CN109753746B - Bridge self-adaptive boundary bending moment control system, bridge deflection self-adaptive method and method for calculating bridge deflection - Google Patents
Bridge self-adaptive boundary bending moment control system, bridge deflection self-adaptive method and method for calculating bridge deflection Download PDFInfo
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- CN109753746B CN109753746B CN201910033428.9A CN201910033428A CN109753746B CN 109753746 B CN109753746 B CN 109753746B CN 201910033428 A CN201910033428 A CN 201910033428A CN 109753746 B CN109753746 B CN 109753746B
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Abstract
The invention particularly discloses a bridge self-adaptive boundary bending moment control system, a bridge deflection self-adaptive method and a method for calculating bridge deflection. The bridge self-adaptive boundary bending moment control system comprises a self-adaptive bending moment control system and a simply supported beam system, wherein the simply supported beam system comprises a first fixed end, a second fixed end, a simply supported beam, a fixed hinge support and a rolling support, and the self-adaptive bending moment control system comprises a third fixed end, a control spring and a control beam; one end of the simply supported beam is connected with the fixed hinge support, and the other end of the simply supported beam is connected with the rolling support; one end of the control beam is connected with the rolling support, the other end of the control beam is connected with one end of the control spring, and the other end of the control spring is fixedly connected to the third fixed end; when the simply supported beam is stressed, the position of the control beam changes along with the deformation of the simply supported beam and the movement of the rolling support. And calculating to obtain a deflection formula of the simply supported beam after the self-adaptive boundary bending moment control, and calculating to obtain optimal parameters aiming at the bridges under different working conditions.
Description
Technical Field
The invention belongs to the field of bridge bending moment control, and relates to a bridge self-adaptive boundary bending moment control system, a bridge deflection self-adaptive method and a method for calculating bridge deflection.
Background
With the high-speed continuous development of economy in China, transportation tasks are continuously increased. For a road transportation infrastructure, namely a bridge, high-speed heavy-duty vehicles can cause bridge vibration and large deflection change, and the safety and the service life of the bridge are seriously influenced. The prior art mostly focuses on monitoring the bridge deflection, for example, researches on a bridge structure deflection measuring system based on a wireless dip angle, a bridge deflection monitoring system based on a visible light imaging technology, and the like. However, the deflection monitoring work only performed on the bridge does not meet the requirements at the present stage, and the bridge needs to be intervened simply and effectively to reduce the bending deflection of the bridge. Currently, there is less research associated in this regard; the girder deflection control device of the simply supported girder bridge adopts the compressible spiral body as a support to control the deflection change of the simply supported girder, but the structure is more complex and is not easy to install.
Disclosure of Invention
The invention aims to provide a bridge self-adaptive boundary bending moment control system, a bridge deflection self-adaptive method and a method for calculating bridge deflection.
The invention is realized by the following technical scheme:
a bridge self-adaptive boundary bending moment control system comprises a self-adaptive bending moment control system and a simply supported beam system, wherein the simply supported beam system comprises a first fixed end, a second fixed end, a simply supported beam, a fixed hinge support and a rolling support;
one end of the simply supported beam is connected with the fixed hinge support, and the other end of the simply supported beam is connected with the rolling support; the fixed hinge support is connected with the first fixed end, and the rolling support is arranged on the second fixed end;
one end of the control beam is connected with the rolling support, the other end of the control beam is connected with one end of the control spring, and the other end of the control spring is fixedly connected to the third fixed end;
when the simply supported beam is stressed, the position of the control beam changes along with the deformation of the simply supported beam and the movement of the rolling support.
Further, first stiff end, second stiff end and third stiff end be the mounting of being connected with the earth.
The invention also discloses a bridge deflection self-adaption method adopting the bridge self-adaption boundary bending moment control system, which simplifies a bridge into a simply supported beam, simplifies the acting force of a moving object on the bridge to the bridge into a concentrated force F, the simply supported beam deforms under the action of the concentrated force F to generate deflection omega downwards, and the deformed simply supported beam passes through a rolling support to drive the left end of the control beam to rotate by theta B The angle is inclined upwards, the right end of the control beam moves upwards and upwardsThe distance of movement is s theta B The spring is controlled to be pulled upwards to generate moment acting on the fixed hinge support, and the deflection of the simply supported beam is adjusted in a self-adaptive mode.
The invention also discloses a method for calculating the deflection of the bridge after the self-adaptive boundary bending moment control by adopting the bridge self-adaptive boundary bending moment control system, wherein the bending rigidity of the simply supported beam is EI, the length of the simply supported beam is l, the distance between the fixed hinge support and the concentrated force F is a, and the distance between the concentrated force F and the rolling support is b; the control spring rigidity coefficient of the control spring is k, the control beam length is s, and the deflection formula after the self-adaptive boundary bending moment control of the simply supported beam is obtained through calculation is as follows:
or
Wherein x is the distance between the position for calculating the deflection and the fixed hinge support, and w is the selected deflection at the x position.
Compared with the prior art, the invention has the following beneficial technical effects:
the invention discloses a bridge self-adaptive boundary bending moment control system, which comprises a self-adaptive bending moment control system and a simply supported beam system, wherein the simply supported beam system comprises a simply supported beam, a fixed hinge support and a rolling support; one end of the simply supported beam is connected with the fixed hinge support, and the other end of the simply supported beam is connected with the rolling support; one end of the control beam is connected with the rolling support, the other end of the control beam is connected with one end of the control spring, and the other end of the control spring is fixedly connected to the third fixed end; when the simply supported beam is stressed, the position of the control beam changes along with the deformation of the simply supported beam and the movement of the rolling support. The simply supported beam deforms under the action of concentrated force and deflects downwards. The deformed simply supported beam passes through the rolling support to drive the left end of the control beam to incline upwards at an angle, the right end of the control beam moves upwards for a distance, and a control spring fixedly connected with the right end of the control beam is subjected to upward tension to generate torque acting on the fixed hinge support so as to perform self-adaptive adjustment on the deflection of the simply supported beam. For the bridge with larger bridge deflection, the pretightening force of the control spring is properly increased, and the maintenance frequency can be reduced.
The invention discloses a method for calculating the deflection of a bridge after self-adaptive boundary bending moment control, which can calculate the optimal parameters aiming at the bridges under different working conditions by substituting known parameters and measurement parameters of a simply supported beam and a control beam into a calculation formula. Compared with the common bridge, the control method can properly prolong the safety coefficient and the maximum bearing capacity of the bridge, improve the use efficiency and reduce the loss of lives and properties.
Drawings
FIG. 1 is a schematic structural diagram of a bridge adaptive boundary bending moment control system;
wherein, 1 is control spring, 2 is the control beam, 3 is first stiff end, 4 are fixed hinge support, 5 are simply supported roof beam, 6 are the simple supported roof beam that warp, 7 are rolling support, 8 are the second stiff end, 9 are the third stiff end.
Detailed Description
The present invention will now be described in further detail with reference to specific examples, which are intended to be illustrative, but not limiting, of the invention.
As shown in FIG. 1, the bridge self-adaptive boundary bending moment control system comprises a self-adaptive bending moment control system and a simply supported beam system. The simple supporting beam system comprises a first fixed end 3, a second fixed end 8, a simple supporting beam 5, a fixed hinge support 4 and a rolling support 7. The self-adaptive bending moment control system comprises a third fixed end 9, a control spring 1 and a control beam 2 which are arranged near the rolling support 7.
The left end of the simply supported beam 5 is connected with the fixed hinge support 4, and the fixed hinge support 4 is connected with the first fixed end 3; the right end of the simply supported beam 5 is connected with a rolling support 7, and the rolling support 7 is placed on the second fixed end 8; the rolling support 7 is connected with the control beam 2. At the right end of the simply supported beam 5, the third fixed end 9 is fixedly connected with the lower end of the control spring 1, the upper end of the control spring 1 is connected with the right end of the control beam 2, the left end of the control beam 2 is connected with the rolling support 7, and the position of the control beam 2 changes along with the movement of the simply supported beam 5 and the rolling support 7.
The first fixing end 3, the second fixing end 8 and the third fixing end 9 all refer to fixing parts connected with the ground.
The bridge self-adaptive boundary bending moment control principle is expressed as follows: the acting force of the moving object on the bridge to the bridge is simplified into a concentrated force F, and the bridge is simplified into a simple supported beam. The simply supported beam 5 deforms under the action of the concentrated force F to generate a deflection omega downward, as shown by the deformed simply supported beam 6. The deformed simply supported beam 6 passes through the rolling support 7 to drive the left end of the control beam 2 to rotate by theta B The angle is inclined upwards, and the right end of the control beam 2 moves upwards by s theta B The distance, the control spring 1 fixedly connected with the right end of the control beam 2 is pulled upwards to generate moment M acting on the fixed hinge support 4 B And the flexibility of the simply supported beam 5 is adjusted in a self-adaptive manner.
According to the difference of the magnitude and the action position of the concentrated force F, the upward inclination angle of the control beam 2 at the right end of the simply supported beam 5 is different, and the force of the control spring 1 acting on the control beam 2 is different, so that the self-adaptive adjustment of the received bending moment at the boundary of the simply supported beam 5 is realized.
In the self-adaptive boundary bending moment control method of the simply supported beam, the bending rigidity of the simply supported beam 5 is EI, the length is l, the distance between the fixed hinge support 4 and the concentrated force F is a, and the distance between the concentrated force F and the rolling support 7 is b; at the fixed hinge support 4, the included angle between the deformed simply supported beam 6 and the simply supported beam 5 is theta A (ii) a At the position of the rolling support 7, the included angle between the deformed simply supported beam 6 and the simply supported beam 5 is theta B The left end of the control beam 2 is controlled by theta B The angle is inclined upwards; the length of the control beam 2 at the right end of the simply supported beam 5 is s; the spring rate of the control spring 1 is k. After calculation, the deflection formula of the simply supported beam after the self-adaptive boundary bending moment control is obtained is as follows:
when x is more than or equal to 0 and less than or equal to a,
when a is more than or equal to x is less than or equal to l,
one specific example is as follows:
example 1: the bridge length l is 32m, and the bending rigidity coefficient EI is 5.18 multiplied by 10 8 N·m 2 The distance between the concentrated force F and the fixed hinge support 4 is a, and the magnitude is 1.8 multiplied by 10 4 N, i.e., a =20m, b =12m; the length of the control beam is 3m, and the rigidity coefficient of the control spring is 6 multiplied by 10 7 . When x =16m is taken, the deflection of the bridge at the position 16m away from the fixed hinge support 4 is calculated to be 0.83cm, if the bridge is not provided with a self-adaptive boundary bending moment control system, the deflection at the position x =16m is calculated to be 2.17cm through the existing known deflection calculation formula, compared with the deflection 2.17cm generated by the bridge without self-adaptive boundary bending moment control, the deflection is reduced by 61.86%, and the control effect is better.
The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (2)
1. The method for calculating the deflection of the bridge after the self-adaptive boundary bending moment control based on the bridge self-adaptive boundary bending moment control system is characterized in that the bridge self-adaptive boundary bending moment control system comprises a self-adaptive bending moment control system and a simply supported beam system, the simply supported beam system comprises a first fixed end (3), a second fixed end (8), a simply supported beam (5), a fixed hinge support (4) and a rolling support (7), and the self-adaptive bending moment control system comprises a third fixed end (9), a control spring (1) and a control beam (2);
one end of the simply supported beam (5) is connected with the fixed hinge support (4), and the other end is connected with the rolling support (7); the fixed hinge support (4) is connected with the first fixed end (3), and the rolling support (7) is arranged on the second fixed end (8);
one end of the control beam (2) is connected with the rolling support (7), the other end of the control beam is connected with one end of the control spring (1), and the other end of the control spring (1) is fixedly connected to the third fixed end (9);
when the simply supported beam (5) is stressed, the position of the control beam (2) changes along with the deformation of the simply supported beam (5) and the movement of the rolling support (7);
the first fixed end (3), the second fixed end (8) and the third fixed end (9) are fixed parts connected with the ground;
the bending rigidity of the simply supported beam (5) is EI, the length is l, the distance between the fixed hinge support (4) and the concentrated force F is a, and the distance between the concentrated force F and the rolling support (7) is b; the spring rigidity coefficient of the control spring (1) is k, the length of the control beam (2) is s, and the deflection formula of the simply supported beam (5) after self-adaptive boundary bending moment control is obtained through calculation is as follows:
or
Wherein x is the distance between the position for calculating the deflection and the fixed hinge support (4), and w is the selected deflection at the x position.
2. The method of claim 1, wherein:
the bridge is simplified into a simply supported beam (5), the acting force of a moving object on the bridge is simplified into a concentrated force F, the simply supported beam (5) deforms under the action of the concentrated force F to generate deflection omega downwards, and the deformed simply supported beam (6) drives the left end of the control beam (2) to form a theta through a rolling support (7) B The angle is inclined upwards, the right end of the control beam (2) moves upwards by a distance s theta B The spring (1) is controlled to be pulled upwards to generate moment acting on the fixed hinge support (4), and the deflection of the simply supported beam (5) is adjusted in a self-adaptive mode.
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| CN106529200A (en) * | 2016-12-16 | 2017-03-22 | 江苏师范大学 | Method for calculating time-varying bending moment and bending deformation of bridge under action of moving vehicle load |
| CN108287957A (en) * | 2018-01-12 | 2018-07-17 | 西华大学 | A kind of highway awkward and lengthy cargo transport trailer main longitudinal grider safety analytical method |
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| WO2008022359A1 (en) * | 2006-08-23 | 2008-02-28 | Kollegger Gmbh | Tilt-lift method for erecting a bridge |
| CN106529200A (en) * | 2016-12-16 | 2017-03-22 | 江苏师范大学 | Method for calculating time-varying bending moment and bending deformation of bridge under action of moving vehicle load |
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