CN106777681B - Method and system for calculating safety coefficient of attachment node of outer climbing frame of hydraulic climbing formwork - Google Patents
Method and system for calculating safety coefficient of attachment node of outer climbing frame of hydraulic climbing formwork Download PDFInfo
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Abstract
The invention provides a method and a system for calculating the safety coefficient of attachment nodes of an outer climbing frame of a hydraulic climbing formwork, which solve the node counter force of the outer climbing frame of the hydraulic climbing formwork according to an analytic relation, obtain the maximum stress of the attachment nodes according to the linear relation between the maximum stress of each attachment node and the vertical counter force and the horizontal counter force of the attachment node, and further obtain the safety coefficient of the attachment nodes of each outer climbing frame.
Description
Technical Field
The invention relates to a method and a system for calculating a safety coefficient of an attachment node of an outer climbing frame of a hydraulic climbing formwork
Background
The hydraulic creeping formwork device is widely applied to the construction of the super high-rise core tube. The hydraulic climbing formwork equipment mainly comprises an outer climbing frame and an inner barrel frame, and the main concern of the two frame bodies in the actual engineering is whether the two frame bodies can work safely in the construction process.
As for the outer climbing frame of the hydraulic climbing formwork, under normal working conditions, the frame body is attached to the structure through nodes such as hooks, climbing boots, wall-attached supports, anchor bolts and the like in sequence. Therefore, the safety of the attachment nodes is the key for ensuring the normal work of the hydraulic climbing formwork outer climbing frame.
In actual engineering, a finite element analysis technology is generally adopted to ensure the use safety of the attachment node, and the method comprises the following steps:
(1) because the number of the external climbing frames in the same project is large, only a typical external climbing frame is taken to carry out integral stress analysis, and the horizontal counter force and the vertical counter force of the attachment node of the typical external climbing frame are solved;
(2) establishing an entity finite element model of an attachment node (a hook, a climbing boot, an attachment wall support and an anchor bolt), applying real boundary conditions and the horizontal counter force and the vertical counter force of the obtained typical outer climbing frame on the finite element model, and performing finite element analysis;
(3) and checking the strength and the rigidity of each attachment node according to the result of the finite element analysis.
In a conventional method, a typical outer climbing frame is selected (for example, the outer climbing frame with the largest horizontal width) with strong experience, so that the attachment node counter force obtained through integral stress analysis cannot envelop the worst condition of a project, and the safety of all the attachment nodes of the outer climbing frame in the project cannot be accurately controlled, thereby causing potential safety hazards. Modeling all the outer climbing frames one by one and performing integral stress analysis can increase a large amount of work, and the workload of calculation and analysis can also be greatly increased.
Disclosure of Invention
The invention aims to provide a method and a system for calculating the safety coefficient of the attachment nodes of the outer climbing frame of a hydraulic climbing formwork, which can quickly and accurately calculate the safety coefficient of the attachment nodes of all the outer climbing frames without carrying out finite element analysis on all the outer climbing frames in a super high-rise project to solve the counter force of the attachment nodes.
In order to solve the above problems, the present invention provides a method for calculating a safety coefficient of an attachment node of a climbing frame outside a hydraulic climbing formwork, comprising:
establishing a solid finite element model of each attachment node of the outer climbing frame, and fitting the relationship between the maximum stress of each attachment node and the counter force borne by the attachment node;
calculating the counter force of the attachment node of the outer climbing frame by using an analytical formula;
calculating the maximum stress of each attachment node on the outer climbing frame according to the fitted relationship between the maximum stress of each attachment node and the counter force borne by the attachment node;
and calculating the safety factor of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame.
