CN112052518B - Far-field measurement and identification method for ice load of polar ship structure - Google Patents
Far-field measurement and identification method for ice load of polar ship structure Download PDFInfo
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- CN112052518B CN112052518B CN202010825598.3A CN202010825598A CN112052518B CN 112052518 B CN112052518 B CN 112052518B CN 202010825598 A CN202010825598 A CN 202010825598A CN 112052518 B CN112052518 B CN 112052518B
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Abstract
The invention provides a far-field measurement and identification method for an ice load of a polar region ship structure, belongs to the technical field of load monitoring and identification, and is used for a polar region ship structure ice load field test. The method comprises two parts of strain far-field measurement and ice load far-field identification. The strain far-field measurement uses a resistance strain gauge to measure the strain outside the ice load acting area, the resistance strain gauge is distributed on a web plate of a bow, a shoulder or a stern side rib or a longitudinal girder in an array form, and a strain signal is recorded, filtered and transmitted to a computer hard disk for storage through a dynamic strain gauge; and the ice load far field identification is used for establishing a real conversion relation between the strain outside the ice load action area and the ice load in the ice load action area, so that the ice load is accurately solved. The method can identify the ice load of the polar ship structure in the region through the strain signal measured outside the ice load acting region, has the characteristics of strong space adaptability, high inversion accuracy and the like, and has certain research and application values in the technical field of load monitoring and identification.
Description
Technical Field
The invention belongs to the technical field of load measurement and identification, and particularly relates to an ice load measurement and identification method when a strain measurement area is inconsistent with an ice load acting area in a field test of ice load of a polar ship structure.
Background
The ice load is an extreme environmental load suffered by the polar ship when the polar ship navigates in an ice area, and the field monitoring of the structure of the polar ship is an important way for researching the ice load. Generally, a strain sensor is installed at a position where a polar ship structure frequently contacts sea ice to measure a strain response caused by ice load, and then an influence coefficient matrix method is adopted to invert the ice load. However, the influence coefficient matrix method has certain limitations, and the load acting outside the strain measurement area has a large influence on the inversion accuracy. Particularly, in the field test process of the ice load of the polar ship structure, certain typical ice load acting areas, such as the vicinity of a ship head waterline, often have watertight structures, strain sensors cannot be installed on a large scale, the strain measurement area is difficult to be consistent with the ice load acting area, and at the moment, an influence coefficient matrix is singular, so that the inversion load value does not meet the requirements on stability and uniqueness, and finally the influence coefficient matrix method fails.
Disclosure of Invention
In order to make up for the technical defects in the existing load monitoring and identification technology based on an influence coefficient matrix method, the invention provides the far-field measurement and identification method of the ice load of the polar ship structure, which has strong space adaptability and high inversion precision.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a far-field measurement and identification method for ice load of a polar ship structure comprises strain far-field measurement and ice load far-field identification.
The strain far-field measurement uses a resistance strain gauge to measure the strain outside an ice load acting area, the resistance strain gauge is arranged on a bow, a shoulder or a side rib of a stern or a web of a longitudinal girder in an array mode, and strain signals are recorded, filtered and transmitted to a computer hard disk for storage through a dynamic strain gauge.
And the ice load far field is identified to establish a real conversion relation between the strain signal outside the ice load acting area and the ice load in the ice load acting area, so that the ice load is accurately solved.
The method specifically comprises the following steps:
(1-1) determination of the distribution area of the resistance strain gauge
The distribution area (i.e., strain measurement area) of the resistance strain gauge is located in a non-watertight compartment adjacent to a compartment in which a ship-ice contact area (i.e., ice load application area) of the bow, shoulder or stern of the ship is located. The strain measurement area has abundant and unobstructed working space so as to facilitate scientific researchers to implement the installation work of the resistance strain gauge, the size and the shape of the strain measurement area are consistent with those of the ice load acting area, and the coverage range of the strain measurement area is not overlapped with that of the ice load acting area.
