CN108108553A - A kind of naval vessel buoyant raft shock-resistant system waves calculating method for stability - Google Patents
A kind of naval vessel buoyant raft shock-resistant system waves calculating method for stability Download PDFInfo
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Abstract
The present invention relates to a kind of naval vessel buoyant raft shock-resistant systems to wave calculating method for stability, S1, establishes buoyant raft shock-resistant system finite element model；S2, force analysis is carried out to buoyant raft shock-resistant system, consider Ship Swaying in the process to its active force, the entire rolling period in naval vessel is divided into several deciles, the stress of each time point buoyant raft shock-resistant system is asked for, ship suffered by corresponding buoyant raft shock-resistant system of each moment is input in software its active force；S3, marine hydrostatic calculation is carried out using finite element software, obtains the corresponding vibration isolator deformation of each moment, equipment displacement, raft frame stress, the Comparative result at each moment is deformed, the maximum of displacement and stress.The present invention considers the stress of buoyant raft in rocking process, avoids the error generated in common Engineering Algorithm；It is calculated based on common finite element and waves stability, to buoyant raft model size almost without limitation, the vibration isolator quantity that engineering may use in practice can met, while can obtain buoyant raft stress variation.
Description
Technical field
The present invention relates to naval vessel Sound stealth technical fields, and in particular to a kind of naval vessel buoyant raft shock-resistant system waves stability meter
Calculation method.
Background technology
Buoyant raft is common a kind of equipment vibration absorber on naval vessel, when carrying out buoyant raft conceptual design, it is necessary to carry out buoyant raft
Stable calculation is waved, maximum displacement in rocking process of equipment on buoyant raft, vibration isolator maximum distortion are obtained, to determine buoyant raft
State of the art and its technical indicator whether meet the requirements.
In engineering practice, wave stable calculation and often only consider situation of the naval vessel in maximum roll angle or pitch angle
Under, by the quiet deformation of gravity generation, deformation caused by the inertia force generated without considering rolling or pitching, calculated value
Often differ larger with actual value.In addition, can also carry out waving stable calculation using some softwares, this software consideration shakes
Inertia force caused by pendulum acts on, but restricted to the size of model, once the vibration isolator of vibrating isolation system is more than certain amount, this is soft
Part can not be calculated；In addition, buoyant raft is simply reduced to a particle in this software, buoyant raft can not be calculated from waving
Stress variation in journey.
The content of the invention
The technical problem to be solved in the present invention is in view of the deficiency of the prior art, to provide a kind of naval vessel buoyant raft
Vibrating isolation system waves calculating method for stability, and the buoyant raft based on it is a kind of meta software by general finite waves stable calculation
Method.
The present invention is to solve the technical issues of set forth above used technical solution to be：
A kind of naval vessel buoyant raft shock-resistant system waves calculating method for stability, comprises the following steps：
S1, the finite element model for establishing buoyant raft shock-resistant system establish buoyant raft shock-resistant system using general finite meta software
Threedimensional model, and the stiffness properties of model quality attribute and vibration isolator are assigned, grid division establishes finite element model；
S2, force analysis is carried out to buoyant raft shock-resistant system, it is main to consider Ship Swaying in the process to buoyant raft shock-resistant system
Ship Swaying is reduced to compound motion by active force, and on the premise of rolling period and maximum angle is obtained, naval vessel is entirely shaken
The pendulum cycle is divided into several deciles, asks for the stress of the buoyant raft shock-resistant system of each time point, then the lattice according to finite element software
Ship suffered by corresponding buoyant raft shock-resistant system of each moment is input in software its active force by formula respectively；
S3, marine hydrostatic calculation is carried out using finite element software, obtains the deformation of corresponding vibration isolator of each moment, equipment
Displacement, the stress of raft frame, then compare the result at each moment, are deformed, the maximum of displacement and stress.
