CN110414096A - A kind of true road spectrum playback system and method based on Matlab/Adams associative simulation - Google Patents
A kind of true road spectrum playback system and method based on Matlab/Adams associative simulation Download PDFInfo
- Publication number
- CN110414096A CN110414096A CN201910627039.9A CN201910627039A CN110414096A CN 110414096 A CN110414096 A CN 110414096A CN 201910627039 A CN201910627039 A CN 201910627039A CN 110414096 A CN110414096 A CN 110414096A
- Authority
- CN
- China
- Prior art keywords
- vehicle
- signal
- spectrum
- model
- components
- 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.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M17/00—Testing of vehicles
- G01M17/007—Wheeled or endless-tracked vehicles
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T10/00—Road transport of goods or passengers
- Y02T10/10—Internal combustion engine [ICE] based vehicles
- Y02T10/40—Engine management systems
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
The invention belongs to Vehicle system dynamics to emulate field, especially a kind of true road spectrum playback system and method based on Matlab/Adams associative simulation.System includes that the vehicle based on Nastran/components finite element simulation module, the vehicle based on ADAMS/View/components system dynamics emulation module and the true road spectrum of vehicle/components based on MATLAB/Simulink reproduce associative simulation module；Wherein associative simulation module includes the acquisition of road test road spectrum and signal processing submodule, Estimation of Frequency Response Function submodule and error analysis and improvement submodule.The specific steps of method include that vehicle/components system Coupled Rigid-flexible modeling and simulation analysis, load spectrum acquisition and pretreatment, subchannel Estimation of Frequency Response Function and driving signal amendment and response signal reproduce.The present invention has the characteristics that true road spectrum playback accuracy and high-efficient, the acquisition of actual road test loading spectrum is required low, and adaptability is wider, and the true road spectrum of reproduction can provide more reliable foundation for vehicle/components performance evaluation and optimization design.
Description
Technical field
It is especially a kind of imitative based on Matlab/Adams joint the invention belongs to Vehicle system dynamics simulation technical field
Genuine true road spectrum playback system and method.
Background technique
Vehicle system dynamics emulation technology is an indispensable technology in Automobile Design manufacture, especially in automobile
Control stability analysis, analysis of fatigue and NVH analysis field can significantly shorten product development cycle, reduce development cost, be vapour
Bassinet structure improves and optimization design provides reliable reference.
But at present in vehicle virtual simulation analysis, the load signal as initial input condition is often vehicle in void
The loading spectrum of simulated extraction under quasi- road environment, precision is lower, and directly by actual road test extract load signal presence at
This height, loading spectrum extract the problems such as position and type are limited.By reproducing real roads loading spectrum in simulated environment, made with this
For vehicle system dynamics simulation analysis driving signal, more acurrate and efficient simulation vehicle/components kinematics and can move
Mechanical characteristic.
After searching and discovering the prior art, 105092261 B of Chinese patent literature CN, publication date are 2018
13 days 03 month, a kind of road load test method and system are disclosed, mainly by virtual iterative technique, is obtained for being imitated
Genuine road load data.But this method and system need to rely on dedicated virtual iterative software, and software inhouse virtually changes
It for algorithm is carrying out that different model features can not be adapted to when load iteration reproduces, is being easy to appear and does not restrain and the reproduction of part road spectrum
The low problem of precision.
Summary of the invention
Technical problem solved by the invention is to provide a kind of true road spectrum based on Matlab/Adams associative simulation
Playback system and method.
