CN113093535A - Eight-leg hyperstatic vibration isolation platform with orthogonal configuration and fault-tolerant control method - Google Patents
Eight-leg hyperstatic vibration isolation platform with orthogonal configuration and fault-tolerant control method Download PDFInfo
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Abstract
The invention relates to an eight-leg hyperstatic vibration isolation platform with an orthogonal configuration and a fault-tolerant control method, and belongs to the field of active vibration isolation control of optical loads of space stations. The invention carries out preliminary research on the reliability design problem of the eight-leg hyperstatic platform, and the designed orthogonal decoupling configuration releases the coupling influence from the structure, thereby facilitating the design of the controller. The failure condition of the actuator is researched, the failure mode is analyzed, and a reconstruction model is built. The reliability of the vibration isolation platform when the actuator fails can be improved by the researched fault-tolerant control method.
Description
Technical Field
The invention belongs to the field of active vibration isolation control of optical loads of space stations, and particularly relates to an eight-leg hyperstatic vibration isolation platform with an orthogonal configuration and a fault-tolerant control method.
Background
At present, scientific experiments are developed on a space station, the space station is required to have an extremely high micro-vibration environment, and the micro-vibration level of the mu g magnitude is required particularly for the scientific experiments of photoelectric equipment which is extremely sensitive to vibration. However, due to the existence of various disturbance sources such as astronauts, fans, refrigerators and the like, the micro-vibration environment problem of the space station is prominent.
The optical instrument of the space station is sensitive to low-frequency vibration, the traditional passive vibration isolation is to add a rigid element and a damping element between a vibration source and a controlled object, mechanical energy of relative movement of two ends of the damping element is converted into energy in other forms for consumption or storage, and the rigid element is utilized to transfer resonance frequency to an excitation low-energy frequency band so as to isolate high-frequency disturbance, reduce response of the controlled object under the action of external excitation and achieve the purpose of vibration reduction. However, the traditional passive vibration isolation mainly isolates the high-frequency vibration of the controlled object, and the low-frequency micro-vibration is not obviously inhibited. Therefore, it remains a challenge to isolate low frequency vibrations of spacecraft using purely passive vibration isolation techniques. Therefore, with the application of high-precision equipment in the aerospace field, the traditional passive vibration isolation method cannot meet the requirements. In order to suppress the micro-vibration in the low frequency region, many researchers have been dedicated to research the hyperstatic active vibration isolation platform, so as to meet the performance requirements of the hyperstatic micro-vibration environment.
Disclosure of Invention
Technical problem to be solved
The invention provides an eight-leg hyperstatic vibration isolation platform with an orthogonal configuration and a fault-tolerant control method, aiming at solving the problem that the vibration isolation performance is affected by the failure of an actuator of a vibration isolation platform, and particularly inhibiting low-frequency vibration.
Technical scheme
An eight-leg hyperstatic vibration isolation platform with an orthogonal structure is characterized by comprising a lower platform, an upper platform and 8 voice coil actuators; the lower platform is fixedly connected to the space station, and the upper platform is suspended on the lower platform through 8 voice coil actuators; the other 4 lateral voice coil actuators are arranged on the upper platform and are arranged along an XOY plane at an included angle of 90 degrees; all the voice coil actuator magnet parts are arranged on the upper platform, 4 lateral voice coil actuator coil parts are connected with the lower platform through triangular blocks, and 4 vertical actuator coil parts are directly connected with the lower platform; each voice coil actuator is provided with a spring in a matching way, and the spring is arranged between the upper platform and the lower platform for constraint and limit; 1 accelerometer of coaxial arrangement on every voice coil actuator, the acceleration information of real-time measurement upper mounting plate load, 8 landing legs that voice coil actuator and spring are constituteed carry out active passive vibration isolation control to realize the super quiet environment of upper mounting plate.
The technical scheme of the invention is further that: the coordinates of the intersection points of the 8 voice coil actuators and the upper platform are respectively as follows:
the coordinates of the intersection points of the 8 voice coil actuators and the lower platform are respectively as follows:
wherein, the unit is m, and the central point of the following platform is the origin of coordinates.
