CN103334681A - Sonic boom resistance soundproof window based on movable reinforced bars and design method of sonic boom resistance soundproof window - Google Patents

Sonic boom resistance soundproof window based on movable reinforced bars and design method of sonic boom resistance soundproof window Download PDF

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CN103334681A
CN103334681A CN2013102010713A CN201310201071A CN103334681A CN 103334681 A CN103334681 A CN 103334681A CN 2013102010713 A CN2013102010713 A CN 2013102010713A CN 201310201071 A CN201310201071 A CN 201310201071A CN 103334681 A CN103334681 A CN 103334681A
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sonic boom
reinforcement unit
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forms
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CN103334681B (en
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欧达毅
麦卓明
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Huaqiao University
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Abstract

The invention relates to a sonic boom resistance soundproof window based on movable reinforced bars and a design method of the sonic boom resistance soundproof window. The sonic boom noise resistance of a construction window body can be improved effectively. Rapid calculation can be conducted, and the reinforced bars can be positioned in optimal positions rapidly with the adoption of a transient vibroacoustic response model of a reinforced plate structure to ensure that a window body structure obtains the optimal sonic boom isolation capability; the reinforced plate structure is applicable to the window body structure which has any elastic boundary condition, is in any size and is made of any material; the acting positions of the reinforced bars are controllable; sonic boom noises of different types can be treated; the reinforced bars can be folded automatically in case of no interference of the sonic boom noise; and the influence on the original function of the window body is reduced to the greatest extent.

Description

A kind of anti-sonic boom soundproof window and method for designing thereof based on movable sinew adding strip
Technical field
The present invention relates to a kind of anti-sonic boom soundproof window and method for designing thereof of movable sinew adding strip.
Background technology
A kind of huge noise that " sonic boom " produces when being supersonic plane flight can bring near the resident the course line to seriously influence, and is restriction supersonic plane cause, especially restricts one of key factor of the application of supersonic speed aircarrier aircraft and development.In order to address this problem, constantly there are scholar and research institution that this specific noise is furtherd investigate in recent years, attempt to seek to reduce measure and the method for its influence.Achievement in research comprises: start with from noise source itself, the fuselage of aircraft, wing etc. are optimized design; Start with from the noise transmission approach, building structure is optimized design, especially sound insulation weak links such as building door, window are improved.For example, be published in " The effects of elastic supports on the transient vibroacoustic response of a window caused by sonic booms " (Journal of the Acoustical Society of America of Acoustical Society of America's magazine in 2011, Vol.130 (2), pp783-790), start with from building structure exactly, proposed by optimizing the building window design method that the border mounting condition improves " sonic boom " isolation capacity.Use this method for designing, anti-" sonic boom " ability of building forms be improved significantly, but weak point is: the border that calculates is optimized parameter and is difficult in and installs accurate realization; And after the forms installation, fringe conditions just is fixed up, and can't adjust at dissimilar " sonic boom " noises again.
As common structure in the engineering application, the sound insulation property of stiffened panel structure is subjected to extensive concern always.The sound insulation property of stiffened panel structure and the parameters of sinew adding strip are closely related, can be by the isoparametric optimization of quantity, active position of sinew adding strip being improved the sound insulation property of structure in design process.For example, " Effect of Elastic Boundary Supports and Stiffening Treatments on Vibroacoustic Response of Plate-like Structures " (The Hong Kong Polytechnic University's thesis for the doctorate, 2011) just conduct in-depth analysis to the action effect of sinew adding strip and the sound insulation property that how improves slabbed construction by reinforced action.
The building window structure is a kind of typical slabbed construction, if can introduce the reinforcement technology, and pass through appropriate design, make window structure on the impregnable basis of original function (as printing opacity function and view function), obtain stronger " sonic boom " isolation capacity, this will play useful effect to the development of building opacity technique and state aviation cause.
Summary of the invention
The objective of the invention is to introducing activity sinew adding strip technology and in conjunction with the transient vibration response model of stiffened panel structure, a kind of anti-sonic boom soundproof window and method for designing thereof are proposed, make it to instruct the optimal design of building forms under any fringe conditions, realize that window structure on the impregnable basis of original function (as printing opacity function and view function), obtains stronger " sonic boom " isolation capacity.
A kind of anti-sonic boom soundproof window based on movable sinew adding strip, comprise forms, frame, at least one group of reinforcement unit and be used for the control module of control reinforcement unit, wherein forms and frame are formed soundproof window, a pair of sinew adding strip constitutes one group of reinforcement unit, the axis that this paired sinew adding strip is held on the inside and outside surface of forms and this sinew adding strip is parallel to the base of forms all the time, and this control module does to be parallel to moving up and down of forms base according to result of calculation and parameter preset control reinforcement unit.
A kind of method for designing of the anti-sonic boom soundproof window based on movable sinew adding strip comprises the steps:
Step 1, set up the transient vibration response equation of stiffened panel structure, be used for the soundproof window that any fringe conditions of simulation and optional position reinforcement are handled:
Use formula
Figure BDA00003254158600021
Calculate the transient vibration response of soundproof window, involving vibrations displacement, vibration velocity, vibration acceleration and transmission acoustic pressure,
The derivation of above-mentioned formula is based on time-domain finite element method and time domain rayleigh integral method, wherein, U},
Figure BDA00003254158600022
With
Figure BDA00003254158600032
Be global node displacement, node speed and node acceleration; (ξ t) is instantaneous transmission acoustic pressure to p; { p 0(t) } be instantaneous incident sound pressure (such as " sonic boom " noise);
Figure BDA00003254158600035
Incident sound pressure can be converted to equivalent nodal force as transition matrix; ü is the normal acceleration of stiffened panel each point, can be by the node acceleration
Figure BDA00003254158600033
Derive and obtain; ρ 0Be atmospheric density; S pBe the stiffened panel area; σ HBasic acoustic pressure function for half space; { M} is the total quality matrix of stiffened panel structure, by the element mass matrix { M of motherboard p} eEquivalent unit mass matrix { M with the reinforcement unit s} eForm; { K} is the integral rigidity matrix of stiffened panel structure, by the element stiffness matrix { K of motherboard p} e, the reinforcement unit equivalent unit stiffness matrix { K s} eWith the equivalent unit stiffness matrix { K that supports the border b} eForm, wherein:
{M p} eph∫∫{N} T{H p}{N}dxdy,
{M s} e=∫(σ s{N} T{N})dl se
{K p} e=∫∫{B p} T{D p}{B p}dxdy,
{K s} e=∫(k ts({N} T{N})+k rs({N y} T{N y}))dl se
{ K b } e = ∫ ( k tb { N w } T { N w } + k rb { ∂ N w ∂ n → b } T { ∂ N w ∂ n → b } ) d Γ b ,
Wherein, ρ pBe blank material density, h is motherboard thickness, { B pBe the motherboard strain matrix, { D pBe motherboard bending rigidity matrix, { H pBe the diagonal matrix function about h, { N} is the unit shape function, σ sBe the equivalent line density of being introduced by the reinforcement unit, l SeEquivalent unit axle for the reinforcement unit; k TsAnd k RsBe the parameter of reinforcement unit, represent lateral stiffness and the rotational stiffness of reinforcement unit respectively; k TbAnd k RbFor supporting the parameter on border, represent lateral stiffness and rotational stiffness that stiffened panel structure supports the border respectively,
Figure BDA00003254158600034
Boundary profile Γ for the stiffened panel unit bUnit normal vector, above-mentioned each amount can be derived by the parameters of stiffened panel structure and be obtained, and comprising: the number of motherboard shape, motherboard size, blank material, fringe conditions, sinew adding strip material, reinforcement unit, the active position of reinforcement unit;
k TbAnd k RbFor supporting the parameter on border, these parameters can be that constant also can be the function of position, can realize any simulation of boundary condition by changing these parameters;
k TsAnd k RsBe respectively lateral stiffness and the rotational stiffness of reinforcement unit, l SeBe the equivalent unit axle of reinforcement unit, by changing the parameter k of reinforcement unit Ts, k RsAnd l Se, can realize the simulation that the reinforcement of optional position, intensity is handled;
The known parameters of step 2, given soundproof window comprises forms size, window material and forms fringe conditions;
The design parameters of step 3, the used reinforcement of setting soundproof window unit comprises reinforcement unit number and sinew adding strip material, and the axis of setting sinew adding strip is parallel to the base of forms all the time;
The approximate time that the time domain waveform harmony outburst of step 4, given sonic boom noise is given birth to;
Step 5, the soundproof window known parameters according to step 2, reinforcement unit 3 design parameterss of step 3 and the sonic boom noise time domain waveform of step 4, use the transient vibration response equation of step 1, calculate the transient vibration response of soundproof window under the different reinforcement position, and the result of calculation of step 5 carried out evaluation analysis, filter out best reinforcement position, obtain the reinforcement unit to the distance H on forms base;
Step 6, at soundproof window removable reinforcement unit is set according to the design parameters of step 3;
Step 7, control module calculate the distance H on reinforcement unit to the forms base that obtains control are implemented in the reinforcement unit according to step 5, the approximate time that control module takes place according to sonic boom, control reinforcement unit upstream or downstream are to being the position of H apart from the forms base before sonic boom takes place, and all the other times are then controlled reinforcement cell moving going up or the lower limb position to forms.
Result of calculation to step 5 adopts index EX tAnd EX OpCarry out evaluation analysis, wherein EX tThe value and the EX that surpass Hubbard tactile threshold value for vibration acceleration OpBe the value of acoustic pressure above oppressive and vibration threshold value, index EX tAnd EX OpComputational methods specific as follows:
EX t = 10 lg ( Σ f { [ R t ( f ) - T t ( f ) ] × z } EX t ref ) , wherez = 1 , when R t ( f ) - T t ( f ) > 0 0 , else
EX op = 10 lg ( Σ f { [ R op ( f ) - T op ( f ) ] × z } EX op ref ) , wherez = 1 , when R op ( f ) - T op ( f ) > 0 0 , else
Wherein, R t(f) be frequency spectrum side's value of forms vibration acceleration, R Op(f) be frequency spectrum side's value of forms transmission acoustic pressure, T t(f) be Hubbard tactile threshold value side value, T Op(f) be oppressive and vibration threshold value side value,
Figure BDA00003254158600055
Be EX tReference value,
Figure BDA00003254158600056
Be EX OpReference value, the EX that calculates thus tAnd EX OpBe based on human feeling's evaluation index, the more big expression sonic boom of their value noise is more serious to indoor resident's harm and interference, otherwise harm and interference are more little.
After adopting technical scheme of the present invention, have following effect:
1, in conjunction with the transient vibration response model of stiffened panel structure, introducing activity sinew adding strip technology makes forms obtain stronger " sonic boom " isolation capacity;
2, the active position of reinforcement unit is controlled, can adjust at dissimilar sonic boom noises, makes forms obtain best " sonic boom " isolation capacity, and guarantees that the original function (as printing opacity function and view function) of building forms is unaffected as far as possible;
3, consider human body the master, objectively experience index, can more effectively weigh and reduce harm and the interference of noise on human body;
4, can instruct the optimal design of window structure under any fringe conditions, more correspond to actual needs;
5, can require to select the reinforcement unit of any amount according to reality, more correspond to actual needs;
6, applicable to the slabbed construction of other any fringe conditions, as door, wall, floor etc.
Description of drawings
Fig. 1 is method for designing schematic flow sheet of the present invention;
Fig. 2 is the structural representation of the embodiment of the invention one;
Fig. 3 is the sonic boom noise schematic diagram of the embodiment of the invention one;
Fig. 4 is the result of calculation figure of the embodiment of the invention one;
Fig. 5 is the structural representation of the embodiment of the invention two;
Fig. 6 is the sonic boom noise schematic diagram of the embodiment of the invention two.
The invention will be further described below in conjunction with the drawings and specific embodiments.
The specific embodiment
Shown in Fig. 2,5, a kind of anti-sonic boom soundproof window based on movable sinew adding strip of the present invention, mainly comprise forms 1, frame 2, at least one group of reinforcement unit 3 and be used for the control module 4 of control reinforcement unit 3, wherein forms 1 and frame 2 are formed soundproof window, a pair of sinew adding strip 31 constitutes one group of reinforcement unit 3, the axis that this paired sinew adding strip 31 is held on the inside and outside surface of forms 1 and this sinew adding strip 31 is parallel to the base of forms 1 all the time, and this control module 4 does to be parallel to moving up and down of forms 1 base according to result of calculation and parameter preset control reinforcement unit 3.
As shown in Figure 1, the method for designing of a kind of anti-sonic boom soundproof window based on movable sinew adding strip of the present invention specifically comprises the steps:
Step 1, set up the transient vibration response equation of stiffened panel structure, be used for the soundproof window that any fringe conditions of simulation and optional position reinforcement are handled:
Use formula
Figure BDA00003254158600061
Calculate the transient vibration response of soundproof window, involving vibrations displacement, vibration velocity, vibration acceleration and transmission acoustic pressure,
The derivation of above-mentioned formula is based on time-domain finite element method and time domain rayleigh integral method, wherein, U}, With
Figure BDA00003254158600063
Be global node displacement, node speed and node acceleration; (ξ t) is instantaneous transmission acoustic pressure to p; { p 0(t) } be instantaneous incident sound pressure (such as " sonic boom " noise); Incident sound pressure can be converted to equivalent nodal force as transition matrix; ü is the normal acceleration of stiffened panel each point, can be by the node acceleration
Figure BDA00003254158600072
Derive and obtain; ρ 0Be atmospheric density; S pBe the stiffened panel area; σ HBasic acoustic pressure function for half space; { M} is the total quality matrix of stiffened panel structure, by the element mass matrix { M of motherboard p} eEquivalent unit mass matrix { M with the reinforcement unit s} eForm; { K} is the integral rigidity matrix of stiffened panel structure, by the element stiffness matrix { K of motherboard p} e, the reinforcement unit equivalent unit stiffness matrix { K s} eWith the equivalent unit stiffness matrix { K that supports the border b} eForm, wherein:
{M p} eph∫∫{N} T{H p}{N}dxdy,
{M s} e=∫(σ s{N} T{N})dl se
{K p} e=∫∫{B p} T{D p}{B p}dxdy,
{K s} e=∫(k ts({N} T{N})+k rs({N y} T{N y}))dl se
{ K b } e = ∫ ( k tb { N w } T { N w } + k rb { ∂ N w ∂ n → b } T { ∂ N w ∂ n → b } ) d Γ b ,
Wherein, ρ pBe blank material density, h is motherboard thickness, { B pBe the motherboard strain matrix, { D pBe motherboard bending rigidity matrix, { H pBe the diagonal matrix function about h, { N} is the unit shape function, σ sBe the equivalent line density of being introduced by the reinforcement unit, l SeEquivalent unit axle for the reinforcement unit; k TsAnd k RsBe the parameter of reinforcement unit, represent lateral stiffness and the rotational stiffness of reinforcement unit respectively; k TbAnd k RbFor supporting the parameter on border, represent lateral stiffness and rotational stiffness that stiffened panel structure supports the border respectively,
Figure BDA00003254158600073
Boundary profile Γ for the stiffened panel unit bUnit normal vector, above-mentioned each amount can be derived by the parameters of stiffened panel structure and be obtained, and comprising: the number of motherboard shape, motherboard size, blank material, fringe conditions, sinew adding strip material, reinforcement unit, the active position of reinforcement unit;
k TbAnd k RbFor supporting the parameter on border, these parameters can be that constant also can be the function of position, can realize any simulation of boundary condition by changing these parameters;
k TsAnd k RsBe respectively lateral stiffness and the rotational stiffness of reinforcement unit, l SeBe the equivalent unit axle of reinforcement unit, by changing the parameter k of reinforcement unit Ts, k RsAnd l Se, can realize the simulation that the reinforcement of optional position, intensity is handled;
The known parameters of step 2, given soundproof window comprises forms size, window material and forms fringe conditions;
In order to be illustrated more clearly in, be example with embodiment shown in Figure 2, the known parameters of given these forms 1 comprises forms size, window material and forms fringe conditions, concrete parameter value is as shown in the table:
Figure BDA00003254158600081
The design parameters of step 3, the used reinforcement of setting soundproof window unit 3, comprise reinforcement unit 3 numbers and sinew adding strip 31 materials, the axis of setting sinew adding strip 31 is parallel to the base of forms 1 all the time, generally speaking, the number of reinforcement unit 3 is more many, soundproof window after the optimal design is more good to the isolated effect of sonic boom noise, but the complexity of corresponding assembling and control procedure also can increase, and can set the number of reinforcement unit 3 according to actual needs during application;
Such as, the design parameters of setting reinforcement unit 3 comprises reinforcement unit 3 numbers and sinew adding strip 31 materials among the embodiment one, concrete parameter value is as shown in the table:
Figure BDA00003254158600082
The approximate time that the time domain waveform harmony outburst of step 4, given sonic boom noise is given birth to, wherein, the time domain waveform of sonic boom can directly obtain (perhaps estimating according to information such as aircraft model, speed per hours) by measuring; The time that sonic boom takes place then can be according to roughly estimations such as the course line of aircraft, timetables;
Such as, the approximate time that the outburst of the time domain waveform harmony of given sonic boom noise is given birth among the embodiment one.Wherein, the time domain waveform of sonic boom as shown in Figure 3, the approximate time that sonic boom takes place is as shown in the table:
The sonic boom timetable
06:31
13:34
21:07
Step 5, the soundproof window known parameters according to step 2, reinforcement unit 3 design parameterss of step 3 and the sonic boom noise time domain waveform of step 4, use the transient vibration response equation of step 1, calculate the transient vibration response of soundproof window under the different reinforcement position, and select appropriate evaluation method that the result of calculation of step 5 is carried out evaluation analysis, thereby filter out best reinforcement position, obtain reinforcement unit 3 to the distance H on forms 1 base;
Concrete which kind of evaluation method of selecting does not limit, and can select according to actual needs.The present invention has provided two kinds and has been applicable to that forms transient vibration response is to the index EX of the influence degree of human body under the effect of evaluation sonic boom tAnd EX Op, EX wherein tThe value and the EX that surpass Hubbard tactile threshold value for vibration acceleration OpThe value that surpasses oppressive and vibration threshold value for acoustic pressure, wherein, Hubbard tactile threshold value and oppressive and vibration threshold value are usually used in thinking poorly of frequency vibration and low-frequency noise (as the sonic boom noise) to the influence of human body, and the two is respectively applied to weigh the human body constriction that the human body that is caused by vibration shakes sense and caused by sound wave.
Index EX tAnd EX OpComputational methods specific as follows:
EX t = 10 lg ( Σ f { [ R t ( f ) - T t ( f ) ] × z } EX t ref ) , wherez = 1 , when R t ( f ) - T t ( f ) > 0 0 , else
EX op = 10 lg ( Σ f { [ R op ( f ) - T op ( f ) ] × z } EX op ref ) , wherez = 1 , when R op ( f ) - T op ( f ) > 0 0 , else
Wherein, R t(f) be frequency spectrum side's value of forms vibration acceleration, R Op(f) be frequency spectrum side's value of forms transmission acoustic pressure, T t(f) be Hubbard tactile threshold value side value, T Op(f) be oppressive and vibration threshold value side value,
Figure BDA00003254158600103
Be EX tReference value,
Figure BDA00003254158600104
Be EX OpReference value.The EX that calculates thus tAnd EX OpBe based on human feeling's evaluation index, the more big expression sonic boom of their value noise is more serious to indoor resident's harm and interference, otherwise harm and interference are more little.
Such as, selected EX among the embodiment one OpIndex, final result of calculation as shown in Figure 4, the The selection result of optimum position, reinforcement unit is H=67.5cm, i.e. the H/ forms length of side=45%.This routine result of calculation also shows: the introducing of reinforcement unit can make EX OpNumerical value effectively reduced and EX OpThe size of value is relevant with the active position of reinforcement unit, that is to say that the ability of the anti-sonic boom of forms is relevant with the active position of reinforcement unit;
Step 6, at soundproof window removable reinforcement unit is set according to the design parameters of step 3.Such as, present embodiment one is provided with 1 of removable reinforcement unit (as shown in Figure 2) at forms 1;
Step 7, control module 4 calculate the distance H on reinforcement unit 3 to forms 1 base that obtains control are implemented in reinforcement unit 3 according to step 5, the approximate time that control module 4 takes place according to sonic boom, control reinforcement unit 3 upstream or downstream make soundproof window obtain maximum sonic boom isolation capacity to treat the aircraft process to being the position of H apart from forms 1 base before sonic boom takes place; All the other times are then controlled reinforcement unit 3 and keep collapsed state, namely control reinforcement unit 3 and move to going up or the lower limb position of forms 1.
According to above-mentioned 7 steps, the embodiment two of building forms shown in Figure 5 is designed:
Step 1, set up the transient vibration response equation of stiffened panel structure;
The known parameters of step 2, given soundproof window comprises forms size, window material and forms fringe conditions, and is as shown in the table:
Figure BDA00003254158600111
The design parameters of step 3, the used reinforcement of setting soundproof window unit comprises reinforcement unit number and sinew adding strip material, and is as shown in the table:
The approximate time that the outburst of the time domain waveform harmony of step 4, given sonic boom noise is given birth to, wherein, the time domain waveform of sonic boom as shown in Figure 6, the approximate time that sonic boom takes place is as shown in the table:
" sonic boom " timetable
06:31
13:34
21:07
Step 5, the soundproof window known parameters according to step 2, the reinforcement unit design parameters of step 3 and the sonic boom noise time domain waveform of step 4, use the transient vibration response equation of step 1, calculate the transient vibration response of soundproof window under the different reinforcement position, select appropriate evaluation method that the result of calculation of step 5 is carried out evaluation analysis, thereby filter out best reinforcement position, obtain the reinforcement unit to the distance H on forms base;
Present embodiment adopts EX simultaneously tAnd EX OpThese two indexs, result of calculation is as shown in the table.The result shows that the introducing of reinforcement unit can make EX tAnd EX OpNumerical value all effectively reduced, and numerical values recited is relevant with the active position of reinforcement unit, the The selection result of optimum position is H 1=27cm(is H 1/ Ly=30%) and H 2=54cm(is H 2/ Ly=60%).
Figure BDA00003254158600121
Step 6, at soundproof window removable reinforcement unit is set according to the design parameters of step 3.Such as, present embodiment two is provided with 2 of removable reinforcement unit (as shown in Figure 5) at forms.
Step 7, introducing control module are controlled the particular location of reinforcement unit, " best reinforcement position " (H1=27cm and the H2=54cm) that obtains according to step 5, relevant informations such as sonic boom timetable with step 4, control module will be controlled the reinforcement unit in advance and adjust to the optimum position to treat the aircraft process, and all the other times are then controlled the reinforcement unit and keep collapsed state.
The transient vibration response equation of the stiffened panel structure in the step 1 of the present invention is applicable to the slabbed construction under any fringe conditions, therefore the present invention is except can be used for instructing the anti-sonic boom design of building forms, be equally applicable to the slabbed construction of other any fringe conditionss, as door, wall, the isostructural anti-sonic boom design of floor.The above, it only is preferred embodiment of the present invention, be not that technical scope of the present invention is imposed any restrictions, so every foundation technical spirit of the present invention all still belongs in the scope of technical solution of the present invention any trickle modification, equivalent variations and modification that above embodiment does.

Claims (3)

1. anti-sonic boom soundproof window based on movable sinew adding strip, the control module that it is characterized in that comprising forms, frame, at least one group of reinforcement unit and be used for control reinforcement unit, wherein forms and frame are formed soundproof window, a pair of sinew adding strip constitutes one group of reinforcement unit, the axis that this paired sinew adding strip is held on the inside and outside surface of forms and this sinew adding strip is parallel to the base of forms all the time, and this control module does to be parallel to moving up and down of forms base according to result of calculation and parameter preset control reinforcement unit.
2. at the method for designing of the described a kind of anti-sonic boom soundproof window based on movable sinew adding strip of claim 1, it is characterized in that comprising the steps:
Step 1, set up the transient vibration response equation of stiffened panel structure, be used for the soundproof window that any fringe conditions of simulation and optional position reinforcement are handled:
Use formula
Figure FDA00003254158500011
Calculate the transient vibration response of soundproof window, involving vibrations displacement, vibration velocity, vibration acceleration and transmission acoustic pressure,
The derivation of above-mentioned formula is based on time-domain finite element method and time domain rayleigh integral method, wherein, U}, With
Figure FDA00003254158500013
Be global node displacement, node speed and node acceleration; (ξ t) is instantaneous transmission acoustic pressure to p; { p 0(t) } be instantaneous incident sound pressure (such as " sonic boom " noise); Incident sound pressure can be converted to equivalent nodal force as transition matrix; ü is the normal acceleration of stiffened panel each point, can be by the node acceleration
Figure FDA00003254158500015
Derive and obtain; ρ 0Be atmospheric density; S pBe the stiffened panel area; σ HBasic acoustic pressure function for half space; { M} is the total quality matrix of stiffened panel structure, by the element mass matrix { M of motherboard p} eEquivalent unit mass matrix { M with the reinforcement unit s} eForm; { K} is the integral rigidity matrix of stiffened panel structure, by the element stiffness matrix { K of motherboard p} e, the reinforcement unit equivalent unit stiffness matrix { K s} eWith the equivalent unit stiffness matrix { K that supports the border b} eForm, wherein:
{M p} eph∫∫{N} T{H p}{N}dxdy,
{M s} e=∫(σ s{N} T{N})dl se
{K p} e=∫∫{B p} T{D p}{B p}dxdy,
{K s} e=∫(k ts({N} T{N})+k rs({N y} T{N y}))dl se
{ K b } e = ∫ ( k tb { N w } T { N w } + k rb { ∂ N w ∂ n → b } T { ∂ N w ∂ n → b } ) d Γ b ,
Wherein, ρ pBe blank material density, h is motherboard thickness, { B pBe the motherboard strain matrix, { D pBe motherboard bending rigidity matrix, { H pBe the diagonal matrix function about h, { N} is the unit shape function, σ sBe the equivalent line density of being introduced by the reinforcement unit, l SeEquivalent unit axle for the reinforcement unit; k TsAnd k RsBe the parameter of reinforcement unit, represent lateral stiffness and the rotational stiffness of reinforcement unit respectively; k TbAnd k RbFor supporting the parameter on border, represent lateral stiffness and rotational stiffness that stiffened panel structure supports the border respectively,
Figure FDA00003254158500022
Boundary profile Γ for the stiffened panel unit bUnit normal vector, above-mentioned each amount can be derived by the parameters of stiffened panel structure and be obtained, and comprising: the number of motherboard shape, motherboard size, blank material, fringe conditions, sinew adding strip material, reinforcement unit, the active position of reinforcement unit;
k TbAnd k RbFor supporting the parameter on border, these parameters can be that constant also can be the function of position, can realize any simulation of boundary condition by changing these parameters;
k TsAnd k RsBe respectively lateral stiffness and the rotational stiffness of reinforcement unit, l SeBe the equivalent unit axle of reinforcement unit, by changing the parameter k of reinforcement unit Ts, k RsAnd l Se, can realize the simulation that the reinforcement of optional position, intensity is handled;
The known parameters of step 2, given soundproof window comprises forms size, window material and forms fringe conditions;
The design parameters of step 3, the used reinforcement of setting soundproof window unit comprises reinforcement unit number and sinew adding strip material, and the axis of setting sinew adding strip is parallel to the base of forms all the time;
The approximate time that the time domain waveform harmony outburst of step 4, given sonic boom noise is given birth to;
Step 5, the soundproof window known parameters according to step 2, reinforcement unit 3 design parameterss of step 3 and the sonic boom noise time domain waveform of step 4, use the transient vibration response equation of step 1, calculate the transient vibration response of soundproof window under the different reinforcement position, and the result of calculation of step 5 carried out evaluation analysis, filter out best reinforcement position, obtain the reinforcement unit to the distance H on forms base;
Step 6, at soundproof window removable reinforcement unit is set according to the design parameters of step 3;
Step 7, control module calculate the distance H on reinforcement unit to the forms base that obtains control are implemented in the reinforcement unit according to step 5, the approximate time that control module takes place according to sonic boom, control reinforcement unit upstream or downstream are to being the position of H apart from the forms base before sonic boom takes place, and all the other times are then controlled reinforcement cell moving going up or the lower limb position to forms.
3. the method for designing of a kind of anti-sonic boom soundproof window based on movable sinew adding strip according to claim 2, it is characterized in that: the result of calculation to step 5 adopts index EX tAnd EX OpCarry out evaluation analysis, wherein EX tThe value and the EX that surpass Hubbard tactile threshold value for vibration acceleration OpBe the value of acoustic pressure above oppressive and vibration threshold value, index EX tAnd EX OpComputational methods specific as follows:
EX t = 10 lg ( Σ f { [ R t ( f ) - T t ( f ) ] × z } EX t ref ) , wherez = 1 , when R t ( f ) - T t ( f ) > 0 0 , else
EX op = 10 lg ( Σ f { [ R op ( f ) - T op ( f ) ] × z } EX op ref ) , wherez = 1 , when R op ( f ) - T op ( f ) > 0 0 , else
Wherein, R t(f) be frequency spectrum side's value of forms vibration acceleration, R Op(f) be frequency spectrum side's value of forms transmission acoustic pressure, T t(f) be Hubbard tactile threshold value side value, T Op(f) be oppressive and vibration threshold value side value,
Figure FDA00003254158500035
Be EX tReference value,
Figure FDA00003254158500036
Be EX OpReference value, the EX that calculates thus tAnd EX OpBe based on human feeling's evaluation index, the more big expression sonic boom of their value noise is more serious to indoor resident's harm and interference, otherwise harm and interference are more little.
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KR200432714Y1 (en) * 2006-09-11 2006-12-07 옥명 Bottom sonic boom interception panel establishment structure for apartment houses
CN202164556U (en) * 2011-07-11 2012-03-14 中交物产集团有限公司 Transparent reinforced acoustic board
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US4073107A (en) * 1976-03-08 1978-02-14 "Applications de la Chimie, de l'Electricite et des Metaux" en abrege: "SADACEM" Curtain wall structure
KR200432714Y1 (en) * 2006-09-11 2006-12-07 옥명 Bottom sonic boom interception panel establishment structure for apartment houses
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