CN117688815A - Deep sea compressive structural strength calculation method considering creep characteristic influence - Google Patents
Deep sea compressive structural strength calculation method considering creep characteristic influence Download PDFInfo
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Abstract
The application discloses a deep sea pressure-resistant structure strength calculation method considering creep characteristic influence, and relates to the technical field of deep sea. According to the method, the quantification consideration of creep factors in strength calculation is realized by applying a superposition amplitude method, and the application of creep deformation to the geometric shape of the deep sea pressure-resistant structure can consider the accumulated influence of creep characteristics caused by long-term service and multiple diving of the deep sea pressure-resistant structure when the structural strength is calculated, so that an accurate structural strength evaluation result is obtained.
Description
Technical Field
The application relates to the technical field of deep sea, in particular to a method for calculating the strength of a deep sea pressure-resistant structure by considering the influence of creep characteristics.
Background
The deep sea pressure-resistant structures such as manned submersible and deep sea space stations are key structures for guaranteeing the safety of deep sea equipment personnel and maintaining the normal operation of core equipment, and the titanium alloy material has the advantages of low density, high strength, high specific strength, good seawater corrosion resistance, sound permeability and no magnetism and is very suitable for deep sea environments, so that the titanium alloy material becomes an important application material of the current deep sea pressure-resistant structure, and can meet the requirements of safety and light weight of the deep sea pressure-resistant structure.
With the increase of the working depth of the deep sea pressure-resistant structure, the comprehensive performance requirement of the deep sea pressure-resistant structure is synchronously improved, and the design calculation and evaluation of the performances such as the strength of the deep sea pressure-resistant structure are key bases and solid guarantees for guaranteeing the safety of the deep sea pressure-resistant structure. However, the titanium alloy material may generate creep problem under the deep sea high pressure complex environment, unlike the creep caused by tensile load of the titanium alloy structure in the aviation field under high temperature, middle and low stress level, the creep of the deep sea pressure resistant structure of the titanium alloy material in the deep sea environment is generated by compressive load under normal temperature, the deep sea pressure resistant structure bears high stress state, and the local area stress is close to the yield strength of the material. In the long-term service process of the deep sea pressure-resistant structure, creep can influence the geometric dimension and stress state of the titanium alloy deep sea pressure-resistant structure, thereby influencing the strength of the deep sea pressure-resistant structure. However, the influence of the creep characteristic is not considered in the current evaluation of the strength of the deep sea pressure-resistant structure, so that the structural strength evaluation is not accurate enough, and the safety of the deep sea pressure-resistant structure is influenced.
Disclosure of Invention
Aiming at the problems and the technical requirements, the application provides a deep sea compressive structural strength calculation method considering the influence of creep characteristics, and the technical scheme of the application is as follows:
a method for calculating the compressive structural strength of a deep sea in consideration of the influence of creep characteristics comprises the following steps:
calculating creep deformation parameters accumulated and generated in a historical submerged task of the current submerged task by the deep sea pressure-resistant structure;
applying the creep deformation parameters to the geometric model of the deep sea pressure-resistant structure by using a superposition amplitude method to obtain an updated geometric model;
and calculating the structural strength of the deep sea pressure-resistant structure in the current diving task based on the updated geometric model.
The further technical scheme is that the calculation of creep deformation parameters accumulated in the historical submerged task of the deep sea pressure-resistant structure comprises the following steps:
and calculating creep deformation parameters generated by the ith submerged task based on the geometric model in the ith submerged task, and obtaining the creep deformation parameters accumulated and generated in the historical submerged tasks of the (i+1) submerged task in an iterative accumulation and update mode, wherein i is the submerged times and the initial value is 1.