(1-2) dividing an ice load acting region and a strain measuring region
The ice load acting area is divided into M subdomains with the same size and shape, and the strain measurement area is divided into N subdomains with the same size and shape. Wherein, the size and the shape of the strain measurement subdomain can not be completely the same as those of the ice load action subdomain; the number N of the strain measurement subdomains is greater than or equal to the number M of ice load acting subdomains.
(1-3) mounting of resistance Strain gage
And 1 resistance strain gauge is arranged in each strain measurement sub-domain, namely the number K of the resistance strain gauges is equal to the number N of the strain measurement sub-domains. The type of the resistance strain gauge is a unidirectional strain gauge, a two-way right-angle strain gauge or a three-way 45-degree strain gauge, the specific installation position is on the center line of a web plate of a side rib or a longitudinal girder, and the center line of the resistance strain gauge is parallel to or perpendicular to the center line of the web plate during installation. The number of rows and the number of columns of a strain gauge array consisting of the K resistance strain gauges are correspondingly equal to the number of rows and the number of columns of a strain measurement subdomain; the row spacing and the column spacing of the strain foil array are equal to each other and equal to the spacing of the side ribs.
(1-4) connection measuring instrument
Firstly, connecting a resistance strain gauge with a bridge box through a lead in a half-bridge manner; then connecting the bridge box with a measurement channel of the dynamic strain gauge through a connecting wire of the bridge box; and finally, connecting the dynamic strain gauge with a computer through a USB data line.
(1-5) debugging measuring instrument
Firstly, effectively grounding a dynamic strain gauge, then switching on a power supply and starting up the dynamic strain gauge, and installing and starting up data acquisition software on a computer; then setting the sampling frequency to be 500Hz, the measuring range to be-1000 mu epsilon and the low-pass filtering upper limit frequency to be 30Hz in a software interface; finally, the ice load acting area is knocked by using a wooden stick to simulate the collision of sea ice on the polar ship. If obvious strain signals generated in the strain measurement area can be observed in the software interface while knocking, the measuring instrument and the connection thereof are normal, the debugging is successful, and formal measurement can be carried out; and otherwise, indicating that the measuring instrument or the connection thereof has a fault, and failing to debug, returning to the steps (1-3) - (1-4) at the moment, and checking whether the installation of the resistance strain gauge and the connection of the measuring instrument have errors or not until the debugging is successful.
(1-6) formal measurement
And clicking a start button in a data acquisition software interface, and formally measuring and acquiring strain. In the measuring process, the dynamic strain gauge transmits the acquired strain signal to a computer hard disk for storage through a USB data line. The capacity of the computer hard disk is at least 1TB.
(2-1) establishing an ice load far-field recognition positive problem through a Green kernel function, namely solving far-field strain according to the ice load and the Green kernel function matrix. For the ice load in the ice load acting area, the conversion relation between the ice load and the strain measured by the strain gauge array outside the ice load acting area is as follows:
in the formula: epsilon i Measuring the strain time course within subfield i for the strain, wherein i =1,2, \8230;, N; p is a radical of j Applying an ice load time interval within domain j for an ice load, wherein j =1,2, \8230;, M; m and N are the number of ice load action subdomains and strain measurement subdomains respectively, and M is less than or equal to N; g ij In order to establish a Green kernel function matrix of a conversion relation between ice load in an ice load action sub-domain j and strain in a strain measurement sub-domain i, the determination method comprises the following steps: firstly, establishing a finite element model of a polar region ship structure; then, unit ice load is independently applied in the ice load action subdomain j, and the strain in the strain measurement subdomain i is calculated through finite element analysis; finally, the ice load time course p j And strain time course epsilon i Substituting the following formula to obtain G ij :
In the formula: m is the number of time periods in the ice load action period under the sampling frequency set by the data collector; ε (k) and p (k) are the strain value and ice load value, g, respectively, for time period k k Is a non-zero element in the Green kernel function matrix, where k =1,2, \8230;, m.