The technical solution for realizing the aim of the invention is as follows:
A kind of true road spectrum playback system based on Matlab/Adams associative simulation, comprising:
Vehicle based on Nastran/components finite element model: it is limited that vehicle/components are established in Nastran software
Meta-model exports vehicle/components elastomeric model in a manner of output modalities neutral file；
Vehicle based on ADAMS/View/components system dynamics emulation module: established in ADAMS/View vehicle/
Components Rigid-body System model, it is flexible body that modal neutral file, which is imported replacement rigid body file in Rigid-body System model, is established
Coupling System of Flexible Structures And Rigid Body Dynamics Simulation Model；
The true road spectrum of vehicle/components based on MATLAB/Simulink reproduces associative simulation module: including road test road
Spectrum acquisition and signal processing submodule, Estimation of Frequency Response Function submodule and error analysis and improvement submodule, pass through road test
Road spectrum acquisition is realized the acquisition of expected response signal with signal processing submodule, Estimation of Frequency Response Function submodule and is divided logical
The foundation of road formula frequency response function calculates initial driving letter in conjunction with subchannel formula frequency response function and expected response signal
Number, initial driving signal is used for excitation system Dynamics Simulation Model, extracts simulated response signal, by simulated response signal with
Expected response signal is compared, corrects, and extracting final driving signal is that true road spectrum reproduces pumping signal.
A method of true road is reproduced using above-mentioned system and is composed, and is included the following steps:
Step (1): vehicle/components system Coupled Rigid-flexible modeling and simulation analysis；
Step (2): load spectrum acquisition and pretreatment: expected response signal is obtained；
Step (3): it is logical subchannel Estimation of Frequency Response Function: to establish dividing for characterization Rigid-flexible Coupling Model dynamic response characteristic
Road formula frequency response function；
Step (4): driving signal amendment and response signal reproduce: in conjunction with subchannel formula frequency response function and expected response
Signal U (t) calculates initial driving signal D (t), and initial driving signal D (t) is used for excitation system Dynamics Simulation Model, is mentioned
Simulated response signal Y (t) is taken, is made the difference simulated response signal Y (t) and expected response signal U (t) to obtain deviation signal R
(t), carry out gauge signal playback accuracy by index of weighted error, it, will be inclined if the weighted error of deviation signal R (t) is more than 5%
Difference signal R (t) is used as correction amount d (t) that driving signal is added after converting by frequency response function, again with revised driving signal
Excitation system Dynamics Simulation Model, repeat the above steps until simulated response signal Y (t) meet playback accuracy, extract final
Driving signal is that true road spectrum reproduces pumping signal.
Further, the step (1) is specially that vehicle/components finite element model is established in Nastran software, defeated
Modal neutral file out exports vehicle/components elastomeric model；Vehicle/components rigid system is established in ADAMS/View
System model, it is flexible body that modal neutral file, which is imported in Rigid-body System model, and replaces rigid body file, establishes Coupling System of Flexible Structures And Rigid Body
Dynamics Simulation Model.
Further, the vehicle/components elastomeric model is to be carried out in finite element software using modal synthesis method
Modal calculation forms the modal neutral file with structure lower mode coordinate come the kinetic characteristics that characterize that structure is complicated.
Further, the elastomeric model is attached setting after replacing rigid model in importing ADAMS/View,
Energized position and mode, definition response position and type, debugging is arranged in control proving ground test scheme in vehicle/model of parts
The quiet dynamic balancing of model, establishes Coupling System of Flexible Structures And Rigid Body Dynamics Simulation Model.
Further, the step (2) specifically: determine loading spectrum acquisition scheme, vehicle when extracting vehicle road test/
Components loading spectrum pre-processes the original load spectrum of acquisition, obtains expected response signal.
Further, vehicle/components loading spectrum mode is by vehicle body sampled point when extracting vehicle road test
It pastes acceleration sensing meter and foil gauge extracts original load spectrum；It is frequency spectrum that the original load spectrum of described pair of acquisition, which carries out pretreatment,
It analyzes, go singular value, filter, goes null offset, removes trend term and resampling.
Further, the step (3) specifically: white pink noise signal is generated in Estimation of Frequency Response Function module
Drive system Dynamics Simulation Model extracts measuring point response signal, each excitation-sound is analyzed in Estimation of Frequency Response Function module
The Frequency Response in channel is answered, the subchannel formula frequency response function of characterization Rigid-flexible Coupling Model dynamic response characteristic is established.
