CN116663192B - Double-layer cylindrical shell vibration response simulation method and device - Google Patents
Double-layer cylindrical shell vibration response simulation method and device Download PDFInfo
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Abstract
The invention provides a method and a device for simulating vibration response of a double-layer cylindrical shell, belonging to the field of mechanical engineering, wherein the method comprises the following steps: determining a functional relation of a double-layer cylindrical shell vibration displacement response model; transforming the parameters according to the dimension analysis to obtain a scaling relation in which the dependent variable is the ratio of the vibration displacement response to the length of the shell and the independent variable is dimensionless; according to the scaling relation, obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on a similarity law; according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, the control parameters of the scaling model are obtained to be used for vibration response simulation, and based on the conversion relation, the vibration displacement response of the double-layer cylindrical shell is obtained according to the vibration displacement response simulated by the scaling model. The method determines the suitable scaling scale for accurately reflecting the vibration response, avoids the numerical precision problem caused by the order of magnitude difference, reduces the error existing in the traditional model test, and improves the precision and accuracy of the test result.
Description
Technical Field
The invention relates to the field of mechanical engineering, in particular to a double-layer cylindrical shell vibration response simulation method and device.
Background
In designing complex engineering structures or devices, experimental investigation is often required in order to test their vibrational response, stability and reliability. However, performing the test typically requires a significant amount of time, expense, and resources.
The cylindrical shell scaling model is a method for reducing a large cylindrical shell to a test feasible size so as to research the structural mechanics, material mechanics and other characteristics of the cylindrical shell. The cylindrical shell scaling model is usually manufactured by adopting the principle of equal scaling or geometric similarity, the large cylindrical shell model is reduced to a test feasible size, and the characteristics of strength and stability, fatigue life, processing technology, fluid dynamics stress and the like of the cylindrical shell model are verified through tests.
However, the current cylindrical shell scaling model is simply a scaled-down model to simplify the cylindrical shell model. For the scaling model, as the physical characteristics cannot be directly converted according to the scale of the scaling, the difference of the size effect and the scale effect exists between the actual system of the large complex double-layer cylindrical shell and the simplified model test, so that larger errors exist between the scaling model and the actual test, and the accuracy and the reliability of the experimental result often have defects.
Disclosure of Invention
Aiming at the problems existing in the prior art, the invention provides a double-layer cylindrical shell vibration response simulation method and device.
The invention provides a double-layer cylindrical shell vibration response simulation method, which comprises the following steps: determining a functional relation of a double-layer cylindrical shell vibration displacement response model, wherein independent variables in the functional relation are vibration displacement response control parameters; transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation in which the dependent variable is the ratio of vibration displacement response to the length of the shell and the independent variable is dimensionless; according to the scaling relation, obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on a similarity law; and obtaining control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation.
According to the method for simulating the vibration response of the double-layer cylindrical shell, parameters in the functional relation are transformed according to dimension analysis to obtain a scaling relation with strain quantity being the ratio of vibration displacement response to the length of the shell and independent variable dimensionless, wherein the scaling relation comprises the following steps:
Converting the dependent variable in the functional relation from a vibration displacement response to a ratio of the vibration displacement response to the length of the shell; and determining the proportionality coefficient of each independent variable in the functional relation by taking the shell density, the shell Young modulus and the shell length as basic quantities, and expressing the new independent variable as the product of the original independent variable and the corresponding proportionality coefficient to obtain the scaling relation.
According to the method for simulating the vibration response of the double-layer cylindrical shell, provided by the invention, according to the scaling relation, the conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model is obtained based on a similarity law, and the method comprises the following steps: based on a similarity law, the variable of the scaling relation about the double-layer cylindrical shell and the variable about the scaling model are respectively and correspondingly equal to obtain the conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model, wherein the variable comprises an independent variable and an independent variable.
According to the method for simulating the vibration response of the double-layer cylindrical shell, the control parameters comprise: moment of inertia, natural frequency, excitation force, shell length, outer diameter, shell thickness, inner shell thickness, outer shell density, inner shell density, outer shell young's modulus, inner shell young's modulus, outer shell poisson's ratio, inner shell poisson's ratio, annular rib cross-sectional area, outer shell modal loss factor, and inner shell modal loss factor.