Further, in the above method, establishing an entity finite element model of each attachment node of the outer climbing frame, and fitting a relationship between a maximum stress of each attachment node and a reaction force borne by the attachment node, the method includes:
respectively establishing entity finite element models of a hook, a climbing boot, an attached wall support and an anchor bolt, applying boundary conditions according to actual engineering conditions, and inputting different vertical counter-force and horizontal counter-force pairsFitting to obtain the relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node
σ1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4Fz，
In the formula, σ1max、σ2max、σ3maxAnd σ4maxMaximum stress, F, of the hook, climbing boot, wall-attached support, anchor bolt, respectivelyxAnd FzRepresents the horizontal counter force and the vertical counter force of the outer climbing frame, (c)i,kxi,kzi) And (i is 1,2,3 and 4) are fitting coefficients of the hook, the climbing boot, the wall-attached support and the anchor bolt respectively.
Further, in the above method, calculating the reaction force of the attachment node of the outrigger using an analytic formula includes:
establishing a balance equation of the outer climbing frame from the horizontal direction, the vertical direction and the rotating direction to obtain the total horizontal counter force TF of the outer climbing framexAnd vertical counter force TFz，
Namely, it is
And TFz＝G+L，
In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively;
g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLHorizontal distances from the dead weight and the construction load acting point to the attachment node respectively;
hrthe height of the supporting frame of the outer climbing frame is (F) the most unfavorable node counter force pair on the outer climbing framex＝ξTFx,Fz＝ξTFz) In the formula (I), wherein,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two tripods and the end part of the steel girder close to the two tripods are respectively.
Further, in the above method, calculating the maximum stress of each attachment node on the outrigger from the relationship between the fitted maximum stress of each attachment node and the reaction force applied thereto, includes:
the calculated most unfavorable node counter force pair (F) on the outer climbing framex＝ξTFx,Fz＝ξTFz) Are respectively substituted into sigma1max＝c1+kx 1Fx+kz 1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4FzObtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt in the four formulas1max、σ2max、σ3maxAnd σ4max。
Further, in the above method, calculating the safety factor of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame includes:
obtaining a hook, a climbing boot, a wall-attached support and an anchor according to the specification and the material of the attachment nodeThe maximum allowable stress value of the bolt is [ sigma ]1max]、[σ2max]、[σ3max]And [ sigma ]4max]The safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt are respectively K1＝[σ1max]/σ1max、K2＝[σ2max]/σ2max、K3＝[σ3max]/σ3max、K4＝[σ4max]/σ4max。
According to another aspect of the present invention, there is provided a system for calculating a safety factor of an attachment node of a climbing frame outside a hydraulic climbing formwork, comprising:
the relation module is used for establishing an entity finite element model of each attachment node of the outer climbing frame and fitting the relation between the maximum stress of each attachment node and the counter force borne by the attachment node;
the counter-force module is used for calculating the counter-force of the attachment node of the outer climbing frame by using an analytical formula;
the stress module is used for calculating the maximum stress of each attachment node on the outer climbing frame according to the relationship between the fitted maximum stress of each attachment node and the counter force borne by the attachment node;
and the safety coefficient module is used for calculating the safety coefficient of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame.
Further, in the system, the relationship module is used for respectively establishing entity finite element models of the hook, the climbing boot, the wall-attached support and the anchor bolt, applying boundary conditions according to actual engineering conditions, and inputting different vertical reaction force and horizontal reaction force pairs
Fitting to obtain the relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node
σ1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4Fz，
In the formula, σ1max、σ2max、σ3maxAnd σ4maxMaximum stress, F, of the hook, climbing boot, wall-attached support, anchor bolt, respectivelyxAnd FzRepresents the horizontal counter force and the vertical counter force of the outer climbing frame, (c)i,kxi,kzi) And (i is 1,2,3 and 4) are fitting coefficients of the hook, the climbing boot, the wall-attached support and the anchor bolt respectively.
Further, in the above system, the reaction force module is configured to establish a balance equation of the outer climbing frame from the horizontal direction, the vertical direction and the rotation direction to obtain a total horizontal reaction force TF of the outer climbing framexAnd vertical counter force TFz，
Namely, it isAnd TFz＝G+L，
In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively;
g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLHorizontal distances from the dead weight and the construction load acting point to the attachment node respectively;
hrthe height of the supporting frame of the outer climbing frame is (F) the most unfavorable node counter force pair on the outer climbing framex＝ξTFx,Fzξ＝Tz) In the formula F, the compound has a structure,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two tripods and the end part of the steel girder close to the two tripods are respectively.
