CN110230661A - A kind of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system - Google Patents
A kind of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system Download PDFInfo
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- CN110230661A CN110230661A CN201910506614.XA CN201910506614A CN110230661A CN 110230661 A CN110230661 A CN 110230661A CN 201910506614 A CN201910506614 A CN 201910506614A CN 110230661 A CN110230661 A CN 110230661A
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- piecewise linearity
- rotor
- beams
- support
- foundation system
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F15/00—Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
- F16F15/10—Suppression of vibrations in rotating systems by making use of members moving with the system
- F16F15/14—Suppression of vibrations in rotating systems by making use of members moving with the system using masses freely rotating with the system, i.e. uninvolved in transmitting driveline torque, e.g. rotative dynamic dampers
- F16F15/1407—Suppression of vibrations in rotating systems by making use of members moving with the system using masses freely rotating with the system, i.e. uninvolved in transmitting driveline torque, e.g. rotative dynamic dampers the rotation being limited with respect to the driving means
- F16F15/145—Masses mounted with play with respect to driving means thus enabling free movement over a limited range
Abstract
A kind of nonlinear energy trap (Nonlinear energy sink with piecewise linearity beam applied to rotor-support-foundation system of the invention, NES), including NES frame, multiple leaf springs and multiple mass blocks, leaf spring one end is connect with NES frame, the other end is correspondingly connected with a mass block, and multiple leaf springs are uniformly arranged.The present invention replaces cube rigidity beam with piecewise linearity rigidity beam is equivalent, the nonlinear energy trap is high to the fitting precision of cube rigidity, the variation of piecewise linearity rigidity is related with the vibration displacement size of system, and it is non-linear that the gap by changing piecewise linearity beam and mass block can effectively change its;The nonlinear energy trap is transferred to the energy of system to be damped outside system by nonlinear energy trap to consume, and rationally, vibration suppression bandwidth, inhibition of vibration is significant for simple and compact for structure, design.
Description
Technical field
The invention belongs to shock-absorbing means technical fields, are related to a kind of applied to the non-with piecewise linearity beam of rotor-support-foundation system
Linear energy trap.
Background technique
Rotating machinery is widely applied in national economy, in many failure causes of rotating machinery, brought by vibration
Failure accounts for very big ratio, and for high-speed rotating machine, rotor-support-foundation system often exists vibrated in the process of running
Big problem, when the working speed of rotor is equal or close with critical speed, equipment can resonate, and rotating machinery is excessively total
Amplitude can increased dramatically when vibration frequency, therefore serious damage can be caused to machine, not only influence the stable operation of equipment, some
Catastrophic consequence even is caused, therefore the research of rotating machinery vibrating control method is particularly important.
Currently, the vibration control method of relatively broad application includes passive inhibits and two kinds of active suppression.Passive absorbing
Structure is simple, but vibration suppression frequency band is narrow;The vibration suppression frequency range of active vibration absorption method is big, but structure is complicated, is not suitable for
It is applied in more accurate rotating machinery, the problems such as when operating condition complexity will cause reliability decrease.
Summary of the invention
The present invention provides a kind of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system, passes through segmented line
Property beam and the gap-contact of mass block generate non-linear cube of rigidity, achieve the purpose that vibration suppression, the apparatus structure is simple, vibration suppression frequency
Bandwidth, significant effect.
The present invention provides a kind of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system, comprising: is arranged
NES frame, multiple leaf springs and multiple mass blocks on rotor shaft, leaf spring one end is connect with NES frame, another
End is correspondingly connected with a mass block, and multiple leaf springs are uniformly arranged;
The leaf spring includes connection sheet and eight beams being arranged in connection sheet, and eight beams include from the two of connection sheet
Two attachment beams, two first piecewise linearity beams, two second piecewise linearity beams and two thirds of lateral intermediate symmetry setting
Piecewise linearity beam, the length and thickness of eight beams are all the same, attachment beam, the first piecewise linearity beam, the second piecewise linearity beam and
The width of three piecewise linearity beams is incremented by;
The mass block is made of two pressure plates, and the stepped groove being made of eight ladders, eight ranks are arranged on pressing plate bottom surface
Ladder includes two the first ladders being arranged from two sides of pressing plate to intermediate symmetry, two the second ladders, two third ladders and two
A fourth order ladder, the depth of ladder are incremented by from two sides to centre;
The connection sheet is connect with NES frame, and the end correspondence of eight beams is extend on eight ladders of stepped groove, and two pieces
The bottom surface of pressing plate fluting is opposite to be fastened and is bolted the end compression of two attachment beams.