According to the method for simulating the vibration response of the double-layer cylindrical shell, which is provided by the invention, the vibration displacement response of the double-layer cylindrical shell is obtained according to the vibration displacement response simulated by the scaling model based on the conversion relation, and the method comprises the following steps: after obtaining the vibration displacement response of the inner shell simulated by the scaling model, obtaining the vibration displacement response of the inner shell of the double-layer cylindrical shell based on the conversion relation; and according to the similarity principle of the inner shell and the outer shell, obtaining the vibration displacement response of the outer shell of the double-layer cylindrical shell according to the vibration displacement response of the inner shell of the double-layer cylindrical shell.
The invention also provides a double-layer cylindrical shell vibration response simulation device, which comprises: the input module is used for determining a functional relation of the vibration displacement response model of the double-layer cylindrical shell, wherein independent variables in the functional relation are vibration displacement response control parameters; the processing module is used for transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation with the dependent variable being the ratio of vibration displacement response to the length of the shell and the independent variable being dimensionless; the conversion module is used for obtaining the conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on the similarity law according to the scaling relation; and the output module is used for obtaining the control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining the vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation.
According to the double-layer cylindrical shell vibration response simulation device provided by the invention, the processing module is specifically used for: converting the dependent variable in the functional relation from a vibration displacement response to a ratio of the vibration displacement response to the length of the shell; and determining the proportionality coefficient of each independent variable in the functional relation by taking the shell density, the shell Young modulus and the shell length as basic quantities, and expressing the new independent variable as the product of the original independent variable and the corresponding proportionality coefficient to obtain the scaling relation.
The invention also provides an electronic device comprising a memory, a processor and a computer program stored on the memory and capable of running on the processor, wherein the processor realizes the double-layer cylindrical shell vibration response simulation method according to any one of the above when executing the program.
The present invention also provides a non-transitory computer readable storage medium having stored thereon a computer program which, when executed by a processor, implements a double-layer cylindrical shell vibration response simulation method as described in any one of the above.
The invention also provides a computer program product comprising a computer program which when executed by a processor implements a method of simulating a vibrational response of a double cylindrical shell as described in any one of the above.
The method and the device for simulating the vibration response of the double-layer cylindrical shell realize the simplification of a large-scale complex double-layer cylindrical shell structure, and determine key control variables and parameters by using dimension analysis, thereby realizing the determination of the combined scaling scale for accurately reflecting the vibration displacement response. On the basis, the vibration response of the actual double-layer cylindrical shell can be better reflected by utilizing the scaling principle and the similarity principle, so that errors in the traditional scaling model test are greatly reduced, and the precision and accuracy of the test result are improved.
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In order to more clearly illustrate the invention or the technical solutions of the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described, and it is obvious that the drawings in the description below are some embodiments of the invention, and other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a schematic flow chart of a method for simulating vibration response of a double-layer cylindrical shell;
FIG. 2 is a schematic view of a double-layer cylindrical shell structure according to the present invention;
FIG. 3 is a second flow chart of the method for simulating vibration response of a double-layer cylindrical shell according to the present invention;
FIG. 4 is a schematic diagram of a double-layer cylindrical shell structure according to the present invention;
FIG. 5 is a schematic diagram of a two-layer cylindrical shell finite element model provided by the invention;
FIG. 6 is a diagram of an excitation point and measurement point arrangement provided by the present invention;
FIG. 7 is a schematic diagram of the response result of the vibration response acceleration level of the measuring point 1;
FIG. 8 is a schematic diagram of the response result of the vibration response acceleration level of the measuring point 2 provided by the invention;
FIG. 9 is a node location layout provided by the present invention;
FIG. 10 is a graph of the vibration response similarity coefficients of the inner and outer shells provided by the invention;
FIG. 11 is a schematic diagram of a dual-layer cylindrical shell vibration response simulator according to the present invention;
Fig. 12 is a schematic structural diagram of an electronic device provided by the present invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The vibration response is used as an evaluation index of the structural performance, reflects the dynamic response characteristic of the structure when being excited, can help to analyze and evaluate the performance of the structure in actual use, replaces an original model to carry out a test by using the method provided by the invention, is quicker, more economical and safer, and ensures that the result is more visual and reliable.