Further, the white powder red noise driving signal is generated using Shape method, and white powder red noise driving letter
Number energy and bandwidth match with road test load spectrum signal；The subchannel formula frequency response function is swashed by the way that analysis is different
- the frequency domain character of response channel is encouraged, the frequency response function in each channel is established respectively using nonparametric identification method, to will be
The whole frequency response function of system is divided into subchannel formula frequency response function.
Further, true road spectrum reproduces pumping signal as vehicle/components system dynamics simulation analysis
Pumping signal, to reproduce kinematics and dynamics of any position under true road spectrum incentive in vehicle/components system
Characteristic.
Compared with prior art, the present invention its remarkable advantage is as follows:
The present invention is based on MATLAB/Simulink and ADAMS/View to construct associative simulation model, in conjunction with the road test of real vehicle road
Collected loading spectrum is tested, true road spectrum is realized under virtual simulation environment and is reproduced, this method has general applicability and can
Tonality；Meanwhile by establishing subchannel formula frequency response function, road spectrum playback accuracy and efficiency are improved.
Detailed description of the invention
Fig. 1 present invention is true, and playback system schematic diagram is composed on road.
Fig. 2 is the driver's cabin actual road test acceleration responsive loading spectrum of the embodiment of the present invention；Before wherein figure (a) is processing,
Scheming (b) is after handling.
Fig. 3 is the subchannel Estimation of Frequency Response Function process of the embodiment of the present invention.
Specific embodiment
Elaborate below with reference to the embodiment of the present invention, the present embodiment under the premise of the technical scheme of the present invention into
Row is implemented, and the detailed implementation method and specific operation process are given, but protection scope of the present invention is not limited to following realities
Apply example.
Playback system and method are composed as shown in Figure 1 for a kind of true road based on Matlab/Adams associative simulation of the present invention
The block diagram of embodiment, comprising: the vehicle based on Nastran/components finite-element module, vehicle/zero based on ADAMS/View
Component system dynamics simulation module and the true road spectrum of vehicle/components based on MATLAB/Simulink reproduce associative simulation
Module；Wherein associative simulation module includes the acquisition of road test road spectrum and signal processing submodule, Estimation of Frequency Response Function submodule
Block and error analysis and improvement submodule.Wherein, associative simulation is under MATLAB/Simulink environment to external call
What ADAMS/View software carried out, it come excitation system Dynamics Simulation Model and then is mentioned by associative simulation module output drive signal
Take response signal.
True road spectrum reproducting method specifically includes the following steps:
A) vehicle/components system Coupled Rigid-flexible modeling and simulation analysis, concrete mode are as follows: vehicle is established in Nastran
Frame finite element model, carries out modal calculation using modal synthesis method, and 15 rank Mode Shapes before vehicle frame and modal coordinate are exported shape
At modal neutral file, vehicle frame elastomeric model is formed；It establishes in ADAMS/View and subtracts comprising cab assembly, rubber mounting
Vehicle frame elastomeric model is imported and replaces rigid body vehicle frame in ADAMS by the multi rigid body system dynamics model of vibrating system, frame system and frame
Model is attached by way of defining kinematic pair at Model coupling；Further by establishing SPRING below vehicle frame
The secondary mode of driving establishes 7 pumping signals, and frame movement freedom degree is made to be consistent with Real-road Driving Cycle, at the same in driver's cabin and
7 response signal sampled points are defined at the suspension that vehicle frame is connected, and extract acceleration signal；The quiet dynamic balancing of debugging model, thus
Establish commercial-vehicle cab Coupling System of Flexible Structures And Rigid Body Dynamics Simulation Model；
B) load spectrum acquisition and pretreatment, concrete mode are as follows: be connected in the commercial-vehicle cab with vehicle frame outstanding
Place's 7 acceleration transducers of arrangement are set, determine that pebble path in test site, fish-scale pit road, the road Cuo Ban, simulation three-level country highway are special
