a convenient and reliable method for carrying out fatigue safety evaluation on a three-plane Y-shaped tube node by adopting an S-N curve method based on hot spot stress based on a calculation formula of the peak value of the stress concentration coefficient of the three-plane Y-shaped tube node under the action of the out-of-plane bending moment load.
In order to achieve the purpose, the invention provides a method for calculating the peak value of the stress concentration coefficient of a three-plane Y-shaped tube node under an out-of-plane bending moment load, which comprises the following steps:
acquiring a first geometric parameter, wherein the first geometric parameter comprises: the length-slenderness ratio alpha of the chord, the diameter ratio beta of the brace to the chord, the diameter-thickness ratio gamma of the chord, the wall-thickness ratio tau of the chord and the brace-chord included angle theta;
calculating the peak value of the stress concentration coefficient of the chord member of the three-plane pipe node according to the first geometric parameter;
the stress concentration coefficient peak value calculation formula of the three-plane pipe node chord member is as follows:
Figure BDA0003352526920000021
optionally, the chord length-to-thickness ratio is calculated by the following formula:
Figure BDA0003352526920000022
wherein: l iscCalculating the length of the chord member, and D is the outer diameter of the chord member;
the calculation formula of the strut-chord diameter ratio is as follows:
Figure BDA0003352526920000023
wherein: d is the outer diameter of the stay bar;
the calculation formula of the chord diameter-thickness ratio is as follows:
Figure BDA0003352526920000031
wherein: t is chord wall thickness;
the calculation formula of the chord member wall thickness ratio is as follows:
Figure BDA0003352526920000032
wherein: and t is the strut wall thickness.
Optionally, the chord slenderness ratio alpha belongs to [6,15], the strut-chord diameter ratio beta belongs to [0.4,0.75], the chord diameter-thickness ratio gamma belongs to [25,40], the chord wall thickness ratio tau belongs to [0.5,0.9], and the strut-chord included angle theta belongs to [30 degrees ], 60 degrees ].
The invention also provides a method for calculating the stress concentration coefficient peak value of the three-plane Y-shaped tube node under the out-of-plane bending moment load, which comprises the following steps:
acquiring a second geometric parameter, wherein the second geometric parameter comprises: the length-slenderness ratio alpha of the chord, the diameter ratio beta of the brace to the chord, the diameter-thickness ratio gamma of the chord, the wall-thickness ratio tau of the chord and the brace-chord included angle theta;
calculating the stress concentration coefficient peak value of the three-plane pipe node supporting rod according to the second geometric parameters;
the stress concentration coefficient peak value calculation formula of the tri-plane pipe node stay bar is as follows:
Figure BDA0003352526920000033
optionally, the chord length-to-thickness ratio is calculated by the following formula:
Figure BDA0003352526920000034
wherein: l iscCalculating the length of the chord member, and D is the outer diameter of the chord member;
the calculation formula of the strut-chord diameter ratio is as follows:
Figure BDA0003352526920000035
wherein: d is the outer diameter of the stay bar;
the calculation formula of the chord diameter-thickness ratio is as follows:
Figure BDA0003352526920000041
wherein: t is chord wall thickness;
the calculation formula of the chord member wall thickness ratio is as follows:
Figure BDA0003352526920000042
wherein: and t is the strut wall thickness.
Optionally, the chord slenderness ratio alpha belongs to [6,15], the strut-chord diameter ratio beta belongs to [0.4,0.75], the chord diameter-thickness ratio gamma belongs to [25,40], the chord wall thickness ratio tau belongs to [0.5,0.9], and the strut-chord included angle theta belongs to [30 degrees ], 60 degrees ].
The invention also provides application of the method for calculating the stress concentration coefficient peak value of the three-plane Y-shaped tube node under the out-of-plane bending moment load, which comprises the following steps:
calculating the nominal stress of the plane;
calculating according to the first geometric parameter to obtain a stress concentration coefficient peak value of the chord member of the three-plane pipe node;
calculating according to the second geometric parameters to obtain the stress concentration coefficient peak value of the three-plane pipe node supporting rod;
comparing the stress concentration coefficient peak value of the three-plane pipe node chord member with the stress concentration coefficient peak value of the three-plane pipe node bracing member, and taking the larger value as the stress concentration coefficient peak value of the three-plane Y-shaped pipe node;
and multiplying the nominal stress by the stress concentration coefficient peak value to obtain a hot spot stress value of the three-plane Y-shaped tube node.