In said program, in step S2, the ship active force that buoyant raft shock-resistant system is subject to when waving include gravity G, every
Device elastic force of shaking f, hull pedestal restraining force F, wherein f=G, buoyant raft shock-resistant system are divided into following two with respect to the position of swing center
Kind situation：
1) buoyant raft shock-resistant system is located under swing center, and tangentially make a concerted effort F1, the normal direction of suffered hull pedestal restraining force F are made a concerted effort
F2 is respectively：
F1=ma1-Gsin θ (7)
F2=ma2- (f-Gcos θ)=ma2-G (1-cos θ) (8)
2) buoyant raft shock-resistant system is located on swing center, and tangentially make a concerted effort F1, the normal direction of suffered hull pedestal restraining force F are made a concerted effort
F2 is respectively：
F1=-ma1-Gsin θ (9)
F2=ma2- (f-Gcos θ)=ma2-G (1-cos θ) (10)
In formula (7)-(10), m is the quality of buoyant raft shock-resistant system, and G inclines for gravity, θ suffered by buoyant raft shock-resistant system for ship
Rake angle, a1 are the tangential acceleration of buoyant raft shock-resistant system, and a2 is the normal acceleration of buoyant raft shock-resistant system.
In said program, tangential acceleration a1, the normal acceleration a2 of buoyant raft shock-resistant system are counted respectively by formula (3), (4)
It calculates,
ατ=R α=R ω2θmsin(ωt+φ0) (3)
αn=Rv2=R [ω θmcos(ωt+φ0)]2 (4)
In formula, ατFor each point tangential acceleration, α in shipnFor each point normal acceleration in ship, R is that point arrives swinging shaft
Distance, α be Ship Swaying when angular acceleration, v be Ship Swaying when angular speed, ω be Ship Swaying circular frequency, θmFor
The maximum angular displacement of Ship Swaying, φ0For initial phase.
In said program, the circular frequency ω of Ship Swaying is calculated by formula (2),
In formula, T is the Ship Swaying cycle.
The beneficial effects of the present invention are：
A kind of naval vessel buoyant raft, which is established, the present invention is based on finite element software waves calculating method for stability, first, the method meeting
It takes into full account the stress of buoyant raft in rocking process, avoids the error generated in common Engineering Algorithm；Secondly, because with general finite
Stability is waved to calculate based on member, to buoyant raft model size almost without limitation, can meet engineering may make in practice
Vibration isolator quantity establishes the threedimensional model of buoyant raft shock-resistant system, obtains the stress variation of the buoyant raft itself in rocking process,
State of the art to establish buoyant raft provides foundation.
Description of the drawings
Below in conjunction with accompanying drawings and embodiments, the invention will be further described, in attached drawing：
Fig. 1 is buoyant raft shock-resistant system schematic diagram of the embodiment of the present invention；
Fig. 2 is stress sketch when buoyant raft shock-resistant system waves (buoyant raft shock-resistant system is located under swing center)；
Fig. 3 is stress sketch when buoyant raft shock-resistant system waves (buoyant raft shock-resistant system is located on swing center)；
Fig. 4 is buoyant raft shock-resistant system finite element model of the embodiment of the present invention.
In figure：100th, buoyant raft shock-resistant system；10th, vavle shelf；20th, vibration isolator；30th, equipment；40th, flexibility connection pipe；200th, hull
Pedestal.
Specific embodiment
In order to which the technical features, objects and effects to the present invention are more clearly understood, now compare attached drawing and be described in detail
The specific embodiment of the present invention.
As shown in Figure 1, it is the buoyant raft shock-resistant system 100 of the embodiment of the present invention, including vavle shelf 10, vibration isolator 20, equipment 30
With flexibility connection pipe 40.
The present invention provides a kind of naval vessel buoyant raft shock-resistant system and waves calculating method for stability, is shaken in water for calculating naval vessel
The displacement of buoyant raft corresponding device, vibration isolator deformation during pendulum, available for the calculation and check of Buoyant Raft Shock-resistant System, to determine buoyant raft vibration isolation dress
The state of the art and index accordance for putting conceptual design provide Main Basiss.Specifically include following steps：
S1, the finite element model for establishing buoyant raft shock-resistant system establish buoyant raft shock-resistant system using general finite meta software
Threedimensional model, and the stiffness properties of model quality attribute and vibration isolator 20 are assigned, grid division establishes finite element model.