Levying the typical road surface such as strenuous test road is actual road test road surface, records the original acceleration loading spectrum during vehicle test；It is right
The original load spectrum of acquisition is pre-processed, and is included mainly spectrum analysis, is gone singular value, filters, go null offset, remove trend term
And resampling, expected response signal is obtained, Fig. 2 compares pretreatment front and back signal difference by taking response signal at left back suspension as an example；
C) subchannel Estimation of Frequency Response Function, concrete mode are as follows: as shown in figure 3, in Estimation of Frequency Response Function module
Middle to generate white powder red noise driving signal using Shape method, the white powder red noise driving signal uses displacement signal, signal
Edge frequency, cutoff frequency and bandwidth are consistent with road test loading spectrum signal characteristic, are driven using the excitation of white powder red noise driving signal
Room simulation model is sailed, measuring point acceleration responsive signal is extracted；It is logical that each Challenge-response is analyzed in Estimation of Frequency Response Function module
The Frequency Response in road establishes the subchannel formula frequency response function H of characterization Rigid-flexible Coupling Model dynamic response characteristic, subchannel formula
Frequency response function H indicates in the matrix form in frequency response function estimation module, specifically:
Wherein HijThe frequency response function for referring to channel between i-th of response point-j-th motivates point, passes through and analyzes each single channel
The structure order and frequency domain characteristic of system, are respectively adopted H1、H2、H3And H4Method is to different channel frequency response function HijUnbiased estimate
Meter, and then construct subchannel formula frequency response function H (j ω).
Driving signal amendment and response signal reproduce, concrete mode are as follows: in conjunction with subchannel formula frequency response function and expectation
Response signal U (t) calculates initial driving signal D (t), and initial driving signal D (t) is used for excitation system dynamics simulation mould
Type extracts simulated response signal Y (t), is made the difference simulated response signal Y (t) and expected response signal U (t) to obtain deviation
Signal R (t) carrys out gauge signal playback accuracy by index of weighted error, if the weighted error of deviation signal R (t) is more than 5%,
Driving signal is added as correction amount d (t) after then deviation signal R (t) is converted by frequency response function, is believed with revised driving
Number again excitation system Dynamics Simulation Model repeats the above steps until simulated response signal Y (t) meets playback accuracy, extracts
Final driving signal is that true road spectrum reproduces pumping signal.It can be used as vehicle/components system dynamics simulation analysis
Pumping signal, to reproduce kinematics and dynamics of any position under true road spectrum incentive in vehicle/components system
Characteristic.
Claims (10)
1. playback system is composed on a kind of true road based on Matlab/Adams associative simulation characterized by comprising
Vehicle based on Nastran/components finite element model: vehicle/components finite element mould is established in Nastran software
Type exports vehicle/components elastomeric model in a manner of output modalities neutral file；
Vehicle based on ADAMS/View/components system dynamics emulation module: vehicle/zero is established in ADAMS/View
Part Rigid-body System model, it is flexible body that modal neutral file, which is imported replacement rigid body file in Rigid-body System model, is established hard and soft
Coupled system dynamics simulation model；
The true road spectrum of vehicle/components based on MATLAB/Simulink reproduces associative simulation module: adopting including road test road spectrum
Collection and signal processing submodule, Estimation of Frequency Response Function submodule and error analysis and improvement submodule, pass through road test road
The acquisition and subchannel formula of expected response signal are realized in spectrum acquisition with signal processing submodule, Estimation of Frequency Response Function submodule
The foundation of frequency response function calculates initial driving signal in conjunction with subchannel formula frequency response function and expected response signal, will
Initial driving signal is used for excitation system Dynamics Simulation Model, extracts simulated response signal, by simulated response signal and expectation
Response signal is compared, corrects, and extracting final driving signal is that true road spectrum reproduces pumping signal.