According to the technical scheme, compared with the prior art, the method for calculating the peak value of the stress concentration coefficient of the tube node under the out-of-plane bending moment load and the application thereof are disclosed, and a calculation formula of the peak value of the stress concentration coefficient of the plane of the three-plane Y-shaped tube node under the load is provided through calculation and analysis based on the established three-plane Y-shaped tube node numerical model base with different geometric parameters. The formula perfects a space tube node stress concentration coefficient calculation system, and provides a convenient and reliable method for three-plane Y-shaped tube node fatigue safety evaluation.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
FIG. 1 is a front view of a tri-planar Y-tube node;
FIG. 2 is a top view of a tri-planar Y-tube node;
FIG. 3 is a schematic diagram of an out-of-plane bending moment loading condition;
FIG. 4 is a diagram of a numerical model;
FIG. 5 is a schematic illustration of chord side alpha sensitivity analysis;
FIG. 6 is a schematic illustration of a strut-side α sensitivity analysis;
FIG. 7 is a schematic illustration of chord side beta sensitivity analysis;
FIG. 8 is a schematic of a strut-side beta sensitivity analysis;
FIG. 9 is a schematic illustration of a chord-side gamma sensitivity analysis;
FIG. 10 is a schematic of a strut-side gamma sensitivity analysis;
FIG. 11 is a schematic illustration of chord side τ sensitivity analysis;
FIG. 12 is a schematic illustration of a strut-side τ sensitivity analysis;
FIG. 13 is a schematic of a chord side θ sensitivity analysis;
fig. 14 is a schematic diagram of strut-side theta sensitivity analysis.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The embodiment of the invention discloses a method for calculating a stress concentration coefficient peak value of a three-plane Y-shaped tube node under an out-of-plane bending moment load, which specifically comprises the following steps:
an elevation view and a plan view of a typical tri-planar Y-tube node are shown in figures 1 and 2. In the figure, LcCalculating length, L, for chords1Length of upper chord, D outer diameter of chord, T wall thickness of chord, lBThe length is calculated for the strut, d is the strut outer diameter, t is the strut wall thickness, and theta is the strut-chord angle. The geometric parameters considered by the stress concentration coefficient peak value calculation formula are as follows: the chord length-thin ratio alpha is calculated according to the formula (1); the diameter ratio beta of the brace to the chord is calculated according to the formula (2); the chord diameter-thickness ratio gamma is calculated according to the formula (3); the chord wall thickness ratio tau is calculated by the method shown in formula (4); strut-chord clip angle θ.
Figure BDA0003352526920000061
Figure BDA0003352526920000062
Figure BDA0003352526920000063
Figure BDA0003352526920000064
First, considering that the tri-plane Y-shaped tube node is subjected to the out-of-plane bending moment load by the T1 plane brace rod only, as shown in fig. 3, the out-of-plane bending moment load direction vector is in the T1 plane and perpendicular to the axis direction of the T1 brace rod, and the maximum value of von Mises equivalent stress caused by the out-of-plane bending moment load at each position of the tri-plane Y-shaped tube node is smaller than the yield strength of the steel material of the tube node.
Second, 1920 three-plane Y-tube node numerical models with different geometric parameters are established, wherein a typical numerical model is shown in FIG. 4. The values of the geometric parameters of each numerical model are shown in table 1.
Table 1 numerical model geometric parameter values
Figure BDA0003352526920000071
And thirdly, applying the load conditions of the first step on the numerical model established in the second step, respectively calculating, totally performing 1920 calculations to obtain 1920 groups of calculation results, counting the calculation results of each model, and performing parameter sensitivity analysis. The sensitivity analysis for α is shown in fig. 5 and 6, the sensitivity analysis for β is shown in fig. 7 and 8, the sensitivity analysis for γ is shown in fig. 9 and 10, the sensitivity analysis for τ is shown in fig. 11 and 12, and the sensitivity analysis for θ is shown in fig. 13 and 14.