Further, in the above system, the stress module is configured to calculate the most unfavorable node reaction force pair (F) on the outer climbing framex＝ξTFx,Fz＝ξTFz) Are respectively substituted into sigma1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4FzObtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt in the four formulas1max、σ2max、σ3maxAnd σ4max。
Further, in the above system, the safety factor module is configured to obtain the maximum allowable stress value of the hanger, the climbing shoe, the wall-attached support, and the anchor bolt according to the specification and material of the attachment node as [ σ ]1max]、[σ2max]、[σ3max]And [ sigma ]4max]The safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt are respectively K1＝[σ1max]/σ1max、K2＝[σ2max]/σ2max、K3＝[σ3max]/σ3max、K4＝[σ4max]/σ4max。
Compared with the prior art, the node counter force of the outer climbing frame of the hydraulic climbing formwork is solved according to the analytic relation, the maximum stress of the attachment nodes is obtained according to the linear relation between the maximum stress of the attachment nodes and the vertical counter force and the horizontal counter force of the attachment nodes, and the safety coefficient of the attachment nodes of the outer climbing frame is further obtained.
Drawings
Fig. 1 is a flowchart of a method and a system for calculating a safety factor of an attachment node of a climbing frame outside a hydraulic climbing formwork according to an embodiment of the present invention.
Detailed Description
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Example one
As shown in fig. 1, the present invention provides a method for calculating a safety factor of an attachment node of a climbing frame outside a hydraulic climbing formwork, including:
(1) establishing a solid finite element model of each attachment node of the outer climbing frame, and fitting the relationship between the maximum stress of each attachment node and the counter force borne by the attachment node; establishing a solid finite element model of each attachment node, and determining a linear relation between the maximum stress of each attachment node and horizontal counter force and vertical counter force borne by each attachment node;
(2) calculating the counter force of the attachment node of the outer climbing frame by using an analytical formula; the node counter force is solved according to the analytical relation among the hydraulic climbing formwork outer climbing frame attachment node counter force, the self weight, the wind load, the construction load, the position of the supporting tripod and the self appearance;
(3) calculating the maximum stress of each attachment node on the outer climbing frame according to the fitted relationship between the maximum stress of each attachment node and the counter force borne by the attachment node;
(4) and calculating the safety factor of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame. The invention is based here primarily on two points: (1) in actual engineering, all attachment nodes are required to work under an elastic condition, the constraint condition of a specific attachment node is determined, and the maximum stress of the specific attachment node has a linear relation with the maximum vertical reaction force and the maximum horizontal reaction force of the attachment node; (2) the counter force of the attachment node of the outer climbing frame of the hydraulic climbing formwork is related to the dead weight (G), the wind load (W), the construction load (L), the position of the supporting tripod and the external dimension of the attachment node, and can be obtained by an analytical method.
In one embodiment of the present invention, (1) the step of establishing an entity finite element model of each attachment node of the outer climbing frame, and fitting a relationship between a maximum stress of each attachment node and a reaction force borne by each attachment node comprises:
respectively establish a hook and a climbing bootThe solid finite element model of the wall-attached support and the anchor bolt applies boundary conditions according to the actual engineering conditions and inputs different vertical counter-force and horizontal counter-force pairsFitting to obtain the relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node
σ1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4Fz，
In the formula, σ1max、σ2max、σ3maxAnd σ4maxMaximum stress, F, of the hook, climbing boot, wall-attached support, anchor bolt, respectivelyxAnd FzRepresents the horizontal counter force and the vertical counter force of the outer climbing frame, (c)i,kxi,kzi) And (i is 1,2,3 and 4) are fitting coefficients of the hook, the climbing boot, the wall-attached support and the anchor bolt respectively.
