CN109635396A - A kind of vibroacoustics analysis method of multi-layer C FRP structure plate - Google Patents
A kind of vibroacoustics analysis method of multi-layer C FRP structure plate Download PDFInfo
- Publication number
- CN109635396A CN109635396A CN201811459332.0A CN201811459332A CN109635396A CN 109635396 A CN109635396 A CN 109635396A CN 201811459332 A CN201811459332 A CN 201811459332A CN 109635396 A CN109635396 A CN 109635396A
- Authority
- CN
- China
- Prior art keywords
- layer
- structure plate
- frp structure
- model
- vibroacoustics
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000004458 analytical method Methods 0.000 title claims abstract description 48
- 239000004918 carbon fiber reinforced polymer Substances 0.000 claims abstract description 26
- 239000000463 material Substances 0.000 claims abstract description 17
- 230000005540 biological transmission Effects 0.000 claims abstract description 12
- 230000005284 excitation Effects 0.000 claims description 6
- 238000013016 damping Methods 0.000 claims description 4
- 238000009826 distribution Methods 0.000 claims description 4
- 238000010008 shearing Methods 0.000 claims description 3
- 238000004088 simulation Methods 0.000 abstract description 5
- 238000004364 calculation method Methods 0.000 abstract description 2
- 238000012360 testing method Methods 0.000 description 8
- 238000000034 method Methods 0.000 description 6
- 238000009413 insulation Methods 0.000 description 5
- 238000005457 optimization Methods 0.000 description 4
- 239000002131 composite material Substances 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 238000010276 construction Methods 0.000 description 2
- 230000008878 coupling Effects 0.000 description 2
- 238000010168 coupling process Methods 0.000 description 2
- 238000005859 coupling reaction Methods 0.000 description 2
- 239000007769 metal material Substances 0.000 description 2
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 description 1
- 230000001133 acceleration Effects 0.000 description 1
- 229910052782 aluminium Inorganic materials 0.000 description 1
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 229910052799 carbon Inorganic materials 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 238000013480 data collection Methods 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 235000013399 edible fruits Nutrition 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 239000000835 fiber Substances 0.000 description 1
- 229920006253 high performance fiber Polymers 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000010998 test method Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- 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
The present invention relates to a kind of vibroacoustics analysis methods of multi-layer C FRP structure plate, comprising the following steps: S1, the material parameter and structural parameters for obtaining multi-layer C FRP structure plate establish finite element model；S2, the boundary condition and frequency range that finite element model is arranged, solve it with finite element solving device, obtain the mode of multi-layer C FRP structure plate；S3, the flat plate model for establishing size identical as the multi-layer C FRP structure plate simultaneously assign CFRP material properties to it, sound source chamber and receiving cavity are established respectively in the two sides of flat plate model, statistic energy analysis model is generated, is lost by the sound transmission that statistic energy analysis obtains multi-layer C FRP structure plate.Compared with prior art, present invention application HyperMesh software and VAOne software carry out model analysis and sound transmission loss analysis, and simulation calculation is accurately convenient, and engineering practical value is high.
Description
Technical field
The present invention relates to the fields that the model analysis of slab construction and acoustical behavior optimize, more particularly, to a kind of multilayer
The vibroacoustics analysis method of CFRP structure plate.
Background technique
The part composite material (carbon fiber reinforced plastic, CFRP) is enhanced using high-performance fiber
It is that current automobile realizes the most effective approach of lightweight instead of traditional metal materials.CFRP is as automotive light weight technology structural material generation
For metal material, requirement can satisfy completely in performance.Aluminum material is replaced to send out the sound insulation property of component using CRRP
Changing.To reduce internal car noise, needs to carry out analysis and optimization to the sound insulation property of plate and acoustics packet, lack at present to more
The full rate vibroacoustics analysis of layer structural slab, is unfavorable for the optimization of acoustics packet.
FInite Element (finite element method, FEM), sometimes referred to as finite element analysis (finite
Element analysis, FEA) be it is a kind of for seek partial differential equation (partial differential equations,
) and the numerical method of the approximate solution of integral equation PDE.Currently, finite element analysis is regarded in many different fields
The tool that can be applied at any time, in almost each level of light industry and heavy industry, finite element analysis can be used for accelerating
Design improves production capacity and efficiency and optimization properties of product.Challenging finite element analysis task first is that emulation
The acoustic response (such as noise) of structure by external drive.The conventional method for solving structural acoustic response problem is related to shaking
Equation is solved in dynamic and acoustic analysis.