(2-2) solving the ice load far-field identification inverse problem through a Tikhonov regularization algorithm, namely solving the ice load according to the far-field strain and a Green kernel function matrix. After the Green kernel function matrix is obtained by the formulas (1) and (2), the adaptive ice load obtained by the Tikhonov regularization algorithm is expressed as:
p=(G T G+αI) -1 G T ε#(3)
in the formula: i is a unit array; alpha is a non-negative regularization parameter, and the optimal value is selected through an L-curve criterion so thatThe curvature of an L-curve with lg rho and lg eta as horizontal and vertical coordinates is represented as follows:
the inflection point of the L-curve corresponds to the maximum value of kappa (alpha), alpha at the moment is the optimal regularization parameter, and the optimal regularization parameter is substituted into the formula (3) to obtain the proper ice load.
Compared with the existing load monitoring and identifying technology based on the influence coefficient matrix method, the load monitoring and identifying method has the beneficial effects that:
(1) In the strain far-field measuring method, the distribution area of the resistance strain gauge is more flexible, and the resistance strain gauge can be arranged outside the ice load acting area instead of being limited in the ice load acting area, so that the ice load monitoring range is effectively expanded.
(2) The ice load obtained by the ice load far-field identification method is higher in accuracy, the Green kernel function can truly reflect the dynamic characteristics of the ice load, and the Tikhonov regularization algorithm can solve the ill-conditioned problem of the Green kernel function matrix so as to ensure the suitability of an inversion result.
(3) The invention has novel form and strong subsequent expansibility, can be used as a novel, efficient and reliable polar ship structure ice load measurement and identification tool, and has certain research and application values in the technical field of load monitoring and identification.
Drawings
FIG. 1 is a schematic diagram of the components of the ice load far-field measurement identification method of the present invention;
FIG. 2 is a schematic illustration of the location and division of the strain measurement zones and ice loading zones according to the present invention;
fig. 3 is a schematic diagram of a connection mode between a position where a resistance strain gauge is arranged and a measuring instrument in the strain far-field measuring method of the present invention.
In the figure: 1 polar vessels; 2, a water line; 3, sea ice; 4 ice loading acting area; 5 a strain measurement area; 6 broadside stringers; 7, a deck; 8 resistance strain gauges; 9 broadside ribs; 10 web midline; 11 a lead; 12 bridge boxes; 13, connecting wires are arranged on the bridge box; 14 a dynamic strain gauge; 15USB data line; 16 computer.
Detailed Description
The following describes the components and operation of the present invention with reference to fig. 1 to 3.
As shown in FIG. 1, the invention provides a far-field measurement and identification method for ice load of a polar ship structure, which comprises two parts of strain far-field measurement and ice load far-field identification. The specific implementation mode is as follows:
(1-1) determination of the distribution area of the resistance strain gauge
As shown in fig. 2, since it is inconvenient to arrange a strain sensor in the ice load acting region 4 when the polar vessel 1 collides with the sea ice 3 near the waterline 2 at the bow, a non-watertight compartment adjacent to the above is selected as the strain measuring region 5, in which the size and the shape of the ice load acting region 4 are the same, the coverage area is not overlapped, and the working space is sufficient and unobstructed.
(1-2) dividing ice load acting area and strain measuring area
As shown in fig. 2, the ice load application region 4 and the strain measurement region 5 are each divided into 15 subfields of identical size and shape, with 3 rows and 5 columns.
(1-3) mounting of resistance Strain gauges
As shown in fig. 3, the area between the side stringer 6 and the deck 7 is the strain measurement area 5, and the resistance strain gauge 8 is mounted on the center line 10 of the web of the side rib 9 such that the center axis is parallel to the center line 10 of the web, and the remaining 14 resistance strain gauges are mounted in the same manner. The total 15 resistance strain gauges are distributed on 5 broadside ribs in the strain measurement area, and a strain gauge array with 3 rows and 5 columns is formed together. The row spacing and the column spacing of the strain foil array are equal to the broadside rib spacing.