In an embodiment of the present invention, (2) calculating the reaction force of the attachment node of the climbing frame by using an analytic formula includes:
establishing a balance equation of the outer climbing frame from the horizontal direction, the vertical direction and the rotating direction to obtain the total horizontal counter force TF of the outer climbing framexAnd vertical counter force TFz，
Namely, it is
And TFz＝G+L，
In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively;
g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLRespectively self-weight and weightThe horizontal distance between the work load action point and the attachment node;
hrthe height of the supporting frame of the outer climbing frame is (F) the most unfavorable node counter force pair on the outer climbing framex＝ξTFx,Fz＝ξTFz) In the formula (I), wherein,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two tripods and the end part of the steel girder close to the two tripods are respectively.
In an embodiment of the present invention, (3) calculating the maximum stress of each attachment node on the outer climbing frame according to the relationship between the fitted maximum stress of each attachment node and the reaction force borne by the attachment node, includes:
the calculated most unfavorable node counter force pair (F) on the outer climbing framex＝ξTFx,Fz＝ξTFz) Are respectively substituted into sigma1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4FzObtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt in the four formulas1max、σ2max、σ3maxAnd σ4max。
In an embodiment of the present invention, (4), calculating the safety factor of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame includes:
obtaining the maximum allowable stress value of [ sigma ] of the hook, the climbing boot, the wall-attached support and the anchor bolt according to the specification and the material of the attachment node1max]、[σ2max]、[σ3max]And [ sigma ]4max]The safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt are respectively K1＝[σ1max]/σ1max、K2＝[σ2max]/σ2max、K3＝[σ3max]/σ3max、K4＝[σ4max]/σ4max。
The specific steps of the invention are described in detail below with reference to fig. 1:
step (1), respectively establishing entity finite element models of a hook, a climbing boot, an attached wall support and an anchor bolt, applying boundary conditions according to the actual engineering conditions, and inputting different vertical counter-force and horizontal counter-force pairs
The relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node can be obtained by fitting
σ1max＝c1+kx1Fx+kz1Fz(1)
σ2max＝c2+kx2Fx+kz2Fz(2)
σ3max＝c3+kx3Fx+kz3Fz(3)
σ4max＝c4+kx4Fx+kz4Fz(4)
In the formula, σ1max、σ2max、σ3maxAnd σ4maxThe maximum stress of the hook, the climbing boot, the wall attaching support and the anchor bolt is respectively. FxAnd FzRespectively representing the horizontal counter force and the vertical counter force of the attachment node of the outer climbing frame.
(ci,kxi,kzi) And (i is 1,2,3 and 4) are fitting coefficients of the hook, the climbing boot, the wall-attached support and the anchor bolt respectively. In the same project, the specifications of the attachment nodes (the hook, the climbing boot, the wall attaching support and the anchor bolt) are consistent, the hook, the climbing boot, the entity finite element model of the wall attaching support and the anchor bolt only need to be established once, and the formula (1), the formula (2) and the formula (3) and the formula (4) also only need to be fitted once.
And (2) solving the horizontal counter force and the vertical counter force of the attachment node. Firstly, respectively calculating the total horizontal counter force (TF) of each outer climbing frame according to a formula (5) and a formula (6)x) And vertical counter force (TF)z)
TFz＝G+L (6)
The formula (5) and the formula (6) can be obtained by establishing a balance equation for the outward climbing frame from the horizontal direction, the vertical direction and the rotating direction. In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively; g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLHorizontal distances from the dead weight and the construction load acting point to the attachment node respectively; h isrThe height of the outer climbing frame support frame. Then, the most unfavorable node counter force pair of the climbing frame is calculated according to the formula (7) and the formula (8), namely
Fx＝ξTFx(7)
Fz＝ξTFz(8)
In the formula (I), the compound is shown in the specification,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two tripods and the end part of the steel girder close to the two tripods are respectively.
Step (3) calculating the most unfavorable node reaction force pair (F) of the outer climbing frame obtained in step (2)x＝ξTFx,Fz＝ξTFz) Respectively substituting into the formulas (1) to (4) in the step (1), obtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt1max、σ2max、σ3maxAnd σ4max。
And (4) respectively calculating the safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt on each external climbing frame according to a formula (9), a formula (10), a formula (11) and a formula (12)
K1＝[σ1max]/σ1max(9)
K2＝[σ2max]/σ2max(10)
K3＝[σ3max]/σ3max(11)
K4＝[σ4max]/σ4max(12)
Wherein [ sigma ]1max]、[σ2max]、[σ3max]And [ sigma ]4max]The maximum allowable stress values of the hook, the climbing boot, the wall-attached support and the anchor bolt can be obtained according to the material and specification of the corresponding node.
Example two
According to another aspect of the present invention, there is provided a system for calculating a safety factor of an attachment node of a climbing frame outside a hydraulic climbing formwork, comprising:
the relation module is used for establishing an entity finite element model of each attachment node of the outer climbing frame and fitting the relation between the maximum stress of each attachment node and the counter force borne by the attachment node;
the counter-force module is used for calculating the counter-force of the attachment node of the outer climbing frame by using an analytical formula;
the stress module is used for calculating the maximum stress of each attachment node on the outer climbing frame according to the relationship between the fitted maximum stress of each attachment node and the counter force borne by the attachment node;
and the safety coefficient module is used for calculating the safety coefficient of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame.
Further, in the system, the relationship module is used for respectively establishing entity finite element models of the hook, the climbing boot, the wall-attached support and the anchor bolt, applying boundary conditions according to actual engineering conditions, and inputting different vertical reaction force and horizontal reaction force pairs
Fitting to obtain the relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node
σ1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4Fz，
In the formula, σ1max、σ2max、σ3maxAnd σ4maxMaximum stress, F, of the hook, climbing boot, wall-attached support, anchor bolt, respectivelyxAnd FzRepresents the horizontal counter force and the vertical counter force of the outer climbing frame, (c)i,kxi,kzi) And (i is 1,2,3 and 4) are fitting coefficients of the hook, the climbing boot, the wall-attached support and the anchor bolt respectively.
Further, in the above system, the reaction force module is configured to establish a balance equation of the outer climbing frame from the horizontal direction, the vertical direction and the rotation direction to obtain a total horizontal reaction force TF of the outer climbing framexAnd vertical counter force TFz，
Namely, it isAnd TFz＝G+L，
In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively;
g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLHorizontal distances from the dead weight and the construction load acting point to the attachment node respectively;
hrthe height of the supporting frame of the outer climbing frame is (F) the most unfavorable node counter force pair on the outer climbing framex＝ξTFx,Fz＝ξTFz) In the formula (I), wherein,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two tripods and the end part of the steel girder close to the two tripods are respectively.
Further, in the above system, the stress module is configured to calculate the most unfavorable node reaction force pair (F) on the outer climbing framex＝ξTFx,Fz＝ξTFz) Are respectively substituted into sigma1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4FzObtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt in the four formulas1max、σ2max、σ3maxAnd σ4max。
Further, in the above system, the safety factor module is configured to obtain the maximum allowable stress value of the hanger, the climbing shoe, the wall-attached support, and the anchor bolt according to the specification and material of the attachment node as [ σ ]1max]、[σ2max]、[σ3max]And [ sigma ]4max]The safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt are respectively K1＝[σ1max]/σ1max、K2＝[σ2max]/σ2max、K3＝[σ3max]/σ3max、K4＝[σ4max]/σ4max。
For details of other embodiments, reference may be made to the corresponding parts of the first embodiment, which are not described herein again.
In conclusion, the node counter force of the outer climbing frame of the hydraulic climbing formwork is solved according to the analytical relationship, the maximum stress of the attachment nodes is obtained according to the linear relationship between the maximum stress of each attachment node and the vertical counter force and the horizontal counter force of the attachment node, and further the safety coefficient of the attachment node of each outer climbing frame is obtained, the method skillfully utilizes the fact that the attachment nodes in practical engineering all require to work under elastic conditions, the constraint conditions of the attachment nodes are determined, the maximum stress of the attachment nodes has a linear relationship with the maximum vertical counter force and the horizontal counter force of the attachment nodes, and the relations between the counter force of the attachment node of the hydraulic climbing formwork and the self-weight, the external load, the position of the supporting tripod and the self-shape of the attachment node of the hydraulic climbing formwork are obtained through the analytical method, the invention does not need to carry out finite element analysis on all the outer climbing frames in the super high-rise project to solve the attachment node counter force, avoids largely establishing an, high efficiency and accuracy, and provides technical support for guaranteeing the construction safety of the super high-rise core tube.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other.
Those of skill would further appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware, computer software, or combinations of both, and that the various illustrative components and steps have been described above generally in terms of their functionality in order to clearly illustrate this interchangeability of hardware and software. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the implementation. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
It will be apparent to those skilled in the art that various changes and modifications may be made in the invention without departing from the spirit and scope of the invention. Thus, if such modifications and variations of the present invention fall within the scope of the claims of the present invention and their equivalents, the present invention is also intended to include such modifications and variations.
Claims (4)
1. A method for calculating the safety coefficient of an attachment node of a climbing frame outside a hydraulic climbing formwork is characterized by comprising the following steps:
establishing an entity finite element model of each attachment node of the outer climbing frame, and fitting the relationship between the maximum stress of each attachment node and the counter force borne by each attachment node, wherein each attachment node of the outer climbing frame comprises a hook, a climbing boot, a wall attachment support and an anchor bolt;
calculating the counter force of the attachment node of the outer climbing frame by using an analytical formula;
calculating the maximum stress of each attachment node on the outer climbing frame according to the fitted relationship between the maximum stress of each attachment node and the counter force borne by the attachment node;
calculating the safety factor of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame;
establishing an entity finite element model of each attachment node of the outer climbing frame, and fitting the relationship between the maximum stress of each attachment node and the counter force borne by the attachment node, wherein the relationship comprises the following steps:
respectively establishing entity finite element models of a hook, a climbing boot, an attached wall support and an anchor bolt, applying boundary conditions according to actual engineering conditions, and inputting different vertical counter-force and horizontal counter-force pairsAnd fitting to obtain the relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node:
σ1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3Fzand sigma4max＝c4+kx4Fx+kz4Fz，
In the formula, σ1max、σ2max、σ3maxAnd σ4maxMaximum stress, F, of the hook, climbing boot, wall-attached support, anchor bolt, respectivelyxAnd FzHorizontal and vertical counter-forces representing the climbing frame, ci，kxi，kziRespectively, fitting coefficients, where i ═ 1,2,3, 4;
utilize analytic formula to calculate the counter-force of outer attached node of climbing the frame, include:
establishing a balance equation of the outer climbing frame from the horizontal direction, the vertical direction and the rotating direction to obtain the total horizontal counter force TF of the outer climbing framexAnd verticalTo counter force TFz，
Namely, it is
And TFz＝G+L，
In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively;
g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLThe horizontal distances from the dead weight and the construction load acting point to the attachment node are respectively;
hrthe height of the supporting frame of the outer climbing frame is (F) the most unfavorable node counter force pair on the outer climbing framex＝ξTFx,Fz＝ξTFz) In the formula (I), wherein,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two triangular frames and the end part of the steel girder close to the triangular frames are respectively;
calculating the maximum stress of each attachment node on the outer climbing frame according to the relationship between the fitted maximum stress of each attachment node and the counter force borne by the attachment node, and the method comprises the following steps:
the calculated most unfavorable node counter force pair (F) on the outer climbing framex＝ξTFx,Fz＝ξTFz) Are respectively substituted into sigma1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4FzObtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt in the four formulas1max、σ2max、σ3maxAnd σ4max。
2. The method for calculating the safety factor of the attachment node of the outer climbing frame of the hydraulic climbing formwork according to claim 1, wherein the step of calculating the safety factor of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame comprises the following steps:
obtaining the maximum allowable stress value of [ sigma ] of the hook, the climbing boot, the wall-attached support and the anchor bolt according to the specification and the material of the attachment node1max]、[σ2max]、[σ3max]And [ sigma ]4max]The safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt are respectively K1＝[σ1max]/σ1max、K2＝[σ2max]/σ2max、K3＝[σ3max]/σ3max、K4＝[σ4max]/σ4max。
3. The utility model provides a hydraulic pressure climbing formwork outer climbing frame adheres to computing system of node factor of safety which characterized in that includes:
the relation module is used for establishing an entity finite element model of each attachment node of the outer climbing frame and fitting the relation between the maximum stress of each attachment node and the counter force borne by each attachment node, wherein each attachment node of the outer climbing frame comprises a hook, a climbing boot, a wall attachment support and an anchor bolt;
the counter-force module is used for calculating the counter-force of the attachment node of the outer climbing frame by using an analytical formula;
the stress module is used for calculating the maximum stress of each attachment node on the outer climbing frame according to the relationship between the fitted maximum stress of each attachment node and the counter force borne by the attachment node;
the safety coefficient module is used for calculating the safety coefficient of each attachment node on the outer climbing frame according to the calculated maximum stress of each attachment node on the outer climbing frame;
the relation module is used for respectively establishing entity finite element models of the hook, the climbing boot, the wall-attached support and the anchor bolt, applying boundary conditions according to actual engineering conditions, and inputting different vertical counter-force and horizontal counter-force pairs
And fitting to obtain the relationship between the maximum stress and the horizontal counter force and the vertical counter force of the attachment node:
σ1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3Fzand sigma4max＝c4+kx4Fx+kz4Fz，
In the formula, σ1max、σ2max、σ3maxAnd σ4maxMaximum stress, F, of the hook, climbing boot, wall-attached support, anchor bolt, respectivelyxAnd FzHorizontal and vertical counter-forces representing the climbing frame, ci，kxi，kziRespectively, fitting coefficients, where i ═ 1,2,3, 4;
the counter force module is used for establishing a balance equation of the outer climbing frame from the horizontal direction, the vertical direction and the rotating direction to obtain the total horizontal counter force TF of the outer climbing framexAnd vertical counter force TFz，
Namely, it isAnd TFz＝G+L，
In the formula, W1And W2Respectively the outside wind load and the inside wind load of the outer climbing frame, h1And h2The vertical distances from the acting points of the outer side wind load and the inner side wind load to the attachment nodes are respectively;
g and L are respectively the self weight and the construction load of the outer climbing frame, hgAnd hLThe horizontal distances from the dead weight and the construction load acting point to the attachment node are respectively;
hrthe height of the supporting frame of the outer climbing frame is (F) the most unfavorable node counter force pair on the outer climbing framex＝ξTFx,Fz＝ξTFz) In the formula (I), wherein,
l0the distance between two triangular frames on the outer climbing frame is l1And l2The distances between the two triangular frames and the end part of the steel girder close to the triangular frames are respectively;
the stress module is used for calculating the most unfavorable node counter force pair (F) on the outer climbing framex＝ξTFx,Fz＝ξTFz) Are respectively substituted into sigma1max＝c1+kx1Fx+kz1Fz、σ2max＝c2+kx2Fx+kz2Fz、σ3max＝c3+kx3Fx+kz3FzAnd sigma4max＝c4+kx4Fx+kz4FzObtaining the maximum stress sigma of the hook, the climbing boot, the wall-attached support and the anchor bolt in the four formulas1max、σ2max、σ3maxAnd σ4max。
4. The system for calculating the safety factor of the attachment node of the creeper outside the hydraulic creeper model according to claim 3, wherein the safety factor module is used for obtaining the maximum allowable stress value of [ sigma ] of the hook, the climbing boot, the wall-attached support and the anchor bolt according to the specification and the material of the attachment node1max]、[σ2max]、[σ3max]And [ sigma ]4max]The safety factors of the hook, the climbing boot, the wall-attached support and the anchor bolt are respectively K1＝[σ1max]/σ1max、K2＝[σ2max]/σ2max、K3＝[σ3max]/σ3max、K4＝[σ4max]/σ4max。
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