In the nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention, attachment beam, first
The bending stiffness of piecewise linearity beam, the second piecewise linearity beam and third piecewise linearity beam calculates according to the following formula:
Wherein, E is the elasticity modulus of leaf spring, IjFor the section turn moment of beam, ljFor the length of beam, bjFor the width of beam,
hjFor the thickness of beam;K when j=1n1Indicate the bending stiffness of attachment beam, kn1Equal to the rigidity of rotor-support-foundation system, k when j=2n2It indicates
The bending stiffness of first piecewise linearity beam, k when j=2n3Indicate the bending stiffness of the second piecewise linearity beam, k when j=4n4Indicate the
The bending stiffness of three piecewise linearity beams.
In the nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention, the elasticity of energy wells
The relationship such as following formula for the vibration displacement x that active force y and rotor rotation generate:
Wherein, e1Indicate gap, the e of the second ladder of the first piecewise linearity beam and side2Indicate the second piecewise linearity beam with
The gap of the third ladder of side, e3Indicate the gap of the fourth order ladder of third piecewise linearity beam and side;When x is negative
Sgn (x)=- 1;The sgn (x)=1 when x is positive number;The sgn (x)=0 when x is 0.
In the nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention, the NES frame
Fixed part including circular tube shaped and the multiple link slots being uniformly located on the outer wall of fixed part, the connection sheet pass through bolt and install
In corresponding link slot, the fixed part is set on rotor shaft.
In the nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention, including 3 steel plates
3 link slots are arranged on the outer wall of fixed part for spring.
In the nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention, the spacing of adjacent beams
It is sequentially reduced from two sides to centre.
A kind of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention, design rationally, are tied
Structure is simple, and application is strong.The present apparatus is by the gap-contact of piecewise linearity beam instead of nonlinear organization, vibration suppression bandwidth.This
Size of the device by adjusting the width of piecewise linearity beam and with quality block gap, can easily adjust non-linear, vibration suppression
Effect is obvious.
Detailed description of the invention
Fig. 1 is a kind of structure of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention
Figure;
Fig. 2 is that a kind of entirety of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system of the invention is answered
Use schematic diagram;
Fig. 3 is leaf spring structural schematic diagram;
Fig. 4 is that pressing plate and leaf spring install gap section enlarged diagram;
Fig. 5 is the piecewise linearity working principle diagram of the nonlinear energy trap with piecewise linearity beam;
Fig. 6 is piecewise linearity rigidity and non-linear rigidity matched curve figure;
Fig. 7 is the amplitude-frequency response that nonlinear energy trap rotor-support-foundation system is not added;
Fig. 8 is the amplitude-frequency response of rotor-support-foundation system after adding nonlinear energy trap.
Specific embodiment
As depicted in figs. 1 and 2, a kind of nonlinear energy with piecewise linearity beam applied to rotor-support-foundation system of the invention
Trap includes: the NES frame 1, multiple leaf springs 2 and multiple mass blocks 3 being set on rotor shaft.One end of leaf spring 2
It is connect with NES frame 1, the other end is correspondingly connected with a mass block 3, and multiple leaf springs 2 are uniformly arranged.
As shown in figure 3, the leaf spring 2 includes connection sheet 21 and eight beams being arranged in connection sheet 21, eight beams
Including two attachment beams, 22, two 23, two, the first piecewise linearity beams being arranged from two sides of connection sheet 21 to intermediate symmetry
The linear beam 24 of two-section and two third piecewise linearity beams 25, the length and thickness of eight beams are all the same, the spacing of adjacent beams from
Two sides are sequentially reduced to centre.Attachment beam 22, the first piecewise linearity beam 23, the second piecewise linearity beam 24 and third piecewise linearity beam
25 width is incremented by.