The invention provides a method for constructing a simplified model of a double-layer cylindrical shell vibration response test. The method realizes the simplification of the large complex double-layer cylindrical shell structure, not only converts the structure into a small simple structure, but also obtains the similarity of the vibration response of the inner shell and the outer shell according to the principle of the similarity of the vibration of the inner shell and the outer shell, thereby deriving the vibration response of the original model through the vibration response of the inner shell of the scaling model. Therefore, the vibration response characteristic of the original structure can be rapidly and accurately predicted by utilizing the simplified model, so that the test cost and time are reduced, the test efficiency and the personnel safety coefficient are improved, and the accuracy from simulation to real test is improved.
The method and apparatus for simulating the vibrational response of a double cylindrical shell in accordance with the present invention are described below in conjunction with FIGS. 1-12. Fig. 1 is a schematic flow chart of a method for simulating vibration response of a double-layer cylindrical shell according to the present invention, as shown in fig. 1, the method for simulating vibration response of a double-layer cylindrical shell according to the present invention includes:
101. And determining a functional relation of the vibration displacement response model of the double-layer cylindrical shell, wherein an independent variable in the functional relation is a vibration displacement response control parameter.
FIG. 2 is a schematic diagram of a double-layer cylindrical shell structure according to the present invention, wherein first, control parameters for determining a vibration displacement response are determined, and the control parameters are physical quantities affecting the vibration displacement response, and generally include: moment of inertia I, natural frequency omega, exciting force F, shell length L, outer diameter R, shell thickness h 1, shell thickness h 2, shell density ρ 1, shell density ρ 2, shell Young's modulus E 1, shell Young's modulus E 2, shell Poisson's ratio sigma 1, shell Poisson's ratio sigma 2, annular rib cross-sectional area A, shell modal loss factorInner shell modal loss factor/>
And then determining a functional relation of the vibration displacement response of the double-layer cylindrical shell, wherein a specific functional relation is not required to be determined, and the functional relation is determined by combining the vibration displacement response as a dependent variable after determining an independent variable influencing the vibration displacement response, and the following formula is shown:
102. And according to dimension analysis, transforming parameters in the functional relation to obtain a dimensionless scaling relation in which the dependent variable is the ratio of vibration displacement response to the length of the shell.
For example, taking ρ 1, E1 and L as basic quantities, a scaled relationship of the vibration displacement response of the double-layer cylindrical shell is obtained through dimensional analysis, and can be converted into the following dimensionless relationship:
103. and according to the scaling relation, obtaining the conversion relation between each control parameter of the double-layer cylindrical shell and the control parameter corresponding to the scaling model based on the similarity law.
Specifically, for the sake of brevity, if the material of the scaling model is the same as that of the original model structure and the damping factor is equal, 8 relevant parameters remain the same as the original model, namely:
(ρ 1,ρ2,E1,E2,σ1,σ2,ηs1,ηs2) =const (constant) (3)
Then equation (2) can be simplified as:
According to the similarity law, the independent variable and the dependent variable parameter of the double-layer cylindrical shell in the scaling relation are correspondingly equal to the same independent variable and the dependent variable parameter in the scaling model, namely:
Wherein the subscript m represents the corresponding parameter in the scaling model.
As can be seen from equation (ρ 1,ρ2,E1,E2,σ1,σ2,ηs1,ηs2) =const, the above equation is simplified to obtain a scaling equation of the vibration displacement response of the double-layer cylindrical shell:
The control parameters corresponding to the scaling model are marked with m subscripts, and the control parameters of the double-layer cylindrical shell are marked without subscripts, namely the conversion relation between each control parameter of the double-layer cylindrical shell and the control parameters corresponding to the scaling model is obtained.
104. And obtaining control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation.
Let the scaling factor of the geometry L be the scaling factorThe moment of inertia I m＝α4 I, natural frequency ω m = (1/α) ω, excitation force F m =αf, outer diameter R m =αr, structure thickness/>, of the scaling modelAndThe cross-sectional area A m＝α2 A of the annular rib is used for obtaining the control parameters of the scaling model. Accordingly, the vibration displacement response U m =αu, and it can be seen that the ratio of the vibration response of the scaling model to the prototype double-layer cylindrical shell is equal to the scaling factor, and the vibration response U of the original model can be obtained naturally through the vibration response U m of the scaling model.