A fault-tolerant control method implemented by an ultra-static vibration isolation platform is characterized by comprising the following steps: firstly, judging whether the actuator has a fault or not according to the measured value of the acceleration sensor and the control voltage of the voice coil actuator;
when the vibration isolation platform works normally, a Jacobian matrix can be obtained by utilizing the coordinates of the supporting legs; substituting the Jacobian matrix into equation (3) yields Mp，
The vibration isolation platform is a diagonal matrix, so that six degrees of freedom of the vibration isolation platform are decoupled, and each degree of freedom can be controlled respectively to meet the vibration isolation requirement; controlling the acceleration values of the vibration isolation upper platform in six freedom degree directions respectively through 6 paths of control signals of the controller, so that the acceleration in each freedom degree direction reaches a target value 0; the 6 paths of control signals pass through a formula (4) to obtain control signals of 8 actuators so as to drive the actuators; acceleration values measured by 8 acceleration sensors can be calculated through a formula (4) to obtain acceleration values of the upper platform in six freedom degree directions, and the acceleration values are fed back to the controller; controlling the vibration isolation platform according to a formula (3) by adjusting a parameter K of the 6 control signalspi，KIi，KDiThe deviation between the target acceleration value and the feedback acceleration value is controlled, and 8 voice coil actuators are driven to carry out active vibration isolation control on the vibration isolation platformPreparing;
the formula (3):
in the formula, MpThe inertia matrix is F is the output force vector of the supporting leg, and C is the damping matrix of the actuator; k is an actuator rigidity matrix; j. the design is a squarepAnd JbJacobian matrixes of the upper platform and the lower platform respectively; x is the number ofpAnd xbGeneralized coordinates of an upper platform and a lower platform respectively; deltaxpAnd δ xbThe generalized coordinate variation of the upper platform and the generalized coordinate variation of the lower platform are respectively;
the formula (4):
in the formula (I), the compound is shown in the specification,
is the speed, omega of the upper platform in three directions of XYZpThe speed of the upper platform in the X, Y and Z directions is determined;
when a certain actuator has a fault, reconstructing a dynamic model of the vibration isolation platform according to the position of the fault actuator, namely reconstructing a primitive Jacobian matrix J in a formula (7)p1Of [ i ] th corresponding to the position of the failed actuator1,i2,…,im]Setting all row elements to zero, substituting the row elements into a formula (6), and obtaining a reconstruction matrix (6) under the condition of actuator failure; acceleration values measured by 8 acceleration sensors can be calculated by a formula (4) according to the acceleration values in six freedom degrees of the upper platform after the actuator fails, and are fed back to the controller; the Jacobian matrix J in the formula (7)p1Substitution of J into equation (4)pObtaining a new formula (4) ', and obtaining the control signal of the actuator without fault through the 6-path control signal by the formula (4)', so as to drive the actuator without fault; controlling the vibration isolation platform according to a formula (6) by adjusting 6 pathsControl signal parameter Kpi，KIi，KDiControlling the deviation of the target acceleration value and the feedback acceleration value, and driving an actuator which does not have a fault to carry out active vibration isolation control on the vibration isolation platform, so that the acceleration values of the vibration isolation upper platform in six freedom degree directions reach the target value;
the formula (7):
the formula (6):
the technical scheme of the invention is further that: an actuator failure determination method includes: when the control voltages of the 8 voice coil actuators are normal and the measured value of one acceleration sensor drifts or is zero all the time, the voice coil actuator coaxial with the acceleration sensor can be judged to have a fault.
Advantageous effects
The invention provides an eight-leg hyperstatic vibration isolation platform with an orthogonal structure, which is characterized in that firstly, a model is analyzed, and an orthogonal structure is adopted for eight support legs, so that decoupling of actuators is ensured, and the coupling effect among the actuators is reduced; meanwhile, the invention also provides a fault-tolerant control method, which analyzes the actuator fault principle, reconstructs the fault model and adjusts the controller, thereby realizing the fault-tolerant control of the vibration isolation platform. The invention can improve the stability and reliability of the vibration isolation platform when the actuator fails.
Drawings
FIG. 1 illustrates the mounting positions of various components of the vibration isolation platform;
FIG. 2 is an orthogonal configuration of the vibration isolation platform;
FIG. 3 is a flow chart of a vibration isolation platform fault tolerance control method;
FIG. 4 is a block diagram of a vibration isolation platform fault tolerant controller system;
1-upper platform, 2-acceleration sensor, 3-triangular block, 4, lateral voice coil actuator, 5-vertical voice coil actuator, 6-lower platform and 7-spring.
Detailed Description
The invention will now be further described with reference to the following examples and drawings:
the invention carries out preliminary research on the reliability design problem of the eight-leg hyperstatic platform, and the designed orthogonal decoupling configuration releases the coupling influence from the structure, thereby facilitating the design of the controller. The failure condition of the actuator is researched, the failure mode is analyzed, and a reconstruction model is built.