And fourthly, respectively carrying out multidimensional nonlinear fitting analysis on the SCF peak values on the chord side and the strut side according to the parameter sensitivity analysis results to obtain stress concentration coefficient peak value calculation formulas of the chord and the strut of the three-plane Y-shaped tube node T1, wherein the stress concentration coefficient peak value calculation formulas are respectively shown in a formula (5) and a formula (6).
Figure BDA0003352526920000072
Figure BDA0003352526920000073
In the formula, alpha is the length-slenderness ratio of the chord, beta is the ratio of the strut-chord diameter, gamma is the ratio of the chord diameter to the chord thickness, tau is the wall thickness ratio of the chord, and theta is the included angle of strut-chord. The value ranges of the parameters are shown in table 2.
TABLE 2 geometric parameters application Range
Geometric parameters α β γ τ θ
Value range [6,15] [0.4,0.75] [25,40] [0.5,0.9] [30°,60°]
Furthermore, the embodiment also provides application of the method for calculating the stress concentration coefficient peak value of the three-plane Y-shaped tube node under the out-of-plane bending moment load.
Specifically, the geometric parameters of the three-plane Y-shaped tube node in a three-pile foundation structure of a certain offshore wind turbine are shown in table 3, and the tube node T1 plane brace rod bears out-of-plane bending moment
Figure BDA0003352526920000083
The hot spot stress of the pipe joint under the working condition is calculatedThe procedure is as follows.
TABLE 3 three-plane Y-tube nodal geometry parameters
Figure BDA0003352526920000081
The first step is as follows: the nominal stress of the T1 plane is calculated according to the material mechanics formula:
Figure BDA0003352526920000082
the second step is that: substituting the geometric parameters in the table 3 into the formula (5), and calculating to obtain that the peak value of the stress concentration coefficient at one side of the chord member of the pipe joint is 15.94;
the third step: substituting the geometric parameters in the table 3 into the formula (6), and calculating to obtain a stress concentration coefficient peak value at one side of the pipe node stay bar to be 9.24;
the fourth step: comparing the stress concentration coefficient peak values of the chord member and the brace rod, and taking a larger value (namely 15.94) as the stress concentration coefficient peak value of the three-plane Y-shaped pipe node;
the fifth step: and multiplying the nominal stress by the peak value of the stress concentration coefficient to obtain the hot spot stress value of the three-plane Y-shaped tube node under the working condition of 237.35 MPa.
How to accurately predict the stress concentration coefficient of the tube node is an important basis for carrying out fatigue design, and the invention provides a stress concentration coefficient peak value calculation formula for the three-plane Y-shaped tube node under the action of the out-of-plane bending moment load through calculation and analysis based on the established three-plane Y-shaped tube node numerical model base with different geometric parameters. The formula perfects a stress concentration coefficient calculation system of the spatial tube node, and provides a convenient and reliable method for carrying out three-plane Y-shaped tube node fatigue safety evaluation by adopting an S-N curve method based on hot spot stress.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (7)

1. A method for calculating the stress concentration coefficient peak value of a three-plane Y-shaped tube node under an out-of-plane bending moment load is characterized by comprising the following steps:
acquiring a first geometric parameter, wherein the first geometric parameter comprises: the length-slenderness ratio alpha of the chord, the diameter ratio beta of the brace to the chord, the diameter-thickness ratio gamma of the chord, the wall-thickness ratio tau of the chord and the brace-chord included angle theta;
calculating the peak value of the stress concentration coefficient of the chord member of the three-plane pipe node according to the first geometric parameter;
the stress concentration coefficient peak value calculation formula of the three-plane pipe node chord member is as follows:
Figure FDA0003352526910000011
2. the method for calculating the stress concentration coefficient peak value of the three-plane Y-shaped tube node under the out-of-plane bending moment load according to claim 1,
the calculation formula of the chord length-thin ratio is as follows:
Figure FDA0003352526910000012
wherein: l iscCalculating the length of the chord member, and D is the outer diameter of the chord member;
the calculation formula of the strut-chord diameter ratio is as follows:
Figure FDA0003352526910000013
wherein: d is the outer diameter of the stay bar;
the calculation formula of the chord diameter-thickness ratio is as follows:
Figure FDA0003352526910000014
wherein: t is chord wall thickness;
the calculation formula of the chord member wall thickness ratio is as follows:
Figure FDA0003352526910000015
wherein: and t is the strut wall thickness.