The double-layer cylindrical shell vibration response simulation method provided by the invention has the advantages that the simplification of a large-scale complex double-layer cylindrical shell structure is realized, key control variables and parameters are determined by using dimension analysis, so that the determination of the most suitable scaling dimension is realized, and the numerical precision problem caused by factor magnitude difference is avoided. On the basis, the vibration response of the actual double-layer cylindrical shell can be better reflected by utilizing the scaling principle and the similarity principle, so that errors in the traditional scaling model test are greatly reduced, and the precision and accuracy of the test result are improved.
In one embodiment, the transforming the parameters in the functional relation according to the dimensional analysis to obtain a scaling relation in which the strain quantity is a ratio of the vibration displacement response to the length of the shell, and the independent variable is dimensionless includes: converting the dependent variable in the functional relation from a vibration displacement response to a ratio of the vibration displacement response to the length of the shell; and determining the proportionality coefficient of each independent variable in the functional relation by taking the shell density, the shell Young modulus and the shell length as basic quantities, and expressing the new independent variable as the product of the original independent variable and the corresponding proportionality coefficient to obtain the scaling relation. The density and young's modulus of the inner shell may be taken, or the density and young's modulus of the outer shell may be taken, which may specifically be exemplified in step 102, and will not be described herein.
In one embodiment, according to the scaling relation, a conversion relation between each control parameter of the double-layer cylindrical shell and a control parameter corresponding to the scaling model is obtained based on a similarity law, and the method includes: based on a similarity law, the variable of the scaling relation about the double-layer cylindrical shell and the variable about the scaling model are respectively and correspondingly equal to obtain the conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model, wherein the variable comprises an independent variable and an independent variable. Specifically, the step 103 may be taken as an example, and the final conversion relationship is shown in formula (5), which is not described herein.
In one embodiment, the control parameters include: moment of inertia, natural frequency, excitation force, shell length, outer diameter, shell thickness, inner shell thickness, outer shell density, inner shell density, outer shell young's modulus, inner shell young's modulus, outer shell poisson's ratio, inner shell poisson's ratio, annular rib cross-sectional area, outer shell modal loss factor, and inner shell modal loss factor. The specific example of step 101 is omitted here.
In one embodiment, the obtaining the vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation includes: after obtaining the inner shell vibration displacement response simulated by the scaling model, obtaining the inner shell vibration displacement response of the double-layer cylindrical shell based on the conversion relation; and according to the similarity principle of the inner shell and the outer shell, obtaining the vibration displacement response of the outer shell of the double-layer cylindrical shell according to the vibration displacement response of the inner shell of the double-layer cylindrical shell.
Fig. 3 is a second flow chart of the method for simulating vibration response of a double-layer cylindrical shell according to the present invention, as shown in fig. 3, step 104 includes steps 1041 and 1042. Considering that the vibration response of the inner shell and the outer shell is similar in the middle-low frequency range, the vibration response of the outer shell of the scaling model can be obtained through the vibration response of the inner shell of the scaling model, and the vibration response of the whole scaling model can be obtained.
The ratio of the vibration response of the scaling model designed by the dimension analysis method to the vibration response of the prototype double-layer cylindrical shell is equal to the scaling factor, and the vibration response of the scaling model can be obtained through the vibration response of the inner shell of the scaling model in the middle-low frequency range, so that the vibration response of the inner shell of the large double-layer cylindrical shell structure can be obtained through the vibration response of the inner shell of the double-layer cylindrical shell scaling model when the vibration response of the middle-low frequency range is required.
Considering that the inner and outer shells of the double-layer cylindrical shell have vibration response similarity at medium and low frequencies, the vibration displacement of the inner and outer shells of the double-layer cylindrical shell is obtained through simulation, and then the vibration response similarity coefficient of the inner and outer shells is obtained by utilizing the similarity judgment standard, namely the vibration response similarity coefficient of the inner and outer shells is close to 1, namely the vibration response of the inner and outer shells of the double-layer cylindrical shell is similar.