As shown in figure 4, the mass block 3 is made of two pressure plates 31, it is provided on 31 bottom surface of pressing plate by eight ladder structures
At stepped groove 32, eight ladders include two the first ladders 33, two second being arranged from two sides of pressing plate to intermediate symmetry
The depth of 34, two third ladders 35 of ladder and two fourth order ladders 36, ladder is incremented by from two sides to centre.
Connection sheet 21 is connect with NES frame 1, and NES frame 1 includes that the fixed part 11 of circular tube shaped is located at fixed part 11 with uniform
Outer wall on multiple link slots 12.The connection sheet 21 is mounted in corresponding link slot 12 by bolt, and NES frame 1 is logical
11 sets of fixed part are crossed to be set on rotor shaft and rotate together with shaft.The end correspondence of eight beams extend into the eight of stepped groove 32
On a ladder, the bottom surface that two pressure plates 31 are slotted is opposite to be fastened and is bolted the end compression of two attachment beams 22.
I.e. after the opposite fastening of two pressure plates 31, two opposite the first ladders 33 fastening compresses attachment beam 22 in two pressure plates 31.Tool
When body is implemented, using 3 leaf springs 2,3 link slots are set on corresponding NES frame 1.
When it is implemented, the attachment beam 22 of leaf spring 2, the first piecewise linearity beam 23, the second piecewise linearity beam 24 and
The bending stiffness of three piecewise linearity beams 25 calculates according to the following formula:
Wherein, E is the elasticity modulus of leaf spring, IjFor the section turn moment of beam, ljFor the length of beam, bjFor the width of beam,
hjFor the thickness of beam.K when j=1n1Indicate the bending stiffness of attachment beam 22, kn1Equal to the rigidity of rotor-support-foundation system.K when j=2n2Table
Show the bending stiffness of the first piecewise linearity beam 23, k when j=2n3Indicate the bending stiffness of the second piecewise linearity beam 24, k when j=4n4
Indicate the bending stiffness of third piecewise linearity beam 25.Wherein, l1=l2=l3=l4=l, h1=h2=h3=h4=h.
Fig. 5 be the nonlinear energy trap with piecewise linearity beam piecewise linearity working principle diagram, the power of piecewise linearity with
The relationship of displacement is shown below, and y indicates that the elastic acting force of energy wells, x indicate the vibration displacement x that rotor rotation generates:
Referring to attached drawing 4, e1Indicate gap, the e of the second ladder 34 of the first piecewise linearity beam 23 and side2Indicate second point
The gap of section linear beam 24 and the third ladder 35 of side, e3Indicate the fourth order ladder 36 of third piecewise linearity beam 25 and side
Gap.The sgn (x)=- 1 when x is negative;The sgn (x)=1 when x is positive number;When x is 0 sgn (x)=
0。
Nonlinear spring with cube rigidity is beneficial to vibration suppression, and the relationship of power and displacement is shown below:
Y=kx3(-e3≤x≤e3) (3)
According to formula (2) draw piecewise linearity beam force-displacement curve, as shown in fig. 6, by piecewise linear curve with it is non-thread
Linearity curve is fitted.It can determine the length of attachment beam 22, the relationship of width and thickness according to the rigidity of known rotor system, by
It is identical and thick with the length of third piecewise linearity beam 25 in attachment beam 22, the first piecewise linearity beam 23, the second piecewise linearity beam 24
Spend it is identical, therefore according to formula (1) attachment beam 22, the first piecewise linearity beam 23, the second piecewise linearity beam 24 and third point
The bending stiffness and width of the linear beam 25 of section are directly proportional.Attachment beam 22 in formula (2), can be derived by matched curve
Proportionate relationship between one piecewise linearity beam 23, the second piecewise linearity beam 24 and the bending stiffness of third piecewise linearity beam 25, into
And it can determine the ratio of attachment beam 22, the first piecewise linearity beam 23, the second piecewise linearity beam 24 and third piecewise linearity beam 25 and close
System, and then design suitable leaf spring.
As shown in fig. 6, piecewise linear curve of the invention has been fitted non-linear rigidity curve substantially, illustrate to use segmented line
Property structure replace nonlinear organization feasibility.
As Figure 7-8, the amplitude-frequency response for respectively adding the forward and backward rotor-support-foundation system of nonlinear energy trap of the invention is bent
Line.It can be seen that rotor-support-foundation system is reduced in the peak swing of resonance region by 2.2mm or so after additional non-linearity energy wells
0.75mm hereinafter, and there is SMR phenomenon in resonance region, vibration suppression ratio has reached 70% or more.It illustrates of the invention non-
Linear energy trap has good wideband to inhibit vibration ability.
Nonlinear energy trap of the invention inhibits vibration processes as follows: when rotor-support-foundation system vibrates, two attachment beams
22, two first piecewise linearity beams, 23, two second piecewise linearity beams 24 and two third piecewise linearity beams 25 successively with quality
The respective steps contact of block 3 generates reaction force, when system vibration displacement is less than e1When, only attachment beam 22 connects with mass block 3
Touching, attachment beam 22 acts on displacement range (0, x) and generates linear rigidity at this time;When system vibration is displaced between e1With e2When,
Attachment beam 22 at this time, the first piecewise linearity beam 23 generate reaction force, are displaced in (e1, x) and section shows as linear rigidity, but
Piecewise linearity rigidity has accurately been fitted the nonlinear spring rates with cube rigidity substantially, when displacement is successively more than e2And e3
Shi Tongli.
The foregoing is merely presently preferred embodiments of the present invention, the thought being not intended to limit the invention, all of the invention
Within spirit and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (6)
1. a kind of nonlinear energy trap with piecewise linearity beam applied to rotor-support-foundation system characterized by comprising be set in
NES frame, multiple leaf springs and multiple mass blocks, leaf spring one end on rotor shaft are connect with NES frame, the other end
It is correspondingly connected with a mass block, multiple leaf springs are uniformly arranged;
The leaf spring includes connection sheet and eight beams being arranged in connection sheet, eight beams include from two sides of connection sheet to
Two attachment beams, two first piecewise linearity beams, two second piecewise linearity beams and the two third segmentations of intermediate symmetry setting
Linear beam, the length and thickness of eight beams are all the same, attachment beam, the first piecewise linearity beam, the second piecewise linearity beam and third point
The width of the linear beam of section is incremented by;
The mass block is made of two pressure plates, and the stepped groove being made of eight ladders, eight ladder packets are arranged on pressing plate bottom surface
Include two the first ladders being arranged from two sides of pressing plate to intermediate symmetry, two the second ladders, two third ladders and two
The depth of four-step, ladder is incremented by from two sides to centre;
The connection sheet is connect with NES frame, and the end correspondence of eight beams is extend on eight ladders of stepped groove, two pressure plates
The bottom surface of fluting is opposite to be fastened and is bolted the end compression of two attachment beams.
2. being applied to the nonlinear energy trap with piecewise linearity beam of rotor-support-foundation system as described in claim 1, feature exists
It is counted according to the following formula in the bending stiffness of, attachment beam, the first piecewise linearity beam, the second piecewise linearity beam and third piecewise linearity beam
It calculates:
Wherein, E is the elasticity modulus of leaf spring, IjFor the section turn moment of beam, ljFor the length of beam, bjFor the width of beam, hjFor
The thickness of beam;K when j=1n1Indicate the bending stiffness of attachment beam, kn1Equal to the rigidity of rotor-support-foundation system, k when j=2n2Indicate first
The bending stiffness of piecewise linearity beam, k when j=2n3Indicate the bending stiffness of the second piecewise linearity beam, k when j=4n4Indicate third point
The bending stiffness of the linear beam of section.