Hyperstatic vibration isolation platform design
As shown in fig. 1, the hyperstatic vibration isolation platform comprises an upper platform, a lower platform, eight voice coil actuators and eight springs; the lower platform of the hyperstatic vibration isolation platform is fixedly connected to the space station, and the upper platform is suspended on the lower platform through eight voice coil actuators. Wherein four vertical actuators are symmetrically distributed at four corners along the Z-axis direction, and the other four lateral voice coil actuators are arranged on the upper platform and arranged at 90-degree included angles along the XOY plane. All eight voice coil loudspeaker voice coil actuators's magnet part all installs at the upper mounting plate, and eight side direction voice coil loudspeaker voice coil actuator coil parts are connected with lower platform through three hornblocks, and four vertical voice coil loudspeaker voice coil actuators's coil part lug connection are under the platform. Because the non-contact characteristic of voice coil actuator, in order to avoid possible collision, install between upper and lower platform with the spring next to every voice coil actuator, restrain spacingly to the spring can provide passive damping performance, effectively keeps apart high-frequency vibration. The eight acceleration sensors are coaxially arranged with the voice coil actuators, and the acceleration information of each voice coil actuator is measured in real time. Eight supporting legs consisting of the voice coil actuators and the springs are used for active and passive vibration isolation control, so that the hyperstatic environment of the upper platform is realized.
The position of eight voice coil loudspeaker voice coil actuators of vibration isolation platform is shown in figure 2, wherein 1, 2, 3, 4 are side direction voice coil loudspeaker voice coil actuators, 5, 6, 7, 8 are vertical voice coil loudspeaker voice coil actuators, 1 and 2 are along the XOY plane and are 90 contained angles installation, 3 and 4 are along the XOY plane and are 90 contained angles installation, 5, 6, 7, 8 are along Z axle direction at four angle department symmetric distributions.
Kinetic modeling
For ease of study, the voice coil actuator and spring were considered as legs for kinetic modeling. In the vibration isolation process, the supporting leg is also subjected to a certain damping effect, so that the equivalent model of the supporting leg can be expressed as follows:
in the formula: f. ofciThe active output force of the voice coil actuator can be obtained after simplification,
Δliis the extension of the active actuator;
for the actuator's velocity of motion, k, c are the actuator's stiffness and damping, respectively, and U is the actuator's voltage.
The output force vectors of the eight legs obtained through arrangement can be expressed as:
in the formula:
Cmis a matrix of actuator back electromotive force constants; c is an actuator damping matrix; k is an actuator rigidity matrix; j. the design is a squarepAnd JbJacobian matrixes of the upper platform and the lower platform respectively; x is the number ofpAnd xbGeneralized coordinates of an upper platform and a lower platform respectively; deltaxpAnd δ xbThe generalized coordinate variation of the upper platform and the lower platform respectively.
The dynamic model of the vibration isolation platform can be expressed as:
in the formula, MpAnd F is the output force vector of the leg.
As can be seen from equation (3)
xbThere is a large coupling between them, which presents a significant challenge to the performance of the controller. In order to facilitate the design of the controller, the configuration of the vibration isolation platform needs to be designed.
Orthogonal configuration design
The orthogonal configuration is designed to ensure that the effect of a single actuator failure on overall performance is the same. Meanwhile, the design can realize decoupling of a dynamic equation of the vibration isolation platform, reduce coupling between actuators to the maximum extent, facilitate design of a controller and improve reliability.
The relationship between the motion of the vibration isolated upper platform and the actuator velocity can be expressed by equation (4):
in the formula:
for the velocity vectors of the 8 actuators,
for the velocity of the upper stage in three XYZ directions, ωpThe speed of the upper platform around the X direction, the Y direction and the Z direction is shown. J. the design is a squarepIs Jacobian matrix, and has a relation with the layout form of the actuator, and the specific expression is shown as formula (5), wherein tauiA unit vector representing the ith actuator direction, rpiRepresenting the coordinates of the intersection of the ith actuator and the upper platform in the upper platform coordinate system.
To is coming toTo weaken the coupling of the vibration isolation platform, the Jacobian matrix J is requiredpAnd (5) designing. When it is satisfied with
Wherein KtAnd KrRespectively 3 × 3 diagonal arrays, then
Are diagonal matrices, then equation (5) becomes a decoupling equation and the layout of the platform actuators is orthogonal.