According to the simulation method for the vibration response of the double-layer cylindrical shell, a double-layer cylindrical shell scaling model is constructed through a scaling method, and the vibration response of the double-layer cylindrical shell scaling model is simplified into the vibration response of the inner shell of the double-layer cylindrical shell by utilizing the similarity of the vibration response of the inner shell and the outer shell, namely the vibration response of a prototype double-layer cylindrical shell structure is simplified into the vibration response of the inner shell of the scaling model. The simplified method can improve the calculation efficiency and reduce the experiment difficulty and cost.
The double-layer cylindrical shell vibration response simulation method provided by the invention can be suitable for vibration response tests of large-scale cylindrical shell structures, such as petrochemical equipment: vibration response tests of large-scale equipment such as a storage tank, a reactor, a distillation tower, a heat exchanger and the like are carried out so as to ensure safe and reliable operation of the large-scale equipment; underwater combat equipment: vibration response test of large-scale equipment such as a submersible and a deep submersible is carried out, so that the operation efficiency and the safety of the submersible and the deep submersible are improved; building engineering: vibration response tests of structures such as high-rise buildings, large-scale conference centers and the like are carried out so as to ensure the shock resistance and the safety of the buildings; rocket engineering: the structure of the rocket, the liquid fuel storage tank and the like are tested in a vibration response mode so as to ensure the safety and stability of the rocket in the process of launching and running, so that the method provided by the invention has wide applicability and universality.
The following is illustrated by way of example:
The specific structural parameters of the existing double-layer cylindrical shell structure are shown in fig. 4. A double-layer cylindrical shell finite element model built using virtual. The quadrilateral grids are adopted for grid division, the grid size is about 20mm, the outer surface of the external envelope grid is defined as an Adaptive Matching (AML) layer, the structural grid quantity of the original model is 11882, and the acoustic grid quantity is 239604.
The inner and outer shells of the double-layer cylindrical shell are made of aluminum, the density of the double-layer cylindrical shell is 2710kg/m 3, the elastic modulus of the double-layer cylindrical shell is 70GPa, the Poisson's ratio of the double-layer cylindrical shell is 0.34, air is simplified into an ideal medium, no dissipation exists when sound waves propagate in the double-layer cylindrical shell, and the sound velocity and the density of the air are respectively set to be 340m/s and 1.225kg/m3.
An excitation force of 20N was applied at an axially intermediate position of the inner shell of the annular rib sandwich cylindrical shell, radially outwardly of the cylindrical shell, as shown in fig. 6. And defining a sound-vibration coupling relation by using a structural grid and a sound grid of the contact position of the double-layer cylindrical shell and air, and calculating the wall vibration response of the double-layer cylindrical shell by adopting a vibration response calculation method based on a mode.
And (5) referring to the original double-layer cylindrical shell model, and establishing a model with a 1/2 scaling ratio. According to a similar principle, setting control parameters for determining vibration response, obtaining a scaling formula of the double-layer cylindrical shell, and designing a scaling model according to the scaling formula. From the formula (5), the excitation force F m =0.5f, the vibration frequency m =2·, the outer diameter R m =0.5r, and the structure thickness of the scaling model are knownAnd/>Annular rib cross-sectional area a m =0.25a. Repeating the steps, and calculating the wall vibration response of the scaling model by adopting a vibration response calculation method based on modes.
The measuring points are respectively measuring point 1 and measuring point 2 at the axial middle positions of the inner shell and the outer shell of the prototype double-layer cylindrical shell, the excitation point and the two measuring points are positioned on the same horizontal plane, the connecting line passes through the center of a circle, the excitation point and the measuring point 1 on the inner shell are symmetrical about the center of the circle, and the positions of the two measuring points are shown on the right side of fig. 6. The 1/2 scale model and the prototype have the same measuring point positions, namely measuring point 1 'and measuring point 2'.
And extracting measuring point displacement results of the original model and the scaling model for vibration response similarity analysis, wherein the frequency range of the original model is 50-500Hz, and the frequency range of the scaling model is 100-1000Hz.
The vibration displacement response results are converted into vibration acceleration level response results to be plotted as shown in fig. 7 to 8. And the observation shows that the trend of the response result curve of the vibration acceleration level of the prototype is consistent with that of the vibration acceleration level of the 1/2 scale model, and the prototype shows better vibration response similarity.