3. being applied to the nonlinear energy trap with piecewise linearity beam of rotor-support-foundation system as claimed in claim 2, feature exists
In the relationship such as following formula for the vibration displacement x that elastic acting force y and the rotor rotation of energy wells generate:
Wherein, e1Indicate gap, the e of the second ladder of the first piecewise linearity beam and side2Indicate the second piecewise linearity beam and side
Third ladder gap, e3Indicate the gap of the fourth order ladder of third piecewise linearity beam and side;Sgn when x is negative
(x)=- 1;The sgn (x)=1 when x is positive number;The sgn (x)=0 when x is 0.
4. being applied to the nonlinear energy trap with piecewise linearity beam of rotor-support-foundation system as described in claim 1, feature exists
In multiple link slots that, the NES frame includes the fixed part of circular tube shaped and is uniformly located on the outer wall of fixed part, the connection
Piece is mounted in corresponding link slot by bolt, and the fixed part is set on rotor shaft.
5. being applied to the nonlinear energy trap with piecewise linearity beam of rotor-support-foundation system as claimed in claim 4, feature exists
In 3 link slots are arranged on, including 3 leaf springs, the outer wall of fixed part.
6. being applied to the nonlinear energy trap with piecewise linearity beam of rotor-support-foundation system as described in claim 1, feature exists
In the spacing of adjacent beams is sequentially reduced from two sides to centre.
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110886808A (en) * | 2019-12-04 | 2020-03-17 | 上海大学 | Amplitude limiting type nonlinear energy trap vibration damper |
CN111306243A (en) * | 2020-04-01 | 2020-06-19 | 青岛理工大学 | Slideway type nonlinear energy trap vibration damper |
CN114458732A (en) * | 2022-02-16 | 2022-05-10 | 东北大学 | Gap type nonlinear energy trap applied to torsional vibration suppression of rotor system |
CN114611358A (en) * | 2022-03-15 | 2022-06-10 | 清华大学 | Step rotor dynamics analysis method using equivalent beam unit modeling |
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CN108547914A (en) * | 2018-05-18 | 2018-09-18 | 东北大学 | One kind carrying piecewise linearity torsion of bar bump leveller |
CN108662059A (en) * | 2018-04-03 | 2018-10-16 | 东北大学 | A kind of non-linear bump leveller using piecewise linearity rigid spring |
EP3273087B1 (en) * | 2016-07-19 | 2018-10-31 | Airbus Helicopters | A resonator and an aircraft provided with the resonator |
CN108825718A (en) * | 2018-07-19 | 2018-11-16 | 东北大学 | A kind of grounding type nonlinear energy trap inhibiting vibration of rotor system |
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DE102010040175A1 (en) * | 2010-09-02 | 2012-03-08 | B.E.C. Breitbach Engineering Consulting Gmbh | Vibration damper with variable natural absorption frequency |
EP3273087B1 (en) * | 2016-07-19 | 2018-10-31 | Airbus Helicopters | A resonator and an aircraft provided with the resonator |
CN108662059A (en) * | 2018-04-03 | 2018-10-16 | 东北大学 | A kind of non-linear bump leveller using piecewise linearity rigid spring |
CN108547914A (en) * | 2018-05-18 | 2018-09-18 | 东北大学 | One kind carrying piecewise linearity torsion of bar bump leveller |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
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CN110886808A (en) * | 2019-12-04 | 2020-03-17 | 上海大学 | Amplitude limiting type nonlinear energy trap vibration damper |
CN110886808B (en) * | 2019-12-04 | 2021-08-06 | 上海大学 | Amplitude limiting type nonlinear energy trap vibration damper |
CN111306243A (en) * | 2020-04-01 | 2020-06-19 | 青岛理工大学 | Slideway type nonlinear energy trap vibration damper |
CN114458732A (en) * | 2022-02-16 | 2022-05-10 | 东北大学 | Gap type nonlinear energy trap applied to torsional vibration suppression of rotor system |
CN114611358A (en) * | 2022-03-15 | 2022-06-10 | 清华大学 | Step rotor dynamics analysis method using equivalent beam unit modeling |
CN114611358B (en) * | 2022-03-15 | 2023-06-16 | 清华大学 | Stepped rotor dynamics analysis method using equivalent beam unit modeling |
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