The coordinates of each actuator meeting the orthogonal configuration can be solved through the position relation of the voice coil actuators of the vibration isolation platform, and therefore a corresponding Jacobian matrix is obtained.
The coordinates (unit is m) of the intersection points of the 8 voice coil actuators and the upper platform are respectively
The coordinates (unit is m) of the intersection points of the 8 actuators and the lower platform are respectively
Jacobi matrix JpIs composed of
Fault tolerant control
Before fault-tolerant control, firstly, fault judgment is required:
and judging whether the actuator has a fault or not according to the measured value of the acceleration sensor and the control voltage of the voice coil actuator. When the control voltages of the 8 voice coil actuators are normal, the measured value of one acceleration sensor is obviously higher than that of other acceleration sensors (not in an order of magnitude) or is zero all the time, it can be judged that the voice coil actuator coaxial with the acceleration sensor fails, and then the failed actuator can be compensated through a fault-tolerant control method.
When one or more actuators of the vibration isolation platform have faults, the actuators cannot output active control force, but the rigidity and damping effect of the actuators still exist, and the passive vibration isolation effect still exists. Let the failure actuator number be [ i ]1,i2,…im]The model can be equivalently modified as:
wherein:
jacobian matrix J of the last term in equation (3) when the actuator failspThe change is carried out according to the following rule: when actuator No. i fails, JpThe ith row vector value in the matrix is 0, and a Jacobian matrix J is obtainedp1And obtaining a dynamic model (6) when the actuator fails. The influence of the failure mode of the vibration isolation platform actuator on the dynamic model is reflected on the Jacobian matrix. And reconstructing a Jacobian matrix of the vibration isolation platform through the characteristics of the failure mode, and further performing fault-tolerant control on the platform.
The vibration isolation platform adopts PID as a controller to carry out fault-tolerant control, and when the controller is designed, the acceleration values of six degrees of freedom of the upper platform are selected as control variables, and the variables are all measurable variables and serve as feedback variables of the controller.
When the vibration isolation platform works normally, the Jacobian matrix (5) can be obtained by utilizing the coordinates of the support legs. Substituting (5) into equation (3) yields Mp，
The vibration isolation platform is a diagonal matrix, so that the six degrees of freedom of the vibration isolation platform are decoupled, and each degree of freedom can be controlled respectively to meet the vibration isolation requirement. The acceleration values of the vibration isolation upper platform in six freedom degree directions are respectively controlled through 6 paths of control signals of the controller, so that the acceleration in each freedom degree direction reaches a target value 0. The control signals of 8 actuators are obtained by the 6 paths of control signals through a formula (4) so as to drive the actuators. The acceleration values measured by the 8 acceleration sensors can be calculated through a formula (4) to obtain the acceleration values of the upper platform in six freedom degrees, and the acceleration values are fed back to the controller. Controlling the vibration isolation platform according to a formula (3) by adjusting a parameter K of the 6 control signalspi，KIi，KDiAnd controlling the deviation of the target acceleration value and the feedback acceleration value, and driving 8 voice coil actuators to carry out active vibration isolation control on the vibration isolation platform.
When the vibration isolation platform judges that the actuator has a fault, the model is reconstructed according to the position of the actuator with the fault, namely the original Jacobian matrix J in the formula (7)p1Of [ i ] th corresponding to the position of the failed actuator1,i2,…,im]All row elements are set to zero and are substituted into the formula (6), and a reconstruction matrix (6) under the condition of actuator failure is obtained. The acceleration values measured by the 8 acceleration sensors can be calculated through a formula (4) to obtain the acceleration values of the upper platform in six freedom degrees after the actuator fails, and the acceleration values are fed back to the controller. The Jacobian matrix J in the formula (7)p1Substitution of J in formula (4)pAnd obtaining (4) ', and obtaining a control signal of the actuator without the fault through a formula (4)', wherein the control signal of the actuator without the fault is obtained through the 6 paths of control signals so as to drive the actuator without the fault. Controlling the vibration isolation platform according to a formula (6), and adjusting a parameter K of the 6 control signalspi，KIi，KDiAnd controlling the deviation of the target acceleration value and the feedback acceleration value, and driving the actuator which does not have a fault to carry out active vibration isolation control on the vibration isolation platform, so that the acceleration values of the vibration isolation upper platform in six freedom degree directions reach the target value. Fault-tolerant control process of vibration isolation platformWhich can be represented by figure 3. A vibration isolation platform controller system block diagram may be represented by fig. 4.