Summary of the invention
It is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of multi-layer C FRP structures
The vibroacoustics analysis method of plate.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of vibroacoustics analysis method of multi-layer C FRP structure plate, comprising the following steps:
S1, the material parameter and structural parameters for obtaining multi-layer C FRP structure plate, establish finite element model；
S2, the boundary condition and frequency range that finite element model is arranged, solve it with finite element solving device, obtain
The mode of multi-layer C FRP structure plate；
S3, the flat plate model for establishing size identical as the multi-layer C FRP structure plate simultaneously assign CFRP material category to it
Property, sound source chamber and receiving cavity are established respectively in the two sides of flat plate model, generates statistic energy analysis model, pass through statistics energy point
Analysis obtains the sound transmission loss of multi-layer C FRP structure plate.
Preferably, the boundary condition of the finite element model is the short side side six-freedom degree of multi-layer C FRP structure plate
Constraint.
Preferably, the frequency range of the finite element model is 0~200Hz.
Preferably, the frequency range that sound source chamber is arranged in the step S3 is 100~10000Hz.
Preferably, the material parameter of the multi-layer C FRP structure plate and structural parameters include: longitudinal modulus of elasticity, transverse direction
Elasticity modulus, density, Poisson's ratio, modulus of shearing, transverse shear modulus, longitudinal shear modulus, longitudinal thermal expansion coefficient, laterally heat
The thickness and angular distribution of every layer of the coefficient of expansion and CFRP plate.
Preferably, the intracavitary setting sound source excitation of the sound source, the sound source are actuated to the constraint acoustic pressure of 1Pa.
Preferably, the flat plate model is connect with the sound source Cavity surface.
Preferably, the damping factor of the sound source chamber and receiving cavity is all set as 1%.
Compared with prior art, the present invention applies HyperMesh software and VAOne software realization double-layer structure panel respectively
Finite element modeling and statistics energy modeling, realize double-layer structure panel in low-frequency model analysis and in high-frequency sound transmission
Loss analysis, to realize the vibroacoustics analysis in double-layer structure panel whole frequency range, simulation calculation is accurately convenient, passes through
Analysis result is conducive to the global optimization to plate acoustics packet, and engineering practical value is high.
Detailed description of the invention
Fig. 1 is the flow chart of the method for the present invention；
Fig. 2 is the schematic diagram that boundary condition is arranged in CFRP plate finite element model in embodiment；
Fig. 3 is statistic energy analysis model in embodiment；
Fig. 4 is the sound transmission frequency of loss curve being calculated in embodiment；
Fig. 5 is sound insulation test schematic diagram in embodiment；
Fig. 6 is the comparison diagram of sound insulation test and simulation result.
It is marked in figure: 11, sound source chamber, 12, sound source excitation, 13, face connection, 14, flat plate model, 15, receiving cavity.
Specific embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.The present embodiment is with technical solution of the present invention
Premised on implemented, the detailed implementation method and specific operation process are given, but protection scope of the present invention is not limited to
Following embodiments.
Embodiment
As shown in Figure 1, the application proposes a kind of vibroacoustics analysis method of multi-layer C FRP structure plate, including following step
It is rapid:
S1, the material parameter and structural parameters for obtaining multilayer high-performance carbon fibre reinforced composite structure plate are established
Finite element model；
S2, the boundary condition and frequency range that finite element model is arranged, solve it with finite element solving device, obtain
The mode of multi-layer C FRP structure plate；
S3, foundation size identical as multi-layer C FRP structure plate flat plate model and CFRP material properties are assigned to it,
Sound source chamber and receiving cavity are established in the two sides of flat plate model respectively, generate statistic energy analysis model, are obtained by statistic energy analysis
Sound transmission to multi-layer C FRP structure plate is lost.
In the present embodiment, model analysis and sound transmission loss analysis are carried out to the CFRP plate of one piece of 250x100mm.
(1), finite element modeling is carried out to CFRP plate
The material parameter and structural parameters of CFRP plate are obtained first.It specifically includes: longitudinal modulus of elasticity, transverse elasticity mould
Amount, density, Poisson's ratio, modulus of shearing, transverse shear modulus, longitudinal shear modulus, longitudinal thermal expansion coefficient, laterally thermal expansion system
Several and every layer of CFRP plate thickness and angular distribution.In the present embodiment, the material parameter and structural parameters of CFRP plate
It is shown in Table 1, table 2.
1 CFRP material properties of table
The distribution of 2 CFRP plate thickness of table
Then flat plate model is established in HyperMesh software, having a size of 250x100mm, above-mentioned material attribute is assigned
The flat plate model.It is seven layers of composite construction that the plate, which is arranged, inputs the thickness and angle of above-mentioned seven-layer structure.
Then size is selected according to the basic principle and experiential basis of FEM meshing to the plate grid division
For the square net of 10mm.
It is completed here, the finite element modeling of the present embodiment works.
(2), to carry out model analysis, boundary condition and frequency range are set.It is to be somebody's turn to do that boundary condition is arranged in the present embodiment
The constraint of plate short side side six-freedom degree, as shown in Figure 2；Frequency range is set as 0~200Hz.
Then, it is solved using the Optistruct solver that HyperMesh is carried, each rank of the plate can be obtained
Modal frequency and the vibration shape.In the present embodiment, obtain the plate first three rank modal frequency be respectively 19.5Hz, 67.7Hz,
122.0Hz。
In order to verify CFRP finite element model accuracy, modal test is carried out to CFRP plate.One end fixture of plate is consolidated
It is fixed, it attaches acceleration transducer if taking and doing measurement point in response and connects data collection system；It is given with vibration excitor each
Excitation point excitation, measures the response of response point and is handled data result and analyzed, can be obtained the mode knot of CFRP plate
Fruit.The first step mode frequency that test measures CFRP plate is 19.75Hz, and the error with simulation result 19.49Hz is 1.3%, tool
There is preferable consistency.
(3), followed by the sound transmission loss analysis of the hardened structure.
Firstly, establish the flat plate model 14 of 250x100mm in VA One software, and by the material parameter and structure of CFRP
Parameter assigns the plate.
Then, statistic energy analysis (statistical energy analysis, SEA) model is established: statistics energy point
Analysing model includes sound source chamber, receiving cavity, plate and connection.Connection comprising between the operatic tunes and the operatic tunes connection and the operatic tunes with
Connection between plate.The frequency range of the transmitting frequency of loss curve of plate is set as 100~10000Hz.
In the present embodiment, statistic energy analysis model is as shown in figure 3, face connection 13 contains sound source chamber 11 and sound source chamber
11 coupling, the coupling of sound source chamber 11 and plate model 14.The damping factor of sound source chamber 11 is 1%, volume 1000m3.Sound source
Excitation 12 is the constraint acoustic pressure of 1Pa.The damping factor of receiving cavity 15 is 1%, volume 1000m3。
The sound transmission frequency of loss of plate is obtained by statistic energy analysis, as shown in table 3 and fig. 4.
The sound transmission frequency of loss that table 3 is calculated
| Frequency/Hz | Transmit loss/dB |
| 100 | 6.51 |
| 125 | 7.74 |
| 160 | 8.72 |
| 200 | 9.85 |
| 250 | 10.95 |
| 315 | 12.01 |
| 400 | 13.00 |
| 500 | 14.45 |
| 630 | 16.00 |
| 800 | 17.57 |
| 1000 | 18.99 |
| 1250 | 20.39 |
| 1600 | 21.93 |
| 2000 | 23.27 |
| 2500 | 24.44 |
| 3150 | 25.34 |
| 4000 | 25.64 |
| 5000 | 24.35 |
| 6300 | 21.52 |
| 8000 | 20.31 |
| 10000 | 21.77 |
In order to verify the validity of model, sound insulation test is carried out, using reverberation chamber-anechoic room method of testing.Reverberation chamber with disappear
Sound chamber is connected and builds, and test specimen is mounted on the window between reverberation chamber and anechoic room, as shown in Figure 5.Test measures this
The sound transmission loss of CFRP plate is as shown in Figure 6.As can be seen that simulation curve and test, which measure curve, has high consistency,
The two difference is less than 0.5dB, demonstrates the validity of the CFRP plate statistic energy analysis model of foundation.
Claims (8)
1. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate, which comprises the following steps:
S1, the material parameter and structural parameters for obtaining multi-layer C FRP structure plate, establish finite element model；
S2, the boundary condition and frequency range that finite element model is arranged, solve it with finite element solving device, obtain multilayer
The mode of CFRP structure plate；
S3, the flat plate model for establishing size identical as the multi-layer C FRP structure plate simultaneously assign CFRP material properties to it,
Sound source chamber and receiving cavity are established in the two sides of flat plate model respectively, generate statistic energy analysis model, are obtained by statistic energy analysis
Sound transmission to multi-layer C FRP structure plate is lost.
2. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
The boundary condition of finite element model is stated as the constraint of the short side side six-freedom degree of multi-layer C FRP structure plate.
3. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
The frequency range for stating finite element model is 0~200Hz.
4. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
Stating the frequency range that sound source chamber is arranged in step S3 is 100~10000Hz.
5. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
The material parameter and structural parameters for stating multi-layer C FRP structure plate include: longitudinal modulus of elasticity, transverse modulus of elasticity, density, pool
Loose ratio, modulus of shearing, transverse shear modulus, longitudinal shear modulus, longitudinal thermal expansion coefficient, lateral thermal expansion coefficient and CFRP
The thickness and angular distribution of every layer of plate.
6. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
The intracavitary setting sound source excitation of sound source is stated, the sound source is actuated to the constraint acoustic pressure of 1Pa.
7. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
Flat plate model is stated to connect with the sound source Cavity surface.
8. a kind of vibroacoustics analysis method of multi-layer C FRP structure plate according to claim 1, which is characterized in that institute
The damping factor for stating sound source chamber and receiving cavity is all set as 1%.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811459332.0A CN109635396A (en) | 2018-11-30 | 2018-11-30 | A kind of vibroacoustics analysis method of multi-layer C FRP structure plate |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811459332.0A CN109635396A (en) | 2018-11-30 | 2018-11-30 | A kind of vibroacoustics analysis method of multi-layer C FRP structure plate |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN109635396A true CN109635396A (en) | 2019-04-16 |
Family
ID=66070609
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201811459332.0A Pending CN109635396A (en) | 2018-11-30 | 2018-11-30 | A kind of vibroacoustics analysis method of multi-layer C FRP structure plate |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109635396A (en) |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110377940A (en) * | 2019-06-10 | 2019-10-25 | 大连理工大学 | A method of obtaining CFRP workpiece milling vibration amplitude |
| CN111177958A (en) * | 2019-12-18 | 2020-05-19 | 西北工业大学 | Microperforated panel acoustic liner acoustic performance numerical analysis method |
| CN112765907A (en) * | 2021-01-12 | 2021-05-07 | 同济大学 | Optimization method and system for vehicle-mounted hydrogen storage bottle rapid filling scheme |
| CN112818539A (en) * | 2021-01-29 | 2021-05-18 | 中车青岛四方机车车辆股份有限公司 | Sound insulation design method and sound insulation design system for window |
| CN113378291A (en) * | 2021-05-13 | 2021-09-10 | 北京宇航系统工程研究所 | Liquid path natural frequency simulation method based on acoustic unit |
| CN113553734A (en) * | 2020-04-24 | 2021-10-26 | 比亚迪股份有限公司 | VAONE-based modeling method, system, device and medium |
| CN113673135A (en) * | 2021-09-02 | 2021-11-19 | 河南工业大学 | Local resonance type acoustic metamaterial band gap adjusting and controlling method and system and storable medium |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103279609A (en) * | 2013-05-29 | 2013-09-04 | 上海飞机制造有限公司 | Microcosmic simulated analysis method for ultrasound attenuation coefficient of composite material with holes |
| CN106250603A (en) * | 2016-07-27 | 2016-12-21 | 同济大学 | A kind of method calculating the car door subsystem transmission loss equipped with sealing strip |
| CN108829914A (en) * | 2018-04-23 | 2018-11-16 | 同济大学 | A kind of structure of FRP structural member and process integration design method |
-
2018
- 2018-11-30 CN CN201811459332.0A patent/CN109635396A/en active Pending
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103279609A (en) * | 2013-05-29 | 2013-09-04 | 上海飞机制造有限公司 | Microcosmic simulated analysis method for ultrasound attenuation coefficient of composite material with holes |
| CN106250603A (en) * | 2016-07-27 | 2016-12-21 | 同济大学 | A kind of method calculating the car door subsystem transmission loss equipped with sealing strip |
| CN108829914A (en) * | 2018-04-23 | 2018-11-16 | 同济大学 | A kind of structure of FRP structural member and process integration design method |
Non-Patent Citations (2)
| Title |
|---|
| 陈沛: "轻量化地铁列车蜂窝地板结构声学性能分析与优化", 《中国优秀硕士学位论文全文数据库信息科技辑》 * |
| 韩敬永: "复合材料夹层板结构热环境下声振特性研究", 《中国优秀博士学位论文全文数据库信息科技辑》 * |
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110377940A (en) * | 2019-06-10 | 2019-10-25 | 大连理工大学 | A method of obtaining CFRP workpiece milling vibration amplitude |