2. a kind of method for reproducing true road spectrum using system described in claim 1, which comprises the steps of:
Step (1): vehicle/components system Coupled Rigid-flexible modeling and simulation analysis；
Step (2): load spectrum acquisition and pretreatment: expected response signal is obtained；
Step (3): subchannel Estimation of Frequency Response Function: the subchannel formula of characterization Rigid-flexible Coupling Model dynamic response characteristic is established
Frequency response function；
Step (4): driving signal amendment and response signal reproduce: in conjunction with subchannel formula frequency response function and expected response signal
U (t) calculates initial driving signal D (t), and initial driving signal D (t) is used for excitation system Dynamics Simulation Model, extracts imitative
True response signal Y (t), is made the difference simulated response signal Y (t) and expected response signal U (t) to obtain deviation signal R (t),
Carry out gauge signal playback accuracy by index of weighted error, if the weighted error of deviation signal R (t) is more than 5%, deviation is believed
After converting by frequency response function as correction amount d (t) driving signal is added in number R (t), is motivated again with revised driving signal
Unite Dynamics Simulation Model, repeat the above steps until simulated response signal Y (t) meet playback accuracy, extract final driving
Signal is that true road spectrum reproduces pumping signal.
3. according to the method described in claim 2, it is characterized in that, the step (1) is specially to establish in Nastran software
Vehicle/components finite element model, output modalities neutral file export vehicle/components elastomeric model；In ADAMS/View
In establish vehicle/components Rigid-body System model, by modal neutral file import Rigid-body System model in replacement rigid body file be
Flexible body establishes Coupling System of Flexible Structures And Rigid Body Dynamics Simulation Model.
4. according to the method described in claim 3, it is characterized in that, the vehicle/components elastomeric model is in finite element
Modal calculation is carried out using modal synthesis method in software, is formed special come the dynamics that characterizes that structure is complicated with structure lower mode coordinate
The modal neutral file of property.
5. according to the method described in claim 3, it is characterized in that, the elastomeric model is replaced in importing ADAMS/View
Setting is attached after rigid model, energized position and mode is arranged in control proving ground test scheme in vehicle/model of parts,
Coupling System of Flexible Structures And Rigid Body Dynamics Simulation Model is established in definition response position and type, the quiet dynamic balancing of debugging model.
6. according to the method described in claim 2, it is characterized in that, the step (2) specifically: determine loading spectrum acquisition side
Case, vehicle/components loading spectrum when extracting vehicle road test, pre-processes the original load spectrum of acquisition, obtains expectation
Response signal.
7. according to the method described in claim 6, it is characterized in that, extract vehicle road test when vehicle/components loading spectrum
Mode be to extract original load spectrum by pasting acceleration sensing meter and foil gauge in vehicle body sampled point；The original of described pair of acquisition
Beginning loading spectrum carries out pretreatment and is spectrum analysis, goes singular value, filter, go null offset, remove trend term and resampling.
8. according to the method described in claim 2, it is characterized in that, the step (3) specifically: in Estimation of Frequency Response Function
White pink noise signal drive system Dynamics Simulation Model is generated in module, measuring point response signal is extracted, in frequency response letter
The Frequency Response that each Challenge-response channel is analyzed in number estimation module establishes characterization Rigid-flexible Coupling Model dynamic response characteristic
Subchannel formula frequency response function.
9. according to the method described in claim 8, it is characterized in that, the white powder red noise driving signal is raw using Shape method
At, and the energy of the white powder red noise driving signal and bandwidth match with road test load spectrum signal；The subchannel formula frequency
Rate receptance function is the frequency domain character by analyzing different Challenge-response channels, is established respectively using nonparametric identification method each
The frequency response function in channel, so that the whole frequency response function of system is divided into subchannel formula frequency response function.