TABLE 1 comparison of prototype and model vibration displacement responses
And extracting vibration displacement response results of the prototype and the corresponding frequency of the part of the measuring point on the 1/2 scaling model, dividing the vibration displacement response result of the scaling model by the prototype vibration displacement response result of the corresponding frequency to obtain a similarity ratio as shown in table 1. As can be seen from the table, the similarity ratio is close to 1/2, and the vibration response of the scaling model and the original model can be obtained.
On the scaling model, respectively extracting two groups of vibration responses of nodes at positions corresponding to the inner and outer shells, wherein A 1B1 is one group, A 2B2 is one group, the positions of the nodes are shown in fig. 9, and similarity coefficients alpha of the vibration responses at different axial positions of the inner and outer shells are calculated:
Wherein: and ψ Inner part is the vibration displacement vector of the vibration point of the inner shell, ψ Outer part is the vibration displacement vector of the vibration point of the outer shell, ψ Inner part and ψ Outer part are all column vectors of 3n×1, and n is the number of nodes. When the inner products of the phi Inner part and the phi Outer part are made, the corresponding nodes are two nodes with the same positions in the axial direction and the circumferential direction of the inner shell, and the displacement vectors of the corresponding nodes are arranged according to the sequence of x, y and z.
The results of the vibration response similarity coefficients for the 2 sets of nodes are plotted in the graph as shown in fig. 10. From the graph, the similarity coefficient of the two groups of nodes is close to 1, namely the vibration response of the inner shell is similar.
So we can get the vibration response of the outer shell of the scaling model through the vibration response of the inner shell of the scaling model, and the ratio of the vibration response of the scaling model to the vibration response of the prototype double-layer cylindrical shell is equal to the scaling factor 1/2, i.e. the vibration response of the prototype double-layer cylindrical shell can be deduced through the vibration response of the inner shell of the scaling model.
The description of the double-layer cylindrical shell vibration response simulation device provided by the invention is provided below, and the double-layer cylindrical shell vibration response simulation device and the double-layer cylindrical shell vibration response simulation method described above can be correspondingly referred to each other.
Fig. 11 is a schematic structural diagram of a dual-layer cylindrical shell vibration response simulator according to the present invention, as shown in fig. 11, the dual-layer cylindrical shell vibration response simulator includes: an input module 1101, a processing module 1102, a conversion module 1103 and an output module 1104. The input module 1101 is configured to determine a functional relationship of the vibration displacement response model of the double-layer cylindrical shell, where an argument in the functional relationship is a vibration displacement response control parameter; the processing module 1102 is configured to transform parameters in the functional relation according to dimension analysis, so as to obtain a scaling relation in which the dependent variable is a ratio of vibration displacement response to the length of the shell and the independent variable is dimensionless; the conversion module 1103 is configured to obtain a conversion relationship between each control parameter of the double-layer cylindrical shell and a control parameter corresponding to the scaling model based on a similarity law according to the scaling relationship; the output module 1104 is configured to obtain a control parameter of the scaling model for vibration response simulation according to the actual control parameter of the double-layer cylindrical shell and the conversion relationship, and obtain a vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relationship.
The embodiment of the device provided by the embodiment of the present invention is for implementing the above embodiments of the method, and specific flow and details refer to the above embodiments of the method, which are not repeated herein.
The implementation principle and the generated technical effects of the double-layer cylindrical shell vibration response simulation device provided by the embodiment of the invention are the same as those of the double-layer cylindrical shell vibration response simulation method embodiment, and for the sake of brief description, reference can be made to corresponding contents in the double-layer cylindrical shell vibration response simulation method embodiment where the part of the double-layer cylindrical shell vibration response simulation device embodiment is not mentioned.
Fig. 12 is a schematic structural diagram of an electronic device according to the present invention, and as shown in fig. 12, the electronic device may include: a processor 1201, a communication interface (Communications Interface) 1202, a memory 1203 and a communication bus 1204, wherein the processor 1201, the communication interface 1202 and the memory 1203 complete communication with each other through the communication bus 1204. The processor 1201 may invoke logic instructions in the memory 1203 to perform a dual layer cylindrical shell vibration response modeling method comprising: determining a functional relation of a double-layer cylindrical shell vibration displacement response model, wherein independent variables in the functional relation are vibration displacement response control parameters; transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation in which the dependent variable is the ratio of vibration displacement response to the length of the shell and the independent variable is dimensionless; according to the scaling relation, obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on a similarity law; and obtaining control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation.