The further technical scheme is that the method for realizing structural strength calculation by means of iterative accumulated update comprises the following steps:
initializing the submergence times i=1, and taking an initialized geometric model of the deep sea pressure-resistant structure as a geometric model in the first submergence task;
calculating the structural strength of the deep sea pressure-resistant structure in the first submerging task based on the geometric model in the first submerging task;
calculating creep deformation parameters generated by the ith submerged task based on a geometric model of the ith submerged task of the deep sea pressure-resistant structure;
applying a superposition amplitude method to apply creep deformation parameters generated by the ith submerged task to a geometric model of the deep sea pressure-resistant structure in the ith submerged task, and updating to obtain the geometric model in the (i+1) th submerged task;
and calculating the structural strength of the deep sea pressure-resistant structure in the ith+1th submerging task based on the geometric model in the ith+1th submerging task, enabling i=i+1, and executing the step of calculating the creep deformation parameters generated by the ith submerging task based on the geometric model in the ith submerging task of the deep sea pressure-resistant structure again.
The method for applying the superposition amplitude method to apply the creep deformation parameters generated by the ith submerged task to the geometric model of the deep sea pressure-resistant structure in the ith submerged task comprises the following steps:
superposing the maximum radial displacement increment contained in the creep deformation parameter generated by the ith diving task with the ith iteration maximum creep deformation amplitude to obtain an ith iteration maximum creep deformation amplitude, wherein the 0 th iteration maximum creep deformation amplitude is an initial value;
and updating the geometric model in the ith diving task according to the ith iteration maximum creep deformation amplitude to obtain the geometric model in the (i+1) th diving task.
The method further comprises the following steps of updating a geometric model in the ith submerged task according to the maximum creep deformation amplitude of the ith submerged task:
and calculating an ith structural displacement amplification coefficient according to the maximum creep deformation amplitude of the ith submerged task, and updating the geometric model during the ith submerged task according to the ith structural displacement amplification coefficient to obtain the geometric model during the (i+1) th submerged task.
The method for calculating the creep deformation parameters generated by the ith diving task based on the geometric model of the ith diving task of the deep sea pressure-resistant structure comprises the following steps:
and carrying out creep solving by taking the corrected time hardening model as a creep constitutive equation and combining working condition parameters of the ith submerged task and creep coefficients of materials used by the deep sea pressure-resistant structure to obtain maximum radial displacement after creep, and subtracting the radial displacement before creep from the maximum radial displacement after creep to obtain maximum radial displacement increment.
The further technical scheme is that the structural strength calculating method further comprises the following steps:
based on a design geometric model of the deep sea pressure-resistant structure, determining a buckling mode which bears the least favorable order on the deep sea pressure-resistant structure as a defect buckling mode through finite element analysis;
updating the design geometric model of the deep sea pressure-resistant structure by using waveforms corresponding to the defect buckling modes to obtain an initialization geometric model of the deep sea pressure-resistant structure.
The further technical scheme is that the 0 th iteration maximum creep deformation amplitude is the amplitude of the waveform corresponding to the defect buckling mode.
The further technical scheme is that the buckling mode which is determined to bear the least favorable order on the deep sea pressure-resistant structure through finite element analysis is taken as a defect buckling mode and comprises the following steps:
characteristic value buckling analysis is carried out based on a design geometric model of the deep sea pressure-resistant structure, and waveforms of the front 6 th-order buckling modes are extracted through a finite element analysis method;
updating the design geometric model of the deep sea pressure-resistant structure by the waveform of each stage of buckling mode to obtain a test geometric model of each stage of buckling mode, calculating the ultimate bearing capacity by using an arc length method based on the test geometric model of each stage of buckling mode, and determining the buckling mode corresponding to the lowest ultimate bearing capacity as a defect buckling mode.
The further technical scheme is that the structural strength calculating method further comprises the following steps:
and comparing the structural strength of the deep sea pressure-resistant structure when the deep sea pressure-resistant structure is submerged for different times, and determining the influence of creep characteristics on the strength of the deep sea pressure-resistant structure.
