CN113221213A - Suspension bridge gravity type anchorage comprehensive safety evaluation method and device - Google Patents
Suspension bridge gravity type anchorage comprehensive safety evaluation method and device Download PDFInfo
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- CN113221213A CN113221213A CN202110476309.8A CN202110476309A CN113221213A CN 113221213 A CN113221213 A CN 113221213A CN 202110476309 A CN202110476309 A CN 202110476309A CN 113221213 A CN113221213 A CN 113221213A
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Abstract
The invention provides a suspension bridge gravity type anchorage comprehensive safety evaluation method and equipment. The method comprises the following steps: acquiring foundation bearing capacity subjected to depth and width correction, a base stress maximum value and a base stress minimum value, and if the base stress maximum value is smaller than the foundation bearing capacity subjected to depth and width correction and the base stress minimum value is larger than zero, ensuring that the foundation is safely borne; acquiring an anti-sliding stability coefficient of the abutment foundation and an anti-overturning stability coefficient of the abutment foundation, wherein if the anti-sliding stability coefficient of the abutment foundation is larger than or equal to a first threshold value and the anti-overturning stability coefficient of the abutment foundation is larger than or equal to a second threshold value, the anchorage is integrally stable; and obtaining horizontal displacement according to the product of the shear strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the foundation thickness, and if the horizontal displacement is smaller than or equal to a third threshold value and the vertical displacement is smaller than or equal to a fourth threshold value, stabilizing the deformation of the anchorage foundation. The invention provides a foundation for the optimization design and safety monitoring of the suspension bridge gravity type anchorage.
Description
Technical Field
The embodiment of the invention relates to the technical field of bridge engineering, in particular to a method and equipment for evaluating the comprehensive safety of a gravity type anchorage of a suspension bridge.
Background
The gravity type anchorage mainly depends on the self weight of the anchorage or the self weight of a rock-soil body locked by the anchorage on the basis of balancing the vertical component of the main cable, and depends on the vertical residual force to act on the foundation to form a normal force so that the anchorage and the foundation rub against each other to generate frictional force to balance the horizontal component of the main cable, so as to form effective bearing, which is a mechanical mechanism for friction bearing of all gravity type anchorages. The bearing of the gravity type anchorage is realized under the combined action of the anchorage and the foundation, and the whole safety of the ground anchorage type suspension bridge can be ensured only by carrying out comprehensive system evaluation on an anchorage-foundation system. At present, the evaluation mode of the suspension bridge gravity type anchorage is complex to operate, the evaluation result is also split, the limit states revealed by different indexes are different, different safety standards are also experience values, and the transverse comparability is absent. Therefore, it is an urgent technical problem in the art to develop a method and an apparatus for evaluating the comprehensive safety of a suspension bridge gravity type anchorage, which can effectively overcome the above-mentioned defects in the related art.
Disclosure of Invention
Aiming at the problems in the prior art, the embodiment of the invention provides a method and equipment for evaluating the comprehensive safety of a suspension bridge gravity type anchorage.
In a first aspect, an embodiment of the present invention provides a method for evaluating comprehensive safety of a suspension bridge gravity type anchorage, including: obtaining foundation bearing capacity subjected to depth and width correction, and obtaining a maximum value of base stress and a minimum value of the base stress according to the sum of bottom projection area, base eccentric direction area resisting moment, bending moment of horizontal force and vertical force on a gravity center shaft and vertical force; determining the anti-slip stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-slip horizontal forces and the sum of the sliding horizontal forces, determining the anti-slip stability coefficient of the abutment foundation according to the distance from the center of gravity of the section to the checking calculation overturning shaft and the ratio of the external force resultant force to the eccentric distance from the checking calculation section action point to the base gravity center shaft, and if the anti-slip stability coefficient of the abutment foundation is greater than or equal to a first threshold value, and the anti-slip stability coefficient of the abutment foundation is greater than or equal to a second threshold value, then the anchorage is integrally stable; and obtaining horizontal displacement according to the product of the shear strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the foundation thickness, and if the horizontal displacement is less than or equal to a third threshold value and the vertical displacement is less than or equal to a fourth threshold value, the anchorage foundation deforms stably.
On the basis of the content of the embodiment of the method, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention for obtaining the bearing capacity of the foundation subjected to depth and width correction comprises the following steps:
fa＝fa0+k1γ1(b-2)+k2γ2(h-3)
wherein f isaThe bearing capacity of the foundation subjected to depth and width correction; f. ofa0A base formation tolerance provided for exploration; k is a radical of1And k2Designing standard parameters for dimensionless; gamma ray1Is the natural volume weight of the stratum at the base; gamma ray2The volume weight of the backfill soil is calculated; b is the base width; h is the substrate buried depth.