S2, force analysis is carried out to buoyant raft shock-resistant system, it is main to consider that Ship Swaying, in the process to the active force of buoyant raft
Ship Swaying is reduced to compound motion, on the premise of rolling period and maximum angle is obtained, if entire rolling period is divided into
Dry decile asks for the stress of the buoyant raft shock-resistant system of each time point, then the form according to finite element software, respectively will be each
Ship suffered by moment corresponding buoyant raft shock-resistant system is input in software its active force.
(1) the rigid motion analysis of Ship Swaying
Ship Swaying is that the ship as caused by disturbing stormy waves moves back and forth, and in waving, gravity is formed ship with buoyancy
Couple generates restoring moment to ship, and in addition ship is also subject to the damping torque, moment of inertia and wave agitation of water in waving
Torque.Restoring moment is mainly considered herein, ship is reduced to physical pendulum, compound motion belongs to simple harmonic oscillation.
For compound motion, vibration expression formula is：
θmMaximum angular displacement, i.e. angular amplitude；ω is vibration angular frequency, also referred to as circular frequency；φ0For initial phase.
Simple harmonic motion cycle T and circular frequency ω relations are as follows：
After the cycle T of simple harmonic oscillation is obtained, you can obtain simple harmonic oscillation circular frequency ω according to formula (3).
Ship as rigid body around fixing axle carry out compound motion when, the speed of each point and acceleration are different in ship.
Each point tangential acceleration is in ship
ατ=R α=R ω2θmsin(ωt+φ0) (3)
Normal acceleration is
αn=Rv2=R [ω θmcos(ωt+φ0)]2 (4)
In formula, R is a distance for point to swinging shaft, angular acceleration when α is Ship Swaying, and angle when v is Ship Swaying is fast
Degree, ω be Ship Swaying circular frequency, θmFor the maximum angular displacement of Ship Swaying, φ0For initial phase.
(2) buoyant raft shock-resistant system force analysis
The rigid body oscillating motion of ship can only obtain the absolute displacement values of equipment 30, can not obtain equipment 30 compared with hull
The deformation of the relative displacement and vibration isolator 20 of pedestal 200, therefore mechanical analysis is carried out to buoyant raft shock-resistant system 100.Ship
Point rolling and pitching are waved, when it is rolling, port is directed toward in x directions, and when it is pitching, bow is directed toward in x directions, and y is
Vertical water is upwardly.
The matrix equation of the rigid motion contacted each other with elastic component for buoyant raft shock-resistant system 100 this n,
Statics and dynamical motion effect have following form
Q is transposed matrix in formula, and M is inertial matrix, and C is stiffness matrix, and D is damping matrix, and Q is to act on object
Force function vector.
For static problems, equation is as follows
Cg=Q (t) (6)
When ship is when waving, buoyant raft shock-resistant system 100 is subject to include gravity G, vibration isolator elastic force f (install by equipment 30
The vibration isolator flexible deformation generated after finishing by gravity) and hull pedestal restraining force F effects, so that equipment 30 generates
Relative displacement, vibration isolator 20 occur further to deform.At each moment waved, since the inclined angle of hull is different,
Using 100 center of gravity of buoyant raft shock-resistant system as under the coordinate system of origin, the component of gravity, hull restraining force are different.
Buoyant raft shock-resistant system 100 on ship is divided into two kinds of situations with respect to the position of swing center：1) buoyant raft shock-resistant system
100 are located under swing center；2) buoyant raft shock-resistant system 100 is located on swing center.
1) buoyant raft shock-resistant system 100 is located under swing center
Fig. 2 is stress sketch when buoyant raft shock-resistant system 100 is located under swing center, is waved counterclockwise in coordinate plane
Certain moment, ship inclination angle be θ when, with the generally research object of buoyant raft shock-resistant system 100, in x directions, buoyant raft is subject to base
Seat restraining force F1 and partical gravity Gsin θ, the tangential acceleration of buoyant raft shock-resistant system 100 is a1=(F1+Gsin θ)/m, tangentially
Acceleration direction is consistent with the oscillating motion restoring moment of ship, therefore when being rotated counterclockwise in coordinate plane, acceleration direction
+ x is taken, then
F1=ma1-Gsin θ (7)
Positive and negative values of the F1 under x coordinate are determined that the size of F1 determines that each moment sets in oscillating motion by ma1 and Gsin θ
The displacements of standby 30 opposite hull pedestals 200 and vibration isolator 20 deform size, and vibration isolator 20 deforms the change not included after installation is complete
Shape, simply increased deformation in rocking process.Al is obtained by formula (3).