10. according to the described in any item methods of claim 2-9, which is characterized in that the true road spectrum reproduces pumping signal
As vehicle/components system dynamics simulation analysis pumping signal, to reproduce any position in vehicle/components system
Comprehensive kinematic and dynamic modeling under true road spectrum incentive.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910627039.9A CN110414096B (en) | 2019-07-12 | 2019-07-12 | Real road spectrum reproduction system and method based on Matlab/Adams joint simulation |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910627039.9A CN110414096B (en) | 2019-07-12 | 2019-07-12 | Real road spectrum reproduction system and method based on Matlab/Adams joint simulation |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN110414096A true CN110414096A (en) | 2019-11-05 |
| CN110414096B CN110414096B (en) | 2023-06-06 |
Family
ID=68361167
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910627039.9A Active CN110414096B (en) | 2019-07-12 | 2019-07-12 | Real road spectrum reproduction system and method based on Matlab/Adams joint simulation |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN110414096B (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112597684A (en) * | 2020-12-25 | 2021-04-02 | 宜宾凯翼汽车有限公司 | Method for extracting static load of power assembly support 28 under working condition |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104239734A (en) * | 2014-09-24 | 2014-12-24 | 重庆长安汽车股份有限公司 | Load analysis method for four-wheel six-component road spectrum of finished automobile |
-
2019
- 2019-07-12 CN CN201910627039.9A patent/CN110414096B/en active Active
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104239734A (en) * | 2014-09-24 | 2014-12-24 | 重庆长安汽车股份有限公司 | Load analysis method for four-wheel six-component road spectrum of finished automobile |
Non-Patent Citations (2)
| Title |
|---|
| 周泽: "基于真实路谱重现的虚拟台架及汽车疲劳寿命预测研究", 《中国博士学位论文全文数据库》 * |
| 王陶等: "基于真实路谱再现的商用车驾驶室疲劳破坏", 《华中科技大学学报》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112597684A (en) * | 2020-12-25 | 2021-04-02 | 宜宾凯翼汽车有限公司 | Method for extracting static load of power assembly support 28 under working condition |
Also Published As
| Publication number | Publication date |
|---|---|
| CN110414096B (en) | 2023-06-06 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN111707351B (en) | Abnormal position positioning method and system based on noise vibration source of truck chassis | |
| CN104834763B (en) | Obtain the method and engine design optimization method of engine radiation noise | |
| CN1828617A (en) | Software and hardware synergistic simulation/ validation system and vector mode simulation/ validation method | |
| CN105631090A (en) | Finite element model optimization device and method | |
| CN109614968A (en) | A kind of car plate detection scene picture generation method based on multiple dimensioned mixed image stylization | |
| EP1544760A3 (en) | Three dimensional road-vehicle modeling system | |
| CN104361149B (en) | The construction method of multi-axle heavy type vehicle virtual model machine | |
| CN110414096A (en) | A kind of true road spectrum playback system and method based on Matlab/Adams associative simulation | |
| CN110175365A (en) | A method of improving labyrinth low-frequency vibration performance | |
| CN106126804A (en) | The behavioral scaling modeling of a kind of power amplifier bottom circuit and verification method | |
| CN114115200A (en) | NVH (noise, vibration and harshness) testing system and NVH testing method for electric automobile electric drive assembly | |
| CN101216950A (en) | An elastic deformation simulation method based on linear differential operator | |
| CN113779785B (en) | Digital twin complex equipment deconstructing model system and deconstructing method thereof | |
| CN111272438A (en) | Test system and method for finished automobile road simulation test | |
| CN109240155A (en) | A kind of multi-data source vehicular data acquisition system and method | |
| CN116933699A (en) | Method, electronic device and storage medium for generating and storing waveform data in a circuit simulation process | |
| CN108021739B (en) | Method for analyzing influence degree of parameters of real-time simulation model of high-power military diesel engine | |
| CN111832114A (en) | Method for improving matching degree of automobile brake squeal simulation and test | |
| CN213422401U (en) | Engine noise acquisition system | |
| CN105373884A (en) | Electronic equipment efficiency environment influence assessment method | |
| CN114297890A (en) | Tire modal simulation method, device and program based on rubber material equivalent density calculation | |
| CN111753414B (en) | Seepage characteristic simulation method for rock progressive destruction process based on non-Darcy law | |
| CN114676494A (en) | Method, device and equipment for establishing vehicle finite element analysis model and storage medium | |
| CN106096205A (en) | The environmental structure method and device of collision simulation virtual reality | |
| CN1996235A (en) | Floating-point complex multiplier |
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 | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |