CN106096142B - Hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method - Google Patents
Hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method Download PDFInfo
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- CN106096142B CN106096142B CN201610419779.XA CN201610419779A CN106096142B CN 106096142 B CN106096142 B CN 106096142B CN 201610419779 A CN201610419779 A CN 201610419779A CN 106096142 B CN106096142 B CN 106096142B
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
Abstract
Hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method, the following steps are included: (1) carries out finite element modelling unit selection to each section component of steel arch-gate, curved panel selects shell unit to simulate stress, support arm, crossbeam and stringer select beam element simulation, sunpender selects bar unit simulation, carries out dynamical property analysis to steel arch-gate；(2) equivalent mass of water is calculated using Westergaard method, simulated water pressure power influences the dynamic characteristics of steel arch-gate；(3) analysis of structural modal strain energy is carried out to steel arch-gate, analysis show that steel arch-gate support arm modal strain energy is maximum, swashs load effect by the stream that the restriction damping layer being arranged on the support arm structure of steel arch-gate can reduce steel arch-gate；Design method of the invention increases steel arch-gate structural damping, reduces to flow and swash load dither effect.
Description
Technical field
The present invention relates to a kind of hydraulic steel radial gate restriction damping layer Vibration Absorption Designing methods.
Background technique
Gate stream swash load dynamic response be flow swash load and gate dynamic characteristics coupling product, streams
In the case that determining, the sharp load of stream can not be changed, adjustment gate dynamic characteristics can effectively reduce structural dynamic response, and increases and tie
Structure damping is largely effective, simply and easily one of means.
Steel arch-gate with its slim and graceful structure type, reasonable stress performance and hoisting capacity are small the advantages that, in water conservancy project
It is used widely in structure, but the flow induced vibration problem of steel arch-gate is more prominent, because flow induced vibration damages
It happens occasionally in domestic and international hydro-structure.Flow induced gate vibration is determined by hydrodynamic load feature and radial gate vibration characteristic, works as water
When dynamic load can not change, the dynamic characteristics for optimizing gate becomes unique selection, how to avoid steel-slag sand that stream occurs and swashs destruction,
The advantageous feature of steel-slag sand is given full play to, scientific research personnel proposes different solutions.
The destruction condition for making a general survey of steel arch-gate is largely to cause support arm power to lose since support arm generation vibration is excessive
Steady or load effect is more than the strength of materials, and then is destroyed.Tuning quality damps (TMD) vibration damping only to certain first order resonance frequency
Effectiveness in vibration suppression is significant, and because steel-slag sand generally works under water, frequency is influenced by head and the depth of water, Gu tuning quality damps
(TMD) effectiveness in vibration suppression is poor.
Summary of the invention
The present invention provides a kind of increase steel arch-gate structural damping, drop to solve shortcoming in the prior art
It is low to flow the hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method for swashing load dither effect.
In order to solve the above technical problems, the present invention adopts the following technical scheme: hydraulic steel radial gate restriction damping layer subtracts
Vibration design method, the steel arch-gate includes curved panel, two sunpenders and two support arms, and curved panel rear surface is along it
Short transverse uniform intervals are equipped with several crossbeams, and every crossbeam is arranged along left and right horizontal direction, and curved panel rear surface is along it
Width direction uniform intervals are equipped with several stringers, the arc-shaped structure of every stringer and identical as the radian of curved panel, and two
Sunpender is obliquely installed and is parallel to each other, and one end of two sunpenders is connect with the rear surface of curved panel respectively, and every group of support arm wraps
Include upper cantilever and lower cantalever, between upper cantilever and lower cantalever be equipped with web member, the design method the following steps are included:
(1) finite element modelling unit selection is carried out to each section component of steel arch-gate, curved panel selects shell unit
Stress is simulated, support arm, crossbeam and stringer select beam element to simulate stress, and sunpender selects bar unit to simulate stress shape
State carries out dynamical property analysis to steel arch-gate；
(2) equivalent mass of water, dynamic characteristics of the simulated water pressure power to steel arch-gate are calculated using Westergaard method
It influences；
(3) analysis of structural modal strain energy is carried out to steel arch-gate, analysis obtains steel arch-gate support arm modal strain
The value of energy is maximum value；
(4) constraint that the stream for reducing steel arch-gate swashs load effect is set on the support arm structure of steel arch-gate
Damping layer；
(5) thickness that restriction damping layer is determined by finite element method for simulating, for the thickness of different restriction damping layers
Comparative analysis determines most suitable restriction damping layer thickness, thus utmostly increase the support arm damping ratio of steel arch-gate, drop
The stream of low structure swashs load effect.
Restriction damping layer in the step (4) includes damping layer and restraint layer, and damping layer is pasted in the outer of every group of support arm
Table, restraint layer are pasted in the outer surface of damping layer, and damping layer is made of plastic material, and restraint layer is made of steel material.
In step (1), to the formula of the dynamical property analysis use of steel arch-gate are as follows:
, in formula、WithThe respectively matrix of quality, damping and rigidity；、WithPoint
It Wei not be displaced, velocity and acceleration；Load is swashed to flow.
The equivalent mass of water is calculated in step (2) by Westergaard method:, whereinFor water
Density；For the gate depth of water；For library water head, simulated water pressure power influences the dynamic characteristics of steel arch-gate.
The calculation method of the support arm damping ratio of steel arch-gate in the step (5) selects Complex Modal Analysiss, multiple
Modal analysis method specific steps are as follows: the characteristic equation of structural dynamic equilibrium equation first are as follows:, special
Value indicative are as follows:,The referred to as coefficient of stability,For the circular frequency for considering damping effect, damping ratio are as follows:, the thickness of proper restraint layer and damping layer is determined by calculated result；The following are calculating process:
It enables,,,, then kinetics equation writes out state equation
Form are as follows:；It is calculated to simplify, constant equation can be introduced, achievableization integral operation in this way
For algebraic operation.Kinetics equation may be expressed as:
It enables again:,
Then equation may be expressed as:
Non trivial solution are as follows:
Transfer matrixExpression formula are as follows:；WhereinFor discrete time step.
By adopting the above technical scheme, the invention has the following advantages:
(1) present invention pastes one layer of damping layer in structured base layer first, then securely pastes in damping material layer surface again
Elastic restraint material, referred to as restraint layer.When structure sheaf occurs bending and deformation, Damping material layer upper and lower surface then generates stretching
And compressive deformation, shear stress and the strain of alternation occur in damping layer, thus the energy that consumption s tructure is generated due to vibration,
Mitigate the vibration of main structure；Steel arch-gate support arm power destruction in the case where flowing sharp load action in order to prevent, and then cause whole
Body structure is squashed, and pastes restriction damping layer in steel arch-gate support arm outer surface, in visco-elastic damping layer and constraint thickness degree ratio
In the reasonable situation of example, it is possible to increase the damping ratio of support arm, to reach the mesh for reducing support arm vibratory response in the case where flowing sharp load action
's；
(2) restriction damping layer is pasted on steel arch-gate support arm surface can increase support arm difference order damping ratio, significantly reduce
It flows and swashs the structural dynamic response that load generates, structural dynamic characteristic is dynamic to structure since water quality change does not influence restriction damping layer
The trend that force-responsive reduces；
(3) restraint layer can improve the characteristic of structural damping, while using for reference damping layer and improving structural damping in power transmission tower
Successful experience, the reasonable Arrangement damping layer on steel arch-gate, to improve gate integral damping ratio, then to addition restriction damping layer
Front and back steel-slag sand carries out flow induced vibration analysis, it may be verified that the effectiveness in vibration suppression of restriction damping layer；
(4) Complex Modal Analysiss can be selected in the calculation method of steel arch-gate damping ratio；Compared with other calculation methods,
It is advantageous that: consider dynamic response of the structure under damping effect, computational accuracy can increase substantially.
Detailed description of the invention
Fig. 1 is steel arch-gate structural schematic diagram；
Fig. 2 is the schematic shapes of restriction damping layer；
Fig. 3 is that the support arm appearance of steel arch-gate pastes the sectional view of restriction damping layer；
Fig. 4 is to flow to swash load pressure time-history curves and Fourier amplitude figure；
Fig. 5 is support arm comprehensive displacement timeamplitude map.
Specific embodiment
As shown in Figure 1-3, steel arch-gate includes 1, two sunpender 2 of curved panel and two support arms, table after curved panel 1
Face is equipped with several crossbeams 3 along its short transverse uniform intervals, and every crossbeam 3 is arranged along left and right horizontal direction, after curved panel 1
Surface is equipped with several stringers 4, the arc-shaped structure of every stringer 4 and the arc with curved panel 1 along its width direction uniform intervals
Spend identical, two sunpenders 2 are obliquely installed and are parallel to each other, and one end of two sunpenders 2 connects with the rear surface of curved panel 1 respectively
It connects, each support arm includes upper cantilever 5 and lower cantalever 6, and web member 7 is equipped between upper cantilever 5 and lower cantalever 6；Certain steel arch-gate
As shown in Figure 1, the width and height of steel arch-gate are respectively, the outer arc radius of curved panel 1 is 22m, and two are hung
Spacing between bar 2 is 6.6m, and for curved panel 1 with a thickness of 35mm, curved panel 1 is evenly arranged 9 crossbeams 3, arc along longitudinal direction
Panel 1 is transversely evenly arranged 9 stringers 4, and the arc length of curved panel 1 is 14.9m, wherein upper cantilever 5 and 1 top of curved panel
Between arc length 4.1m, the arc length 7.4m between upper cantilever 5 and lower cantalever 6, the arc between 1 bottom end of lower cantalever 6 and curved panel
A length of 3.4m, the normal pool level of the steel arch-gate are 850m, and normal filling water head is 58m, check water level 855m, are checked
Head is 59m.
Hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method of the invention, comprising the following steps:
(1) finite element modelling unit selection is carried out to each section component of steel arch-gate, curved panel selects shell unit
Stress is simulated, support arm, crossbeam 3 and stringer 4 select beam element simulation, and sunpender 2 selects bar unit simulation, to steel arch-gate
Carry out dynamical property analysis；The power balance equation of steel arch-gate are as follows:, in formula、
WithThe respectively matrix of quality, damping and rigidity；、WithRespectively displacement, velocity and acceleration；Load is swashed to flow.
Load is swashed flowingIn the case where immutable, it can reduce to flow and swash load response by increasing structural damping；
(2) equivalent mass of water is calculated using Westergaard method,, whereinFor the density of water；
For the gate depth of water；For library water head, simulated water pressure power influences the dynamic characteristics of steel arch-gate；
(3) analysis of structural modal strain energy, the modal strain of steel arch-gate each section component are carried out to steel arch-gate
It can are as follows:, analysis show that steel arch-gate support arm modal strain energy is maximum, by being arranged in arc-shaped steel lock
The stream that restriction damping layer on the support arm structure of door can reduce steel arch-gate swashs load effect；The restriction damping layer packet
Damping layer and restraint layer are included, damping layer pastes the appearance in every group of support arm, and restraint layer is pasted in the outer surface of damping layer, damping layer
It is made of plastic material, restraint layer is made of steel material；Analysis the result shows that: support arm and sunpender account for modal strain energy ratio
68%, since sunpender is only by axial push-pull power, stress form is fairly simple；Support arm is not only acted on by tension and compression, and by bending and
Twisting action, load effect is sufficiently complex, in addition existing steel arch-gate destroys situation analysis discovery, most of gate is squashed all
Caused by support arm destruction, therefore restriction damping layer is arranged on support arm can be effectively reduced structural vibration, prevent gate from destroying because of support arm
And leading to collapsing for total, restriction damping layer shape and arrangement on gates of segmental shape support arm are as shown in Figures 2 and 3.Stream
Swash load pressure time-history curves and Fourier amplitude figure is as shown in Figure 4.
(4) thickness that restriction damping layer is determined by finite element method for simulating, for the thickness of different restriction damping layers
Comparative analysis determines most suitable restriction damping layer thickness, thus utmostly increase the support arm damping ratio of steel arch-gate, drop
The stream of low structure swashs load effect, and the calculation method of the support arm damping ratio of steel arch-gate selects Complex Modal Analysiss；
Complex Modal Analysiss specific steps are as follows: the characteristic equation of structural dynamic equilibrium equation first are as follows:
, characteristic value are as follows:,The referred to as coefficient of stability,To consider to damp shadow
Loud circular frequency, damping ratio are as follows:, the thickness of proper restraint layer and damping layer is determined by calculated result；The following are
Calculating process:
It enables,,,, then kinetics equation writes out state equation
Form are as follows:；It is calculated to simplify, constant equation can be introduced, achievableization integral operation in this way
For algebraic operation.Kinetics equation may be expressed as:
It enables again:,
Then equation may be expressed as:
Non trivial solution are as follows:
Transfer matrixExpression formula are as follows:；WhereinFor discrete time step.
Restriction damping layer as shown in table 1, the table 1 that preferably compares scheme on reasonable steel arch-gate support arm:
As it can be seen that restriction damping layer has amplification, such as single order and two to structure translational mode shape and bending mode damping ratio
Rank damping ratio；When for torsion vibration mode, restriction damping layer changes mode damping ratio not fairly obvious.Select damping layer/constraint
When layer is with a thickness of 10/8mm, support arm comprehensive displacement time-history curves are as shown in Figure 5；Restriction damping layer energy front and rear support arm midpoint is set
Maximum comprehensive displacement, comprehensive speed and comprehensive acceleration reduced value are as shown in table 2, table 2:
The present embodiment not makes any form of restriction shape of the invention, material, structure etc., all according to this hair
Bright technical spirit any simple modification, equivalent change and modification to the above embodiments, belong to the technology of the present invention side
The protection scope of case.
Claims (3)
1. hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method, the steel arch-gate includes curved panel, two
Sunpender and two support arms, curved panel rear surface are equipped with several crossbeams along its short transverse uniform intervals, and every crossbeam is along a left side
Right horizontally arranged, curved panel rear surface is equipped with several stringers along its width direction uniform intervals, and every stringer is in arc
Shape structure and identical as the radian of curved panel, two sunpenders are obliquely installed and are parallel to each other, one end of two sunpenders respectively with
The rear surface of curved panel connects, and every group of support arm includes upper cantilever and lower cantalever, and web member is equipped between upper cantilever and lower cantalever,
It is characterized by: the design method the following steps are included:
(1) finite element modelling unit selection is carried out to each section component of steel arch-gate, curved panel selects shell unit simulation
Stress, support arm, crossbeam and stringer select beam element to simulate stress, and sunpender selects bar unit to simulate stress, right
Steel arch-gate carries out dynamical property analysis；
(2) equivalent mass of water, dynamic characteristics shadow of the simulated water pressure power to steel arch-gate are calculated using Westergaard method
It rings；
(3) analysis of structural modal strain energy is carried out to steel arch-gate, analysis obtains steel arch-gate support arm modal strain energy
Value is maximum value；
(4) damping-constraining that the stream for reducing steel arch-gate swashs load effect is set on the support arm structure of steel arch-gate
Layer；
(5) thickness that restriction damping layer is determined by finite element method for simulating, for the comparison of the thickness of different restriction damping layers
Analysis, determines most suitable restriction damping layer thickness, to utmostly increase the support arm damping ratio of steel arch-gate, reduces knot
The stream of structure swashs load effect；
In step (1), to the formula of the dynamical property analysis use of steel arch-gate are as follows:,
In formula、WithThe respectively matrix of quality, damping and rigidity；、WithRespectively displacement, velocity and acceleration；For
It flows and swashs load；
The calculation method of the support arm damping ratio of steel arch-gate in the step (5) selects Complex Modal Analysiss, complex mode
Analysis method specific steps are as follows: the characteristic equation of structural dynamic equilibrium equation first are as follows:, characteristic value
Are as follows:,The referred to as coefficient of stability,For the circular frequency for considering damping effect, damping ratio are as follows:
, the thickness of proper restraint layer and damping layer is determined by calculated result；The following are calculating process:
It enables,,,, then kinetics equation writes out state equation form
Are as follows:；It is calculated to simplify, constant equation can be introduced, achievableization integral operation in this way is generation
Number operation, kinetics equation may be expressed as:
It enables again:,
Then equation may be expressed as:
Non trivial solution are as follows:
Transfer matrixExpression formula are as follows:；
WhereinFor discrete time step；
:In, subscript indicates dynamic characteristic calculation order；Preceding expression imaginary symbols；
: dynamic characteristic calculation characteristic value；
: speed, motion vector；
: numerical value unit 1；
: imposed load；
:Moment speed, displacement and unit value vector；
:Moment speed, displacement and unit value vector；
t: calculate the time；
k: thekTime step.
2. hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method according to claim 1, it is characterised in that: described
Restriction damping layer in step (4) includes damping layer and restraint layer, and damping layer pastes the appearance in every group of support arm, and restraint layer is pasted
In the outer surface of damping layer, damping layer is made of plastic material, and restraint layer is made of steel material.
3. hydraulic steel radial gate restriction damping layer Vibration Absorption Designing method according to claim 2, it is characterised in that: step
Suddenly the equivalent mass of water is calculated in (2) by Westergaard method:, whereinFor the density of water；For lock
The door depth of water；For library water head, simulated water pressure power influences the dynamic characteristics of steel arch-gate.
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| CN110851909B (en) * | 2019-12-04 | 2022-12-13 | 水利部交通运输部国家能源局南京水利科学研究院 | High dam body steel gate earthquake motion input method |
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| CN113158297B (en) * | 2021-03-15 | 2022-11-08 | 西安理工大学 | Hydraulic arc steel gate parameter load identification method |
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