(1-4) connection measuring instrument
Firstly, connecting a resistance strain gauge 8 with a bridge box 12 through a lead 11 in a half-bridge mode; then the bridge box 12 is connected with a measuring channel of a dynamic strain gauge 14 through a connecting wire 13 carried by the bridge box; finally, the dynamic strain gauge 14 is connected with a computer 16 through a USB data line 15. The other 14 resistance strain gauges are wired in the same manner. The model number of the dynamic strain gauge 14 is DH5922N; the bridge box 12 is a complete set of dynamic strain gauges 14.
(1-5) debugging measuring instrument
Firstly, effectively grounding the dynamic strain gauge 14, then switching on a power supply and starting up, and installing and starting up data acquisition software on the computer 16; then setting the sampling frequency to be 500Hz, the measuring range to be-1000 mu epsilon and the upper limit frequency of the low-pass filtering to be 30Hz in a software interface; finally, the ice load application area 4 is struck with a wooden stick. If obvious strain signals generated in the strain measurement area 5 can be observed in the software interface while knocking, debugging is successful, and formal measurement can be carried out; otherwise, the debugging is unsuccessful, the step (1-3) to (1-4) is returned, and whether the connection between the installation of the resistance strain gauge and the measuring instrument is wrong or not is checked until the debugging is successful. The data acquisition software is matched software of the dynamic strain gauge 14.
(1-6) official measurement
And clicking a start button in a data acquisition software interface, and formally measuring and acquiring the strain.
(2-1) establishing an ice load far-field identification positive problem through a Green kernel function, namely solving far-field strain according to the ice load and the Green kernel function matrix. Firstly, establishing a finite element model of a polar region ship structure; then, unit ice load is applied to each ice load effect sub-domain of the model in sequence, and the strain in each strain measurement sub-domain is calculated through finite element analysis; and finally, solving a Green kernel function matrix according to the formula (1) and the formula (2).
(2-2) solving an ice load far-field recognition inverse problem through a Tikhonov regularization algorithm, namely solving the ice load according to far-field strain and a Green kernel function matrix. And (3) importing the strain time course actually measured in a field test, calculating the proper ice load by using a formula (3) through a Tikhonov regularization algorithm, and determining the optimal value of the regularization parameter in the formula (3) through an L-curve criterion by using a formula (4).
The above description is only for the purpose of illustrating the embodiments of the present invention and the appended claims are not to be construed as limiting the invention, but rather as encompassing all the modifications, equivalents, and improvements made within the spirit and scope of the present invention.