Claims (4)
1. An eight-leg hyperstatic vibration isolation platform with an orthogonal structure is characterized by comprising a lower platform, an upper platform and 8 voice coil actuators; the lower platform is fixedly connected to the space station, and the upper platform is suspended on the lower platform through 8 voice coil actuators; the other 4 lateral voice coil actuators are arranged on the upper platform and are arranged along an XOY plane at an included angle of 90 degrees; all the voice coil actuator magnet parts are arranged on the upper platform, 4 lateral voice coil actuator coil parts are connected with the lower platform through triangular blocks, and 4 vertical actuator coil parts are directly connected with the lower platform; each voice coil actuator is provided with a spring in a matching way, and the spring is arranged between the upper platform and the lower platform for constraint and limit; 1 accelerometer of coaxial arrangement on every voice coil actuator, the acceleration information of real-time measurement upper mounting plate load, 8 landing legs that voice coil actuator and spring are constituteed carry out active passive vibration isolation control to realize the super quiet environment of upper mounting plate.
2. The eight-leg ultra-static vibration isolation platform with orthogonal configuration as claimed in claim 1, wherein the coordinates of the intersection points of the 8 voice coil actuators and the upper platform are respectively:
the coordinates of the intersection points of the 8 voice coil actuators and the lower platform are respectively as follows:
wherein, the unit is m, and the central point of the following platform is the origin of coordinates.
3. A method of fault tolerant control of the hyperstatic vibration isolation platform of claim 1, wherein: firstly, judging whether the actuator has a fault or not according to the measured value of the acceleration sensor and the control voltage of the voice coil actuator;
when the vibration isolation platform works normally, a Jacobian matrix can be obtained by utilizing the coordinates of the supporting legs; substituting the Jacobian matrix into equation (3) yields Mp，
The vibration isolation platform is a diagonal matrix, so that six degrees of freedom of the vibration isolation platform are decoupled, and each degree of freedom can be controlled respectively to meet the vibration isolation requirement; controlling the acceleration values of the vibration isolation upper platform in six freedom degree directions respectively through 6 paths of control signals of the controller, so that the acceleration in each freedom degree direction reaches a target value 0; the 6 paths of control signals pass through a formula (4) to obtain control signals of 8 actuators so as to drive the actuators; acceleration values measured by 8 acceleration sensors can be calculated through a formula (4) to obtain acceleration values of the upper platform in six freedom degree directions, and the acceleration values are fed back to the controller; controlling the vibration isolation platform according to a formula (3) by adjusting a parameter K of the 6 control signalspi，KIi，KDiControlling the deviation of the target acceleration value and the feedback acceleration value, and driving 8 voice coil actuators to carry out active vibration isolation control on the vibration isolation platform;
the formula (3):
in the formula, MpThe inertia matrix is F is the output force vector of the supporting leg, and C is the damping matrix of the actuator; k is an actuator rigidity matrix; j. the design is a squarepAnd JbJacobian matrixes of the upper platform and the lower platform respectively; x is the number ofpAnd xbGeneralized coordinates of an upper platform and a lower platform respectively; deltaxpAnd δ xbThe generalized coordinate variation of the upper platform and the generalized coordinate variation of the lower platform are respectively;
the formula (4):
in the formula (I), the compound is shown in the specification,
is the speed, omega of the upper platform in three directions of XYZpThe speed of the upper platform in the X, Y and Z directions is determined;