3. The method for calculating the stress concentration coefficient peak of the three-plane Y-shaped tube node under the out-of-plane bending moment load according to claim 1, is characterized in that the chord slenderness ratio alpha epsilon [6,15], the strut-chord diameter ratio beta [ epsilon [0.4,0.75], the chord diameter-thickness ratio gamma [ epsilon [25,40], the chord wall thickness ratio tau [ epsilon [0.5,0.9] and the strut-chord included angle theta [ epsilon [30 degrees ], 60 degrees ].
4. A method for calculating the stress concentration coefficient peak value of a three-plane Y-shaped tube node under an out-of-plane bending moment load is characterized by comprising the following steps:
acquiring a second geometric parameter, wherein the second geometric parameter comprises: the length-slenderness ratio alpha of the chord, the diameter ratio beta of the brace to the chord, the diameter-thickness ratio gamma of the chord, the wall-thickness ratio tau of the chord and the brace-chord included angle theta;
calculating the stress concentration coefficient peak value of the three-plane pipe node supporting rod according to the second geometric parameters;
the stress concentration coefficient peak value calculation formula of the tri-plane pipe node stay bar is as follows:
Figure FDA0003352526910000021
5. the method for calculating the stress concentration coefficient peak value of the three-plane Y-shaped tube node under the out-of-plane bending moment load according to claim 4,
the calculation formula of the chord length-thin ratio is as follows:
Figure FDA0003352526910000022
wherein: l iscCalculating the length of the chord member, and D is the outer diameter of the chord member;
the calculation formula of the strut-chord diameter ratio is as follows:
Figure FDA0003352526910000023
wherein: d is the outer diameter of the stay bar;
the calculation formula of the chord diameter-thickness ratio is as follows:
Figure FDA0003352526910000031
wherein: t is chord wall thickness;
the calculation formula of the chord member wall thickness ratio is as follows:
Figure FDA0003352526910000032
wherein: and t is the strut wall thickness.
6. The method for calculating the stress concentration coefficient peak of the three-plane Y-shaped tube node under the out-of-plane bending moment load according to claim 4, is characterized in that the chord slenderness ratio alpha E [6,15], the strut-chord diameter ratio beta E [0.4,0.75], the chord diameter-thickness ratio gamma E [25,40], the chord wall thickness ratio tau E [0.5,0.9] and the strut-chord included angle theta E [30 degrees ], 60 degrees ].
7. The application of the method for calculating the stress concentration coefficient peak value of the three-plane Y-shaped tube node under the out-of-plane bending moment load is characterized by comprising the following steps of:
calculating the nominal stress of the plane;
calculating according to the first geometric parameter to obtain a stress concentration coefficient peak value of the chord member of the three-plane pipe node;
calculating according to the second geometric parameters to obtain the stress concentration coefficient peak value of the three-plane pipe node supporting rod;
comparing the stress concentration coefficient peak value of the three-plane pipe node chord member with the stress concentration coefficient peak value of the three-plane pipe node bracing member, and taking the larger value as the stress concentration coefficient peak value of the three-plane Y-shaped pipe node;
and multiplying the nominal stress by the stress concentration coefficient peak value to obtain a hot spot stress value of the three-plane Y-shaped tube node.
CN202111342176.1A 2021-11-12 2021-11-12 Method for calculating peak value of stress concentration coefficient of tube node under out-of-plane bending moment load and application Pending CN114417511A (en)

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