Further, the logic instructions in the memory 1203 described above may be implemented in the form of software functional units and may be stored in a computer readable storage medium when sold or used as a stand alone product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution, in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a usb disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (RAM, random Access Memory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.
In another aspect, the present invention also provides a computer program product, the computer program product comprising a computer program, the computer program being storable on a non-transitory computer readable storage medium, the computer program, when executed by a processor, being capable of performing the double-layer cylindrical shell vibration response simulation method provided by the above methods, the method comprising: determining a functional relation of a double-layer cylindrical shell vibration displacement response model, wherein independent variables in the functional relation are vibration displacement response control parameters; transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation in which the dependent variable is the ratio of vibration displacement response to the length of the shell and the independent variable is dimensionless; according to the scaling relation, obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on a similarity law; and obtaining control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation.
In yet another aspect, the present invention also provides a non-transitory computer readable storage medium having stored thereon a computer program which, when executed by a processor, is implemented to perform the method of simulating a bi-layer cylindrical shell vibration response provided by the above methods, the method comprising: determining a functional relation of a double-layer cylindrical shell vibration displacement response model, wherein independent variables in the functional relation are vibration displacement response control parameters; transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation in which the dependent variable is the ratio of vibration displacement response to the length of the shell and the independent variable is dimensionless; according to the scaling relation, obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on a similarity law; and obtaining control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation.
The apparatus embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present invention without undue burden.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.
Claims (10)
1. A method of simulating a vibrational response of a double cylindrical shell comprising:
Determining a functional relation of a double-layer cylindrical shell vibration displacement response model, wherein independent variables in the functional relation are vibration displacement response control parameters;
transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation in which the dependent variable is the ratio of vibration displacement response to the length of the shell and the independent variable is dimensionless;
According to the scaling relation, obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on a similarity law;
obtaining control parameters of a scaling model for vibration response simulation according to actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to vibration displacement response simulated by the scaling model based on the conversion relation;
The functional relationship includes:
U＝f(I,ω,F,L,R,h1,h2,ρ1,ρ2,E1,E2,σ1,σ2,A,ηs1,ηs2);
Correspondingly, the scaling relation is:
The conversion relation is as follows:
The relationship between the vibration displacement response simulated by the scaling model and the vibration displacement response of the double-layer cylindrical shell is as follows:
Um＝αU
Wherein U represents a vibration displacement response, I represents a moment of inertia, ω represents a natural frequency, F represents an excitation force, L represents a shell length, R represents an outer diameter, h 1 represents an outer shell thickness, h 2 represents an inner shell thickness, ρ 1 represents an outer shell density, ρ 2 represents an inner shell density, E 1 represents an outer shell Young's modulus, E 2 represents an inner shell Young's modulus, σ 1 represents an outer shell Poisson's ratio, σ 2 inner shell Poisson's ratio, A represents a circumferential rib cross-sectional area, Representing the shell modal loss factor,/>Representing an inner shell modal loss factor; subscript m represents a corresponding parameter in the scaling model,/>
2. The method of claim 1, wherein the transforming the parameters in the functional relation according to the dimensional analysis to obtain a scaling relation in which the strain quantity is a ratio of the vibration displacement response to the length of the shell and the independent variable is dimensionless comprises:
Converting the dependent variable in the functional relation from a vibration displacement response to a ratio of the vibration displacement response to the length of the shell;
And determining the proportionality coefficient of each independent variable in the functional relation by taking the shell density, the shell Young modulus and the shell length as basic quantities, and expressing the new independent variable as the product of the original independent variable and the corresponding proportionality coefficient to obtain the scaling relation.