On the basis of the content of the embodiment of the method, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention comprises the following steps of obtaining the maximum value and the minimum value of the base stress according to the sum of the bottom projection area, the area resisting moment of the eccentric direction of the base, the bending moment of the horizontal force and the vertical force relative to the gravity center shaft and the vertical force, wherein the method comprises the following steps:
wherein A is the bottom projection area; b is the transverse width; l is the axial length; w is the area resisting moment of the substrate in the eccentric direction; m is a bending moment of the horizontal force and the vertical force on the gravity center shaft; sigma PiIs the sum of the vertical forces; piIs the ith vertical force; sigmaminIs the minimum value of the substrate stress; sigmamaxIs the substrate stress maximum.
On the basis of the content of the embodiment of the method, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention comprises the following steps of determining the anti-sliding stability coefficient of the abutment foundation according to the sum of the vertical force, the sum of the anti-sliding horizontal force and the sum of the sliding horizontal force, wherein the method comprises the following steps:
wherein k isaThe coefficient of the anti-sliding stability of the pier foundation; μ is the friction factor between the substrate and the foundation; sigma TiPIs the sum of the anti-skid horizontal force; t isiPThe ith anti-skid horizontal force; sigma TiaIs the sum of the sliding horizontal forces; t isiaIs the ith sliding horizontal force.
On the basis of the content of the embodiment of the method, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention determines the anti-overturning stability coefficient of the pier foundation according to the distance from the center of gravity of the section to the checking and calculating overturning shaft and the ratio of the eccentric distance of the resultant force of the external force from the action point of the checking and calculating section to the gravity center axis of the base, and comprises the following steps:
wherein k iscThe coefficient of the anti-overturning stability of the pier foundation; s is the distance from the center of gravity of the section to the trial overturning shaft; e.g. of the type0Calculating the eccentricity from the acting point of the section to the gravity axis of the substrate for the resultant force of the external force; e.g. of the typeiCalculating the force arm of the gravity center of the section for the ith vertical force pair; hiIs the ith horizontal force; h isiAnd calculating the force arm of the gravity center of the section for the ith horizontal force pair.
On the basis of the content of the embodiment of the method, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention comprises the following steps of:
Sh＝γL
wherein S ishIs horizontal displacement; gamma is shear strain; τ is the shear stress; λ is the ground poisson ratio; e is the modulus of elasticity of the foundation.
On the basis of the content of the embodiment of the method, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention comprises the following steps of:
Sv＝εH
wherein S isvIs a vertical displacement; epsilon is compressive strain; h is the thickness of the foundation; σ is the normal stress.
In a second aspect, an embodiment of the present invention provides a suspension bridge gravity type anchorage comprehensive safety evaluation device, including: the first main module is used for acquiring the bearing capacity of the foundation subjected to depth and width correction, and obtaining the maximum value and the minimum value of the stress of the foundation according to the sum of the bottom projection area, the area resisting moment of the eccentric direction of the foundation, the bending moment of the horizontal force and the vertical force on the gravity center shaft and the vertical force; the second main module is used for determining the anti-slip stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-slip horizontal forces and the sum of the sliding horizontal forces, determining the anti-overturning stability coefficient of the abutment foundation according to the distance from the center of gravity of the section to the checking and calculating overturning shaft and the ratio of the resultant force of the external force to the eccentric distance from the checking and calculating section action point to the base gravity center shaft, and if the anti-slip stability coefficient of the abutment foundation is larger than or equal to a first threshold value and the anti-overturning stability coefficient of the abutment foundation is larger than or equal to a second threshold value, stabilizing the whole anchorage; and the third main module is used for obtaining horizontal displacement according to the product of the shearing strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the thickness of the foundation, and if the horizontal displacement is smaller than or equal to a third threshold value and the vertical displacement is smaller than or equal to a fourth threshold value, the anchorage foundation deforms stably.
In a third aspect, an embodiment of the present invention provides an electronic device, including:
at least one processor; and at least one memory communicatively coupled to the processor, wherein:
the memory stores program instructions executable by the processor, and the processor calls the program instructions to execute the suspension bridge gravity type anchorage comprehensive safety evaluation method provided by any one of the various implementation manners of the first aspect.
In a fourth aspect, an embodiment of the present invention provides a non-transitory computer-readable storage medium, where the non-transitory computer-readable storage medium stores computer instructions, and the computer instructions enable a computer to execute the method for evaluating the comprehensive security of a suspension bridge gravity type anchor provided in any one of the various implementation manners of the first aspect.
According to the method and the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage, provided by the embodiment of the invention, the foundation stability evaluation result is obtained by comparing the maximum value of the stress of the foundation with the bearing capacity of the foundation subjected to depth and width correction; obtaining an anchorage overall stability evaluation result according to the anti-sliding stability coefficient of the abutment foundation and the anti-overturning stability coefficient of the abutment foundation; the evaluation result of the deformation stability of the anchorage foundation is obtained according to the horizontal displacement and the vertical displacement, the safety performance of the suspension bridge gravity type anchorage can be fully covered, the defect of poor comparability of finite element calculation is overcome, the method has the characteristics of simplicity and convenience in operation, and a foundation is provided for optimization design and safety monitoring of the suspension bridge gravity type anchorage.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, a brief description will be given below to the drawings required for the description of the embodiments or the prior art, and it is obvious that the drawings in the following description are some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without creative efforts.
Fig. 1 is a flow chart of a method for evaluating the comprehensive safety of a suspension bridge gravity type anchorage provided by the embodiment of the invention;
fig. 2 is a schematic structural diagram of a suspension bridge gravity type anchorage comprehensive safety evaluation device provided by the embodiment of the invention;
fig. 3 is a schematic physical structure diagram of an electronic device according to an embodiment of the present invention;
fig. 4 is a schematic view of an acting force effect of a gravity type anchorage provided by the embodiment of the invention;
FIG. 5 is a schematic diagram illustrating the effect of the foundation action system according to the embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, 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 some, but not all, embodiments of the present invention. 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. In addition, technical features of various embodiments or individual embodiments provided by the present invention may be arbitrarily combined with each other to form a feasible technical solution, and such combination is not limited by the sequence of steps and/or the structural composition mode, but must be realized by a person skilled in the art, and when the technical solution combination is contradictory or cannot be realized, such a technical solution combination should not be considered to exist and is not within the protection scope of the present invention.
And establishing a simplified mechanical model and an action system of the gravity type anchorage-foundation combined bearing system. And then integrating three aspects related to gravity type anchorage safety evaluation, namely foundation stability evaluation, structural integral stability evaluation and deformation stability evaluation, and five indexes, namely base stress, anti-slip stability coefficient, anti-overturning stability coefficient, horizontal displacement and vertical displacement, and safety standards corresponding to the indexes. And finally, selecting the minimum value as the characteristic value of the ultimate bearing performance of the gravity type anchorage-foundation system according to the ultimate state revealed by each index, and taking the most sensitive index as the key point of safety monitoring. Based on the thought, the embodiment of the invention provides a comprehensive safety evaluation method for a suspension bridge gravity type anchorage, and referring to fig. 1, the method comprises the following steps: obtaining foundation bearing capacity subjected to depth and width correction, and obtaining a maximum value of base stress and a minimum value of the base stress according to the sum of bottom projection area, base eccentric direction area resisting moment, bending moment of horizontal force and vertical force on a gravity center shaft and vertical force; determining the anti-slip stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-slip horizontal forces and the sum of the sliding horizontal forces, determining the anti-slip stability coefficient of the abutment foundation according to the distance from the center of gravity of the section to the checking calculation overturning shaft and the ratio of the external force resultant force to the eccentric distance from the checking calculation section action point to the base gravity center shaft, and if the anti-slip stability coefficient of the abutment foundation is greater than or equal to a first threshold value, and the anti-slip stability coefficient of the abutment foundation is greater than or equal to a second threshold value, then the anchorage is integrally stable; and obtaining horizontal displacement according to the product of the shear strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the foundation thickness, and if the horizontal displacement is less than or equal to a third threshold value and the vertical displacement is less than or equal to a fourth threshold value, the anchorage foundation deforms stably.
Based on the content of the method embodiment, as an optional embodiment, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention for obtaining the foundation bearing capacity subjected to depth and width correction comprises the following steps:
fa＝fa0+k1γ1(b-2)+k2γ2(h-3) (1)
wherein f isaThe bearing capacity of the foundation subjected to depth and width correction; f. ofa0A base formation tolerance provided for exploration; k is a radical of1And k2Designing standard parameters for dimensionless; gamma ray1Is the natural volume weight of the stratum at the base; gamma ray2The volume weight of the backfill soil is calculated; b is the base width; h is the substrate buried depth.
Specifically, evaluation contents and evaluation indexes about gravity type anchors in road bridge culvert foundation and foundation design specification JTG D62-2015 and road suspension bridge design specification JTG/T D65-05-2015 are integrated under the same simplified mechanical model and action force system, and an elastic mechanical formula and a method for displacement calculation are supplemented. Aiming at the evaluation of foundation stability, on the basis of the proposed value of allowable bearing capacity of a foundation stratum provided by investigation, depth and width correction is carried out on the bearing capacity according to 'design specification of highway bridge foundation and foundation' JTG D62-2015 by combining the geometric design of an anchorage as shown in formula (1).
Based on the content of the above method embodiment, as an optional embodiment, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention includes the following steps of obtaining the maximum value and the minimum value of the base stress according to the sum of the base projection area, the base eccentric direction area resisting moment, the bending moment of the horizontal force and the vertical force to the gravity center axis, and the vertical force, wherein the method includes:
wherein A is the bottom projection area; b is the transverse width; l is the axial length; w is the area resisting moment of the substrate in the eccentric direction; m is a bending moment of the horizontal force and the vertical force on the gravity center shaft; sigma PiIs the sum of the vertical forces; piIs the ith vertical force; sigmaminIs the minimum value of the substrate stress; sigmamaxIs the substrate stress maximum.
Specifically, according to the road bridge foundation and foundation design specification JTG D62-2015, by combining with the geometric design of an anchor (calculating the area and the resisting moment according to the plane projection condition), the bending moment of each force on the gravity center axis is calculated according to a simplified mechanical model, and the bending moments are substituted into the formulas (2) to (4) to obtain the maximum value and the minimum value of the base stress. If σmax＜faAnd sigmaminIf the bearing capacity is larger than 0, the bearing capacity of the foundation is safe, otherwise, the bearing capacity of the foundation is unsafe.
Based on the content of the method embodiment, as an optional embodiment, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided by the embodiment of the invention determines the anti-sliding stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-sliding horizontal forces and the sum of the sliding horizontal forces, and comprises the following steps:
wherein k isaThe coefficient of the anti-sliding stability of the pier foundation; μ is the friction factor between the substrate and the foundation; sigma TiPIs the sum of the anti-skid horizontal force; t isiPThe ith anti-skid horizontal force; sigma TiaIs the sum of the sliding horizontal forces; t isiaIs the ith sliding horizontal force.
Specifically, according to an anchor elevation provided by design, 1 irregular hollow-shaped area and 1 external integral-property area are generated by using a region command under CAD, an entity area is generated by subtracting a hollow part from an external area su, then a mass center coordinate of the entity part is solved by using a massprop command, and a subsequent heavy axis is performed accordingly. The sum of the vertical forces in the simplified mechanical model is determined from the design drawing, as shown in fig. 4. The vertical force sum generally comprises a vertical component Pv of a main cable force P, pier loads P20 and P21 above an anchorage, anchorage weight G and overlying soil mass weight Gs; the sum of the anti-sliding horizontal forces generally comprises the shear resistance horizontal force T of the rock-soil body clamped by the tooth ridges, namely c A1+ mu 1(G-Pv + Gs + P21+ P20), the area of the foundation of the A1 buttress, c is the cohesive force of the foundation of the buttress foundation rock-soil body, and mu 1 is the tangent value of the internal friction angle of the foundation of the buttress foundation rock-soil body; the total sliding horizontal force generally comprises the main cable force horizontal component, and is substituted into the formula (5) to obtain the anti-sliding stability coefficient of the abutment foundation.
Based on the content of the method embodiment, as an optional embodiment, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention includes the following steps of determining an anti-overturning stability coefficient of a pier foundation according to a ratio of a distance from a section gravity center to a checking and calculating overturning axis and an eccentricity of a resultant force of an external force between a checking and calculating section action point and a base gravity center axis, including:
wherein k iscThe coefficient of the anti-overturning stability of the pier foundation; s is the distance from the center of gravity of the section to the trial overturning shaft; e.g. of the type0Calculating the eccentricity from the acting point of the section to the gravity axis of the substrate for the resultant force of the external force; e.g. of the typeiCalculating the force arm of the gravity center of the section for the ith vertical force pair; hiIs the ith horizontal force; h isiAnd calculating the force arm of the gravity center of the section for the ith horizontal force pair.
Specifically, according to the design specification of highway bridge and culvert foundation and foundation JTG D62-2015, the anti-overturning stability coefficient of the pier foundation is obtained by combining the anchor design drawing provided by design, as shown in formula (6). The anti-sliding stability coefficient of the abutment foundation is specified according to the design specification JTG/T D65-05-2015 8.4.1 of the highway suspension bridge, and the use stage is not less than 2.0 (namely, a first threshold); and the coefficient of the anti-overturning stability of the pier foundation is not less than 2.0 (namely a second threshold) in the using stage.