In y directions, buoyant raft is subject to pedestal restraining force F2, partical gravity Gcos θ and elastic force f to act on, buoyant raft vibration isolation system
The normal acceleration of system 100 is a2=(F2+f-Gcos θ)/m, f=G=mg, and swing center is directed toward in normal acceleration direction, then
F2=ma2- (f-Gcos θ)=ma2-G (1-cos θ) (8)
Positive and negative values of the F2 under y-coordinate are determined by ma2 and Gcos θ.The size of F2 determines that each moment sets in oscillating motion
The displacements of standby 30 opposite hull pedestals 200 and vibration isolator deformation size, vibration isolator 20 deform the deformation not included after installation is complete,
Simply increased deformation in rocking process, direction is identical with the deformation possibility after installation, also may be opposite.A2 is by formula (4)
It obtains.
What is illustrated is that f is elastic force, after vavle shelf 10 and equipment 30 install, by gravity so that vibration isolator
20 are generated by compression, can be characterized with gravity acceleration g and quality m, i.e. f=G=mg.
For each moment in rocking process, the method for quasi-statics may be employed to acquire 30 relative displacement of equipment
And vibration isolator 20 deforms, that is, solves formula (6) matrix equation, the Q in x direction equations is taken as F1 ,-F1, they correspond to rocking process
In two symmetric positions, y direction equations take-F2.
2) buoyant raft shock-resistant system 100 is located on swing center
Stress sketch when Fig. 3 is located at for buoyant raft shock-resistant system 100 on swing center, the swings clockwise in coordinate plane
Certain moment, ship inclination angle be θ when, with the generally research object of buoyant raft shock-resistant system 100, in x directions, buoyant raft is subject to base
Seat restraining force F1 and partical gravity Gsin θ, the tangential acceleration of buoyant raft shock-resistant system 100 is a1=- (F1+Gsin θ)/m, tangentially
Acceleration direction is consistent with the oscillating motion restoring moment of ship, then
F1=-ma1-Gsin θ (9)
Positive and negative values of the F1 under x coordinate are determined by ma1 and Gsin θ.
In y directions, buoyant raft is subject to pedestal restraining force F2, partical gravity Gcos θ and elastic force f to act on, buoyant raft vibration isolation system
The normal acceleration of system 100 is a2=- (F2+f-Gcos θ)/m, f=G=mg, then
F2=-ma2-f+Gcos θ=- ma2-G (1-cos θ) (10)
Positive and negative values of the F2 under y-coordinate are determined by ma2 and Gcos θ.
For each moment in rocking process, the method for quasi-statics may be employed to acquire 30 relative displacement of equipment
And vibration isolator 20 deforms, that is, solves formula (6) matrix equation, the Q in x direction equations is taken as F1 ,-F1, they correspond to rocking process
In two symmetric positions, y direction equations take-F2.
It, respectively will be suffered by corresponding buoyant raft shock-resistant system of each moment according to the form of finite element software after the completion of calculating
F1 and F2 are input in software, to obtain relative deformation of the vibration isolator 20 in rocking process, equipment 30 in rocking process
The stress variation that relative displacement, vavle shelf 10 generate in rocking process.
S3, marine hydrostatic calculation is carried out using finite element software, obtains the deformation of corresponding vibration isolator 20 of each moment, equipment
30 displacement, the stress of raft frame 10, the result at each moment is compared, and is deformed, the maximum of displacement and stress.
A kind of naval vessel buoyant raft is established the present invention is based on finite element software and waves calculating method for stability, and the method can be examined fully
Consider the stress of buoyant raft in rocking process, avoid the error generated in common Engineering Algorithm；Secondly, because using common finite element as base
Plinth waves stability to calculate, to buoyant raft model size almost without limitation, can meet that engineering may use in practice every
It shakes device quantity, establishes the threedimensional model of buoyant raft shock-resistant system, obtain the stress variation of the buoyant raft itself in rocking process, for establishment
The state of the art of buoyant raft provides foundation.
Each embodiment is described by the way of progressive in this specification, the highlights of each of the examples are with other
The difference of embodiment, just to refer each other for identical similar portion between each embodiment.
The embodiment of the present invention is described above in conjunction with attached drawing, but the invention is not limited in above-mentioned specific
Embodiment, above-mentioned specific embodiment is only schematical rather than restricted, those of ordinary skill in the art
Under the enlightenment of the present invention, present inventive concept and scope of the claimed protection are not being departed from, can also made very much
Form, these are belonged within the protection of the present invention.
Claims (4)
1. a kind of naval vessel buoyant raft shock-resistant system waves calculating method for stability, which is characterized in that comprises the following steps：
S1, the finite element model for establishing buoyant raft shock-resistant system establish the three-dimensional of buoyant raft shock-resistant system using general finite meta software
Model, and the stiffness properties of model quality attribute and vibration isolator are assigned, grid division establishes finite element model；
S2, force analysis, the main effect for considering Ship Swaying in the process to buoyant raft shock-resistant system are carried out to buoyant raft shock-resistant system
Ship Swaying is reduced to compound motion by power, and on the premise of rolling period and maximum angle is obtained, naval vessel is entirely waved week
Phase is divided into several deciles, asks for the stress of the buoyant raft shock-resistant system of each time point, then the form according to finite element software, point
Ship suffered by corresponding buoyant raft shock-resistant system of each moment is not input in software its active force；
S3, marine hydrostatic calculation is carried out using finite element software, obtains deformation, the position of equipment of corresponding vibration isolator of each moment
It moves, the stress of raft frame, then compares the result at each moment, deformed, the maximum of displacement and stress.
2. naval vessel buoyant raft shock-resistant system according to claim 1 waves calculating method for stability, which is characterized in that step S2
In, the ship active force that buoyant raft shock-resistant system is subject to when waving includes gravity G, vibration isolator elastic force f, hull pedestal restraining force
F, wherein f=G, buoyant raft shock-resistant system are divided into following two situations with respect to the position of swing center：
1) buoyant raft shock-resistant system is located under swing center, and tangentially make a concerted effort F1, the normal direction of suffered hull pedestal restraining force F are made a concerted effort F2 points
It is not：
F1=ma1-Gsin θ (7)
F2=ma2- (f-Gcos θ)=ma2-G (1-cos θ) (8)
2) buoyant raft shock-resistant system is located on swing center, and tangentially make a concerted effort F1, the normal direction of suffered hull pedestal restraining force F are made a concerted effort F2 points
It is not：
F1=-ma1-Gsin θ (9)
F2=ma2- (f-Gcos θ)=ma2-G (1-cos θ) (10)
In formula (7)-(10), m is the quality of buoyant raft shock-resistant system, and G is gravity suffered by buoyant raft shock-resistant system, and θ is ship inclination angle
Degree, a1 are the tangential acceleration of buoyant raft shock-resistant system, and a2 is the normal acceleration of buoyant raft shock-resistant system.
3. naval vessel buoyant raft shock-resistant system according to claim 2 waves calculating method for stability, which is characterized in that buoyant raft every
Tangential acceleration a1, the normal acceleration a2 of vibrating system are calculated respectively by formula (3), (4),
ατ=R α=R ω2θmsin(ωt+φ0) (3)
αn=Rv2=R [ω θmcos(ωt+φ0)]2 (4)
In formula, ατFor each point tangential acceleration, α in shipnFor each point normal acceleration in ship, R be point to swinging shaft away from
Angular acceleration when from, α being Ship Swaying, angular speed when v is Ship Swaying, ω are the circular frequency of Ship Swaying, θmFor ship
The maximum angular displacement that oceangoing ship waves, φ0For initial phase.
4. naval vessel buoyant raft shock-resistant system according to claim 3 waves calculating method for stability, which is characterized in that ship shakes
The circular frequency ω of pendulum is calculated by formula (2),
<mrow>
<mi>&omega;</mi>
<mo>=</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
<mi>T</mi>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula, T is the Ship Swaying cycle.
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