3. The method for simulating vibration response of a double-layer cylindrical shell according to claim 1, wherein obtaining a conversion relation between each control parameter of the double-layer cylindrical shell and a control parameter corresponding to a scaling model based on a similarity law according to the scaling relation comprises:
based on a similarity law, the variable of the scaling relation about the double-layer cylindrical shell and the variable about the scaling model are respectively and correspondingly equal to obtain the conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model, wherein the variable comprises an independent variable and an independent variable.
4. The method of claim 1, wherein the control parameters include:
Moment of inertia, natural frequency, excitation force, shell length, outer diameter, shell thickness, inner shell thickness, outer shell density, inner shell density, outer shell young's modulus, inner shell young's modulus, outer shell poisson's ratio, inner shell poisson's ratio, annular rib cross-sectional area, outer shell modal loss factor, and inner shell modal loss factor.
5. The method for simulating the vibration response of the double-layer cylindrical shell according to claim 1, wherein the obtaining the vibration displacement response of the double-layer cylindrical shell based on the conversion relation according to the vibration displacement response simulated by the scaling model comprises the following steps:
After obtaining the vibration displacement response of the inner shell simulated by the scaling model, obtaining the vibration displacement response of the inner shell of the double-layer cylindrical shell based on the conversion relation;
and according to the similarity principle of the inner shell and the outer shell, obtaining the vibration displacement response of the outer shell of the double-layer cylindrical shell according to the vibration displacement response of the inner shell of the double-layer cylindrical shell.
6. A double-layer cylindrical shell vibration response simulation device, comprising:
the input module is used for determining a functional relation of the vibration displacement response model of the double-layer cylindrical shell, wherein independent variables in the functional relation are vibration displacement response control parameters;
The processing module is used for transforming parameters in the functional relation according to dimension analysis to obtain a scaling relation with the dependent variable being the ratio of vibration displacement response to the length of the shell and the independent variable being dimensionless;
The conversion module is used for obtaining the conversion relation between each control parameter of the double-layer cylindrical shell and the corresponding control parameter of the scaling model based on the similarity law according to the scaling relation;
the output module is used for obtaining control parameters of the scaling model for vibration response simulation according to the actual control parameters of the double-layer cylindrical shell and the conversion relation, and obtaining vibration displacement response of the double-layer cylindrical shell according to the vibration displacement response simulated by the scaling model based on the conversion relation;
The functional relationship includes:
U＝f(I,ω,F,L,R,h1,h2,ρ1,ρ2,E1,E2,σ1,σ2,A,ηs1,ηs2);
Correspondingly, the scaling relation is:
The conversion relation is as follows:
The relationship between the vibration displacement response simulated by the scaling model and the vibration displacement response of the double-layer cylindrical shell is as follows:
Um＝αU
Wherein U represents a vibration displacement response, I represents a moment of inertia, ω represents a natural frequency, F represents an excitation force, L represents a shell length, R represents an outer diameter, h 1 represents an outer shell thickness, h 2 represents an inner shell thickness, ρ 1 represents an outer shell density, ρ 2 represents an inner shell density, E 1 represents an outer shell Young's modulus, E 2 represents an inner shell Young's modulus, σ 1 represents an outer shell Poisson's ratio, σ 2 inner shell Poisson's ratio, A represents a circumferential rib cross-sectional area, Representing the shell modal loss factor,/>Representing an inner shell modal loss factor; subscript m represents a corresponding parameter in the scaling model,/>
7. The double-layer cylindrical shell vibration response simulator of claim 6, wherein the processing module is specifically configured to:
Converting the dependent variable in the functional relation from a vibration displacement response to a ratio of the vibration displacement response to the length of the shell;
And determining the proportionality coefficient of each independent variable in the functional relation by taking the shell density, the shell Young modulus and the shell length as basic quantities, and expressing the new independent variable as the product of the original independent variable and the corresponding proportionality coefficient to obtain the scaling relation.
8. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the double-layer cylindrical shell vibration response simulation method according to any one of claims 1 to 5 when the program is executed by the processor.
9. A non-transitory computer readable storage medium having stored thereon a computer program, wherein the computer program when executed by a processor implements the double-layer cylindrical shell vibration response simulation method according to any one of claims 1 to 5.
10. A computer program product comprising a computer program, characterized in that the computer program, when executed by a processor, implements the double-layered cylindrical shell vibration response simulation method according to any one of claims 1 to 5.
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