when a certain actuator has a fault, reconstructing a dynamic model of the vibration isolation platform according to the position of the fault actuator, namely reconstructing a primitive Jacobian matrix J in a formula (7)p1Of [ i ] th corresponding to the position of the failed actuator1,i2,…,im]Setting all row elements to zero, substituting the row elements into a formula (6), and obtaining a reconstruction matrix (6) under the condition of actuator failure; acceleration values measured by 8 acceleration sensors can be calculated by a formula (4) according to the acceleration values in six freedom degrees of the upper platform after the actuator fails, and are fed back to the controller; the Jacobian matrix J in the formula (7)p1Substitution of J into equation (4)pObtaining a new formula (4) ', and obtaining the control signal of the actuator without fault through the 6-path control signal by the formula (4)', so as to drive the actuator without fault; controlling the vibration isolation platform according to a formula (6), and adjusting a parameter K of the 6 control signalspi，KIi，KDiControlling the deviation of the target acceleration value and the feedback acceleration value, and driving an actuator which does not have a fault to carry out active vibration isolation control on the vibration isolation platform, so that the acceleration values of the vibration isolation upper platform in six freedom degree directions reach the target value;
the formula (7):
the formula (6):
4. the fault-tolerant control method according to claim 3, wherein the actuator failure determination method comprises: when the control voltages of the 8 voice coil actuators are normal and the measured value of one acceleration sensor drifts or is zero all the time, the voice coil actuator coaxial with the acceleration sensor can be judged to have a fault.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113703310A (en) * | 2021-07-28 | 2021-11-26 | 清华大学 | Decoupling method and device for vibration isolation platform, computer equipment and storage medium |
| CN114408219A (en) * | 2022-01-21 | 2022-04-29 | 北京控制工程研究所 | Reconstruction method for command force distribution array of active pointing hyperstatic platform |
| CN114967777A (en) * | 2022-05-04 | 2022-08-30 | 西北工业大学 | Voice coil actuator-based hyperstatic active vibration isolation platform and method |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101383196A (en) * | 2008-09-16 | 2009-03-11 | 北京航空航天大学 | Modularized 6 freedom degree active vibration isolation platform |
| CN104163251A (en) * | 2014-08-06 | 2014-11-26 | 上海卫星工程研究所 | Eight-rod connecting type non-contact satellite platform load pose adjusting device and method |
| CN106763465A (en) * | 2017-03-07 | 2017-05-31 | 江苏大学 | A kind of passive vibration reduction platform of six degree of freedom master |
| CN106763398A (en) * | 2016-11-29 | 2017-05-31 | 哈尔滨工业大学 | A kind of orthogonal vibration-isolating platform of modular active-passive integratedization based on piezoelectricity |
| US9777793B1 (en) * | 2016-09-20 | 2017-10-03 | Huazhong University Of Science And Technology | Six-degree-of-freedom micro vibration suppression platform and control method thereof |
| CN108387645A (en) * | 2018-05-25 | 2018-08-10 | 中国人民解放军陆军工程大学 | Six-degree-of-freedom hybrid vibration isolation test system |
-
2021
- 2021-03-21 CN CN202110299270.7A patent/CN113093535A/en active Pending
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101383196A (en) * | 2008-09-16 | 2009-03-11 | 北京航空航天大学 | Modularized 6 freedom degree active vibration isolation platform |
| CN104163251A (en) * | 2014-08-06 | 2014-11-26 | 上海卫星工程研究所 | Eight-rod connecting type non-contact satellite platform load pose adjusting device and method |
| US9777793B1 (en) * | 2016-09-20 | 2017-10-03 | Huazhong University Of Science And Technology | Six-degree-of-freedom micro vibration suppression platform and control method thereof |
| CN106763398A (en) * | 2016-11-29 | 2017-05-31 | 哈尔滨工业大学 | A kind of orthogonal vibration-isolating platform of modular active-passive integratedization based on piezoelectricity |
| CN106763465A (en) * | 2017-03-07 | 2017-05-31 | 江苏大学 | A kind of passive vibration reduction platform of six degree of freedom master |
| CN108387645A (en) * | 2018-05-25 | 2018-08-10 | 中国人民解放军陆军工程大学 | Six-degree-of-freedom hybrid vibration isolation test system |
Non-Patent Citations (2)
| Title |
|---|
| 徐大业: "八作动器隔振平台的六自由度容错控制研究", 《中国优秀博硕士学位论文全文数据库(硕士)工程科技Ⅱ辑》 * |
| 赵耀;张赣波;李良伟;: "船舶推进轴系纵向振动及其控制技术研究进展" * |
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113703310A (en) * | 2021-07-28 | 2021-11-26 | 清华大学 | Decoupling method and device for vibration isolation platform, computer equipment and storage medium |
| CN113703310B (en) * | 2021-07-28 | 2023-03-21 | 清华大学 | Decoupling method and device for vibration isolation platform, computer equipment and storage medium |
| CN114408219A (en) * | 2022-01-21 | 2022-04-29 | 北京控制工程研究所 | Reconstruction method for command force distribution array of active pointing hyperstatic platform |
| CN114408219B (en) * | 2022-01-21 | 2023-06-16 | 北京控制工程研究所 | Method for reconstructing command force distribution array of active pointing hyperstatic platform |
| CN114967777A (en) * | 2022-05-04 | 2022-08-30 | 西北工业大学 | Voice coil actuator-based hyperstatic active vibration isolation platform and method |
| CN114967777B (en) * | 2022-05-04 | 2023-06-30 | 西北工业大学 | Ultra-static active vibration isolation platform and method based on voice coil actuator |
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