| CN110377940B (en) * | 2019-06-10 | 2020-11-13 | 大连理工大学 | Method for obtaining milling vibration amplitude of CFRP workpiece |
| CN111177958A (en) * | 2019-12-18 | 2020-05-19 | 西北工业大学 | Microperforated panel acoustic liner acoustic performance numerical analysis method |
| CN113553734A (en) * | 2020-04-24 | 2021-10-26 | 比亚迪股份有限公司 | VAONE-based modeling method, system, device and medium |
| CN113553734B (en) * | 2020-04-24 | 2023-11-14 | 比亚迪股份有限公司 | Modeling method, system, equipment and medium based on VAONE |
| CN112765907A (en) * | 2021-01-12 | 2021-05-07 | 同济大学 | Optimization method and system for vehicle-mounted hydrogen storage bottle rapid filling scheme |
| CN112818539A (en) * | 2021-01-29 | 2021-05-18 | 中车青岛四方机车车辆股份有限公司 | Sound insulation design method and sound insulation design system for window |
| CN112818539B (en) * | 2021-01-29 | 2022-11-15 | 中车青岛四方机车车辆股份有限公司 | Sound insulation design method and sound insulation design system for window |
| CN113378291A (en) * | 2021-05-13 | 2021-09-10 | 北京宇航系统工程研究所 | Liquid path natural frequency simulation method based on acoustic unit |
| CN113378291B (en) * | 2021-05-13 | 2023-07-14 | 北京宇航系统工程研究所 | Liquid path natural frequency simulation method based on acoustic unit |
| CN113673135A (en) * | 2021-09-02 | 2021-11-19 | 河南工业大学 | Local resonance type acoustic metamaterial band gap adjusting and controlling method and system and storable medium |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109635396A (en) | A kind of vibroacoustics analysis method of multi-layer C FRP structure plate | |
| Gao et al. | Hybrid composite meta-porous structure for improving and broadening sound absorption | |
| CN105427853A (en) | Broadband micro-perforated board sound absorber, absorber performance prediction method and absorber structure design method | |
| Zhang et al. | Low-frequency broadband absorption of underwater composite anechoic coating with periodic subwavelength arrays of shunted piezoelectric patches | |
| Li et al. | Local resonance–Helmholtz lattices with simultaneous solid-borne elastic waves and air-borne sound waves attenuation performance | |
| CN109508490B (en) | Acoustic model equivalent method for hollow aluminum profile | |
| Li et al. | Sound insulation performance of double membrane-type acoustic metamaterials combined with a Helmholtz resonator | |
| Bolton et al. | Elastic porous materials for sound absorption and transmission control | |
| Qian et al. | Numerical study of the acoustic properties of micro-perforated panels with tapered hole | |
| Zheng et al. | A study on acoustic characteristics of automotive magnesium composite dash panel | |
| Shojaeefard et al. | A study on acoustic behavior of poroelastic media bonded between laminated composite panels | |
| CN112951193A (en) | Method for designing sound absorber of parallel connection unequal-depth back cavity micro-perforated plate | |
| Zhang et al. | Low-frequency broadband sound transmission loss of infinite orthogonally rib-stiffened sandwich structure with periodic subwavelength arrays of shunted piezoelectric patches | |
| Shojaeifard et al. | Power transmission through double-walled laminated composite panels considering porous layer-air gap insulation | |
| CN112541276B (en) | Dynamic response prediction equivalent method based on scaling model | |
| CN106872574A (en) | A kind of coupling loss factor experimental technique of bullet train aluminium section bar and the operatic tunes | |
| Yan et al. | Sound transmission loss evaluation of the composite cabin panel based on the equivalent method and hybrid FE-BEM | |
| Fu et al. | Study and analysis on sound absorbing and noise reducing performance of timber construction wall based on acoustic spiral matasurface | |
| Zhao et al. | Research on sound absorption characteristics of Alberich anechoic coatings in debonding states | |
| Jessop et al. | Reduction of low frequency noise transmitted through a single-pane window | |
| Sun et al. | An all-composite sandwich structure with PMI foam-filled for adjustable vibration suppression and improved mechanical properties | |
| Zheng et al. | A numerical study on the sound transmission loss of HST aluminum extruded panel | |
| Baro et al. | Numerical and experimental assessment of the transmission loss of honeycomb sandwich panels | |
| Santoni et al. | On the use of the transfer matrix method to evaluate sound insulation in complex building partitions | |
| Asakura et al. | Finite-difference time-domain analysis of structure-borne sound using a plate model |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20190416 |