Based on the content of the above method embodiment, as an optional embodiment, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention, where the horizontal displacement is obtained according to the product of the shear strain and the axial length, includes:
Sh＝γL (8)
wherein S ishIs horizontal displacement; gamma is shear strain; τ is the shear stress; λ is the ground poisson ratio; e is the modulus of elasticity of the foundation.
Based on the content of the method embodiment, as an optional embodiment, the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention, where the vertical displacement is obtained according to the product of the compressive strain and the thickness of the foundation, includes:
Sv＝εH (11)
wherein S isvIs a vertical displacement; epsilon is compressive strain; h is the thickness of the foundation; σ is the normal stress.
Specifically, the effect of normal stress and shear stress can be seen in fig. 5, with normal stress σ perpendicular to the foundation and shear stress τ parallel to the foundation. According to the specification JTG/T D65-05-2015 8.4.3, the horizontal displacement is not more than 0.0001 times of the main span (namely, a third threshold); the vertical displacement is preferably not greater than 0.0002 times the main span (i.e. the fourth threshold).
According to the method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage, provided by the embodiment of the invention, the foundation stability evaluation result is obtained by comparing the maximum stress value of the foundation with the bearing capacity of the foundation subjected to depth and width correction, the integral stability evaluation result of the anchorage is obtained according to the anti-slip stability coefficient of the abutment foundation and the anti-overturning stability coefficient of the abutment foundation, the evaluation result of the deformation stability of the anchorage foundation is obtained according to horizontal displacement and vertical displacement, the safety performance of the suspension bridge gravity type anchorage can be fully covered, the defect of poor finite element comparability calculation is avoided, the method has the characteristics of simplicity and convenience in operation, and a foundation is provided for the optimization design and safety monitoring of the suspension bridge gravity type anchorage.
Five indexes of three parts related to the traditional gravity type anchorage safety evaluation are split, and the safety standard of each index is irrelevant, so that whether the obtained safety can be completely covered is questioned, and the respective evaluation systems and the calculation methods are not directly connected; the traditional gravity type anchorage deformation stability evaluation is specified without listing a specific calculation method, only the evaluation is suggested through finite element calculation, different software and constitutive relation possibly have differences, comparability is not strong, and the standard for specifying deformation stability is derived from an upper structure and is not a control standard obtained by a limit state obtained by the reverse calculation of a system; the suspension bridge gravity type anchorage comprehensive safety evaluation method provided by the patent is characterized in that five indexes are obtained under three aspects of the same simplified mechanical model and the same simplified force system, and the mechanical states corresponding to the limit states disclosed by the indexes are consistent, so that the obtained limit indexes are comparable; the comprehensive safety evaluation method for the suspension bridge gravity type anchorage provided by the patent comprises the following steps of firstly, elastic design; the calculation parameters of the method are few, and the method is simple and operable; the results are convenient to check, because the results of the elastic calculations for different software equivalences are generally unique. The gravity type anchorage-foundation combined bearing system can realize system safety evaluation of the gravity type anchorage-foundation combined bearing system, guarantees overall safety, and indicates directions for optimization design and safety monitoring.
The implementation basis of the various embodiments of the present invention is realized by programmed processing performed by a device having a processor function. Therefore, in engineering practice, the technical solutions and functions thereof of the embodiments of the present invention can be packaged into various modules. Based on the actual situation, on the basis of the above embodiments, the embodiments of the present invention provide a device for evaluating the comprehensive safety of a suspension bridge gravity type anchorage, where the device is used to execute the method for evaluating the comprehensive safety of a suspension bridge gravity type anchorage in the above method embodiments. Referring to fig. 2, the apparatus includes: the first main module is used for acquiring the bearing capacity of the foundation subjected to depth and width correction, and obtaining the maximum value and the minimum value of the stress of the foundation according to the sum of the bottom projection area, the area resisting moment of the eccentric direction of the foundation, the bending moment of the horizontal force and the vertical force on the gravity center shaft and the vertical force; the second main module is used for determining the anti-slip stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-slip horizontal forces and the sum of the sliding horizontal forces, determining the anti-overturning stability coefficient of the abutment foundation according to the distance from the center of gravity of the section to the checking and calculating overturning shaft and the ratio of the resultant force of the external force to the eccentric distance from the checking and calculating section action point to the base gravity center shaft, and if the anti-slip stability coefficient of the abutment foundation is larger than or equal to a first threshold value and the anti-overturning stability coefficient of the abutment foundation is larger than or equal to a second threshold value, stabilizing the whole anchorage; and the third main module is used for obtaining horizontal displacement according to the product of the shearing strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the thickness of the foundation, and if the horizontal displacement is smaller than or equal to a third threshold value and the vertical displacement is smaller than or equal to a fourth threshold value, the anchorage foundation deforms stably.
According to the comprehensive safety evaluation device for the suspension bridge gravity type anchorage, provided by the embodiment of the invention, a plurality of modules in a diagram 2 are adopted, a foundation stability evaluation result is obtained by comparing the maximum value of the base stress with the bearing capacity of a foundation subjected to depth and width correction, an anchorage overall stability evaluation result is obtained according to the anti-sliding stability coefficient of an abutment foundation and the anti-overturning stability coefficient of the abutment foundation, an anchorage foundation deformation stability evaluation result is obtained according to horizontal displacement and vertical displacement, the safety performance of the suspension bridge gravity type anchorage can be fully covered, the defect of poor finite element calculation comparability is avoided, the device has the characteristics of simplicity and convenience in operation, and a foundation is provided for optimization design and safety monitoring of the suspension bridge gravity type anchorage.
It should be noted that, the apparatus in the apparatus embodiment provided by the present invention may be used for implementing methods in other method embodiments provided by the present invention, except that corresponding function modules are provided, and the principle of the apparatus embodiment provided by the present invention is basically the same as that of the apparatus embodiment provided by the present invention, so long as a person skilled in the art obtains corresponding technical means by combining technical features on the basis of the apparatus embodiment described above, and obtains a technical solution formed by these technical means, on the premise of ensuring that the technical solution has practicability, the apparatus in the apparatus embodiment described above may be modified, so as to obtain a corresponding apparatus class embodiment, which is used for implementing methods in other method class embodiments. For example:
based on the content of the above device embodiment, as an optional embodiment, the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention further includes: the first submodule is used for realizing the acquisition of the foundation bearing capacity subjected to the depth and width correction, and comprises:
fa＝fa0+k1γ1(b-2)+k2γ2(h-3)
wherein f isaThe bearing capacity of the foundation subjected to depth and width correction; f. ofa0A base formation tolerance provided for exploration; k is a radical of1And k2Designing standard parameters for dimensionless; gamma ray1Is the natural volume weight of the stratum at the base; gamma ray2The volume weight of the backfill soil is calculated; b is the base width; h is the substrate buried depth.
Based on the content of the above device embodiment, as an optional embodiment, the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention further includes: the second submodule is used for realizing the sum of the bending moment and the vertical force of the horizontal force and the vertical force on the gravity center shaft according to the bottom projection area, the area resisting moment of the eccentric direction of the base, and the base stress maximum value and the base stress minimum value, and comprises:
wherein A is the bottom projection area; b is the transverse width; l is the axial length; w is the area resisting moment of the substrate in the eccentric direction; m is a bending moment of the horizontal force and the vertical force on the gravity center shaft; sigma PiIs the sum of the vertical forces; piIs the ith vertical force; sigmaminIs the minimum value of the substrate stress; sigmamaxIs the substrate stress maximum.
Based on the content of the above device embodiment, as an optional embodiment, the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention further includes: and the third submodule is used for determining the anti-sliding stability coefficient of the abutment foundation according to the vertical force sum, the anti-sliding horizontal force sum and the sliding horizontal force sum, and comprises:
wherein k isaThe coefficient of the anti-sliding stability of the pier foundation; μ is the friction factor between the substrate and the foundation; sigma TiPIs the sum of the anti-skid horizontal force; t isiPThe ith anti-skid horizontal force; sigma TiaIs the sum of the sliding horizontal forces; t isiaIs the ith sliding horizontal force.
Based on the content of the above device embodiment, as an optional embodiment, the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention further includes: the fourth submodule is used for determining the anti-overturning stability coefficient of the abutment foundation according to the ratio of the distance from the center of gravity of the section to the checking calculation overturning shaft and the eccentricity of the resultant force of the external force from the action point of the checking calculation section to the gravity center axis of the base, and comprises:
wherein k iscThe coefficient of the anti-overturning stability of the pier foundation; s is the distance from the center of gravity of the section to the trial overturning shaft; e.g. of the type0Calculating the eccentricity from the acting point of the section to the gravity axis of the substrate for the resultant force of the external force; e.g. of the typeiCalculating the force arm of the gravity center of the section for the ith vertical force pair; hiIs the ith horizontal force; h isiIs checked for the ith horizontal forceCalculating the moment arm of the center of gravity of the cross section.
Based on the content of the above device embodiment, as an optional embodiment, the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention further includes: a fifth sub-module for implementing said obtaining horizontal displacement from a product of shear strain and axial length, comprising:
Sh＝γL
wherein S ishIs horizontal displacement; gamma is shear strain; τ is the shear stress; λ is the ground poisson ratio; e is the modulus of elasticity of the foundation.
Based on the content of the above device embodiment, as an optional embodiment, the device for evaluating the comprehensive safety of the suspension bridge gravity type anchorage provided in the embodiment of the present invention further includes: a sixth submodule, configured to implement that the vertical displacement is obtained according to a product of the compressive strain and the thickness of the foundation, including:
Sv＝εH
wherein S isvIs a vertical displacement; epsilon is compressive strain; h is the thickness of the foundation; σ is the normal stress.
The method of the embodiment of the invention is realized by depending on the electronic equipment, so that the related electronic equipment is necessarily introduced. To this end, an embodiment of the present invention provides an electronic apparatus, as shown in fig. 3, including: the system comprises at least one processor (processor), a communication Interface (communication Interface), at least one memory (memory) and a communication bus, wherein the at least one processor, the communication Interface and the at least one memory are communicated with each other through the communication bus. The at least one processor may invoke logic instructions in the at least one memory to perform all or a portion of the steps of the methods provided by the various method embodiments described above.
In addition, the logic instructions in the at least one memory may be implemented in software functional units and stored in a computer readable storage medium when sold or used as a stand-alone product. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the method embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk or an optical disk, and other various media capable of storing program codes.
The above-described embodiments of the apparatus are merely illustrative, and the units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of the present embodiment. One of ordinary skill in the art can understand and implement it without inventive effort.
Through the above description of the embodiments, those skilled in the art will clearly understand that each embodiment can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware. With this understanding in mind, the above-described technical solutions may be embodied in the form of a software product, which can be stored in a computer-readable storage medium such as ROM/RAM, magnetic disk, optical disk, etc., and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the methods described in the embodiments or some parts of the embodiments.
The flowchart and block diagrams in the figures illustrate the architecture, functionality, and operation of possible implementations of systems, methods and computer program products according to various embodiments of the present invention. Based on this recognition, each block in the flowchart or block diagrams may represent a module, a program segment, or a portion of code, which comprises one or more executable instructions for implementing the specified logical function(s). It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks shown in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It will also be noted that each block of the block diagrams and/or flowchart illustration, and combinations of blocks in the block diagrams and/or flowchart illustration, can be implemented by special purpose hardware-based systems which perform the specified functions or acts, or combinations of special purpose hardware and computer instructions.
In this patent, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (10)
1. A comprehensive safety evaluation method for suspension bridge gravity type anchorages is characterized in that the comprehensive safety is realized in the cooperative safety of three parts of foundation bearing safety, anchorage structure integral stability, anchorage-foundation system deformation stability and the like, and the comprehensive safety evaluation method comprises the following steps: obtaining foundation bearing capacity subjected to depth and width correction, and obtaining a maximum value of foundation stress and a minimum value of the foundation stress according to the sum of the projection area of the foundation, the area resisting moment in the eccentric direction of the foundation, the bending moment of the horizontal force and the vertical force on the gravity center shaft and the vertical force; determining the anti-slip stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-slip horizontal forces and the sum of the sliding horizontal forces, determining the anti-slip stability coefficient of the abutment foundation according to the distance from the center of gravity of the section to the checking calculation overturning shaft and the ratio of the external force resultant force to the eccentric distance from the checking calculation section action point to the base gravity center shaft, and if the anti-slip stability coefficient of the abutment foundation is greater than or equal to a first threshold value, and the anti-slip stability coefficient of the abutment foundation is greater than or equal to a second threshold value, then the anchorage is integrally stable; and obtaining horizontal displacement according to the product of the shear strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the foundation thickness, and if the horizontal displacement is less than or equal to a third threshold value and the vertical displacement is less than or equal to a fourth threshold value, the anchorage foundation deforms stably.
2. The method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage according to claim 1, wherein the step of obtaining the foundation bearing capacity corrected by the depth and the width comprises the following steps:
fa＝fa0+k1γ1(b-2)+k2γ2(h-3)
wherein f isaThe bearing capacity of the foundation subjected to depth and width correction; f. ofa0A base formation tolerance provided for exploration; k is a radical of1And k2Designing standard parameters for dimensionless; gamma ray1Is the natural volume weight of the stratum at the base; gamma ray2The volume weight of the backfill soil is calculated; b is the base width; h is the substrate buried depth.
3. The method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage according to claim 2, wherein the method for obtaining the maximum value and the minimum value of the base stress according to the sum of the bottom projection area, the area resisting moment of the eccentric direction of the base, the bending moment of the horizontal force and the vertical force relative to the gravity center shaft and the vertical force comprises the following steps:
wherein A is the bottom projection area; b is the transverse width; l is the axial length; w is the area resisting moment of the substrate in the eccentric direction; m is a bending moment of the horizontal force and the vertical force on the gravity center shaft; sigma PiIs the sum of the vertical forces; piIs the ith vertical force; sigmaminIs the minimum value of the substrate stress; sigmamaxIs the substrate stress maximum.
4. The method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage according to claim 3, wherein the step of determining the anti-sliding stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-sliding horizontal forces and the sum of the sliding horizontal forces comprises the following steps:
wherein k isaThe coefficient of the anti-sliding stability of the pier foundation; μ is the friction factor between the substrate and the foundation; sigma TiPIs the sum of the anti-skid horizontal force; t isiPThe ith anti-skid horizontal force; sigma TiaIs the sum of the sliding horizontal forces; t isiaIs the ith sliding horizontal force.
5. The method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage according to claim 4, wherein the method for determining the anti-overturning stability coefficient of the pier foundation according to the ratio of the distance from the center of gravity of the section to the checking and calculating overturning shaft and the eccentricity of the resultant force of the external force from the action point of the checking and calculating section to the gravity center axis of the foundation comprises the following steps:
wherein k iscThe coefficient of the anti-overturning stability of the pier foundation; s is the distance from the center of gravity of the section to the trial overturning shaft; e.g. of the type0Calculating the eccentricity from the acting point of the section to the gravity axis of the substrate for the resultant force of the external force; e.g. of the typeiCalculating the force arm of the gravity center of the section for the ith vertical force pair; hiIs the ith horizontal force; h isiAnd calculating the force arm of the gravity center of the section for the ith horizontal force pair.
6. The suspension bridge gravity type anchorage comprehensive safety evaluation method according to claim 5, wherein the obtaining of the horizontal displacement according to the product of the shear strain and the axial length comprises:
Sh＝γL
wherein S ishIs horizontal displacement; gamma is shear strain; τ is the shear stress; λ is the ground poisson ratio; e is the modulus of elasticity of the foundation.
7. The method for evaluating the comprehensive safety of the suspension bridge gravity type anchorage according to claim 6, wherein the step of obtaining the vertical displacement according to the product of the compressive strain and the thickness of the foundation comprises the following steps:
Sv＝εH
wherein S isvIs a vertical displacement; epsilon is compressive strain; h is the thickness of the foundation; σ is the normal stress.
8. The utility model provides a suspension bridge gravity type anchorage comprehensive safety evaluation device which characterized in that includes: the first main module is used for acquiring the bearing capacity of the foundation subjected to depth and width correction, and obtaining the maximum value and the minimum value of the stress of the foundation according to the sum of the bottom projection area, the area resisting moment of the eccentric direction of the foundation, the bending moment of the horizontal force and the vertical force on the gravity center shaft and the vertical force; the second main module is used for determining the anti-slip stability coefficient of the abutment foundation according to the sum of the vertical forces, the sum of the anti-slip horizontal forces and the sum of the sliding horizontal forces, determining the anti-overturning stability coefficient of the abutment foundation according to the distance from the center of gravity of the section to the checking and calculating overturning shaft and the ratio of the resultant force of the external force to the eccentric distance from the checking and calculating section action point to the base gravity center shaft, and if the anti-slip stability coefficient of the abutment foundation is larger than or equal to a first threshold value and the anti-overturning stability coefficient of the abutment foundation is larger than or equal to a second threshold value, stabilizing the whole anchorage; and the third main module is used for obtaining horizontal displacement according to the product of the shearing strain and the axial length, obtaining vertical displacement according to the product of the compressive strain and the thickness of the foundation, and if the horizontal displacement is smaller than or equal to a third threshold value and the vertical displacement is smaller than or equal to a fourth threshold value, the anchorage foundation deforms stably.
9. An electronic device, comprising:
at least one processor, at least one memory, and a communication interface; wherein the content of the first and second substances,
the processor, the memory and the communication interface are communicated with each other;
the memory stores program instructions executable by the processor, the processor invoking the program instructions to perform the method of any of claims 1 to 7.
10. A non-transitory computer-readable storage medium storing computer instructions for causing a computer to perform the method of any one of claims 1 to 7.
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