Claims (2)
1. A far-field measurement and identification method for ice load of a polar ship structure is characterized by comprising the following steps:
step 1, strain far-field measurement
(1-1) determination of the distribution area of the resistance strain gauge
The distribution area of the resistance strain gauge is a strain measurement area which is positioned in a non-watertight cabin adjacent to a cabin where an ice load action area at the bow, the shoulder or the tail of the ship is positioned; the ice load acting area is a ship-ice contact area; the strain measurement area is provided with an unobstructed working space, the size and the shape of the strain measurement area are consistent with those of the ice load acting area, and the coverage area of the strain measurement area is not overlapped with that of the ice load acting area;
(1-2) dividing an ice load acting region and a strain measuring region
Dividing an ice load acting area into M subdomains with the same size and shape, and dividing a strain measurement area into N subdomains with the same size and shape; wherein M is less than or equal to N;
(1-3) mounting of resistance Strain gage
1 resistance strain gauge is arranged in each strain measurement subdomain, namely the number K of the resistance strain gauges is equal to the number N of the strain measurement subdomains; the resistance strain gauge is arranged on the central line of a web plate of a broadside rib or a stringer, and the central line of the resistance strain gauge is parallel to or perpendicular to the central line of the web plate; the number of rows and the number of columns of a strain gauge array consisting of the K resistance strain gauges are correspondingly equal to the number of rows and the number of columns of a strain measurement subdomain; the row spacing and the column spacing of the strain foil array are equal to the broadside rib spacing;
(1-4) connection measuring instrument
Firstly, connecting a resistance strain gauge with a bridge box through a lead in a half-bridge mode; then connecting the bridge box with a measurement channel of the dynamic strain gauge through a connecting wire of the bridge box; finally, connecting the dynamic strain gauge with a computer through a USB data line;
(1-5) debugging measuring instrument
Firstly, effectively grounding a dynamic strain gauge, then switching on a power supply, starting up the computer; then setting the sampling frequency to be 500Hz, the measuring range to be-1000 mu epsilon, and the upper limit frequency of the low-pass filtering to be 30Hz; finally, knocking an ice load action area by using a stick to simulate the collision of sea ice on polar ships; if obvious strain signals generated in the strain measurement area can be observed in the computer while knocking, the measuring instrument and the connection thereof are normal, the debugging is successful, and formal measurement can be carried out; otherwise, indicating that the measuring instrument or the connection thereof has a fault and the debugging is unsuccessful, returning to the steps (1-3) - (1-4) at the moment, and checking whether the installation of the resistance strain gauge and the connection of the measuring instrument are wrong or not until the debugging is successful;
(1-6) official measurement
Formally measuring and collecting strain;
step 2, ice load far-field identification
(2-1) establishing an ice load far-field recognition positive problem through a Green kernel function, namely solving far-field strain according to the ice load and a Green kernel function matrix; for the ice load in the ice load acting area, the conversion relation between the ice load and the strain measured by the strain gauge array outside the ice load acting area is as follows:
in the formula: epsilon i Measuring the strain time course within subfield i for the strain, wherein i =1,2, \8230;, N; p is a radical of j Applying an ice load time course within domain j for an ice load, wherein j =1,2, \ 8230;, M; g ij In order to establish a Green kernel function matrix of a conversion relation between ice load in an ice load action sub-domain j and strain in a strain measurement sub-domain i, the determination method comprises the following steps: firstly, establishing a finite element model of a polar region ship structure; then, unit ice load is independently applied in the ice load action subdomain j, and the strain in the strain measurement subdomain i is calculated through finite element analysis; finally, the ice load time course p j And strain time course epsilon i Substituting the following formula to obtain G ij :
In the formula: m is the number of time periods in the ice load acting period under the sampling frequency set by the data collector; ε (k) and p (k) are the strain value and ice load value, g, respectively, for time period k k Is a non-zero element in the Green kernel function matrix, where k =1,2, \ 8230;, m;
(2-2) solving an ice load far-field recognition inverse problem through a Tikhonov regularization algorithm, namely solving the ice load according to far-field strain and a Green kernel function matrix; after the Green kernel function matrix is obtained by the formulas (1) and (2), the adaptive ice load obtained by the Tikhonov regularization algorithm is expressed as:
p=(G T G+αI) -1 G T ε# (3)
in the formula: i is a unit array; alpha is a non-negative regularization parameter, and the optimal value is selected through an L-curve criterion so as to enableThe curvature of an L-curve with lg rho and lg eta as horizontal and vertical coordinates is represented as follows:
the inflection point of the L-curve corresponds to the maximum value of kappa (alpha), and alpha at this time is the optimal regularization parameter, and the optimal regularization parameter is substituted into the formula (3) to obtain the appropriate ice load.
2. The far-field measurement and identification method for the ice load of the polar ship structure according to claim 1, wherein the type of the resistance strain gauge is a unidirectional strain gauge, a bidirectional right-angle strain gauge or a three-directional 45-degree strain gauge.
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