The beneficial technical effects of this application are:
the application discloses a deep sea pressure-resistant structure strength calculation method considering creep characteristic influence, which creatively provides a superposition amplitude method in the aspect of creep deformation treatment, and realizes the quantitative consideration of creep factors in strength calculation by using the superposition amplitude method, thereby realizing the application of creep deformation to the geometric shape of the deep sea pressure-resistant structure, being capable of considering the influence of creep characteristic when calculating the structural strength, and considering the accumulated creep influence caused by long-term service and multiple diving of the deep sea pressure-resistant structure, thereby obtaining an accurate structural strength evaluation result and meeting the analysis of the influence of creep characteristic on the structural strength under the long-term service condition provided by the deep sea pressure-resistant structure such as a deep sea manned submersible, a deep sea space station and the like.
The method also considers the initial defects generated by the construction of the structure, further improves the accuracy of structural strength evaluation, and expands the application range of the deep sea compressive structural strength calculation method.
Drawings
FIG. 1 is a method flow diagram of a method of calculating structural strength in accordance with one embodiment of the present application.
Fig. 2 is a method flow diagram of a method of calculating structural strength according to another embodiment of the present application.
FIG. 3 is a waveform schematic of an example of an extracted 1-6 th order buckling mode.
Fig. 4 is a cloud image of the structural strength of the calculated deep sea pressure resistant structure at the first submergence mission in one example.
FIG. 5 is a graph of creep strain clouds of the calculated deep sea pressure resistant structure in a first and second submersion tasks.
FIG. 6 is a graph of creep strain versus time for a typical node extracted from the first submerged task for the deep sea pressure structure of the example of FIG. 5.
Fig. 7 is a stress-time variation curve of a typical node extracted from the first submerged task of the deep sea pressure-resistant structure in the example of fig. 5.
Detailed Description
The following describes the embodiments of the present application further with reference to the accompanying drawings.
The application discloses a deep sea compressive structural strength calculation method considering creep characteristic influence, which comprises the following steps:
the deep sea pressure-resistant structure often needs to execute the submerging tasks for many times in the service process, and the deep sea pressure-resistant structure can be subjected to the compression load of the sea water to generate creep deformation when executing each submerging task, and the creep deformation can generate an accumulation effect along with the increase of the submerging times. Therefore, creep deformation parameters which are accumulated and generated in the historical submerged task of the current submerged task of the deep sea pressure-resistant structure are calculated, and then the creep deformation parameters are applied to the geometric model of the deep sea pressure-resistant structure by the superposition amplitude method, so that the updated geometric model is obtained. And finally, calculating the structural strength of the deep sea pressure-resistant structure in the current submergence task based on the updated geometric model. Therefore, the creep characteristic influence can be considered when the structural strength is calculated, and the accuracy of the calculated structural strength is improved.
In an actual scene, creep deformation parameters accumulated and generated in historical diving tasks are difficult to realize and the accuracy is not high, so that the diving times i are defined as 1. When the creep deformation parameters accumulated and generated in the historical submerged tasks of any (i+1) th submerged task are determined, the creep deformation parameters generated in the (i) th submerged task are actually calculated based on the geometric model in the process of the (i) th submerged task, and then the creep deformation parameters accumulated and generated in the historical submerged tasks of the (i+1) th submerged task are obtained through an iterative accumulation updating mode. Based on the design concept, the iterative process of the structural strength calculation method of the present application includes the following steps, please refer to the flowchart of fig. 1:
step 1, initializing the number of diving i=1.
And 2, taking the initialized geometric model of the deep sea pressure-resistant structure as the geometric model in the first submerging task.
In one embodiment, the initialization geometric model of the deep sea pressure resistant structure is a design geometric model of the deep sea pressure resistant structure determined according to geometric design parameters.
In consideration of the influence of errors and the like caused by the processing technology, the deep sea pressure-resistant structure which is actually built does not have the same geometric design parameters, namely the structure is built to actually introduce initial defects. In another embodiment, in order to take such initial defects into account, the design geometry model is not directly used as the initialization geometry model, but the initialization geometry model is obtained as follows, please refer to the flowchart shown in fig. 2:
(1) Based on a design geometric model of the deep sea pressure-resistant structure, determining a buckling mode which bears the least favorable order on the deep sea pressure-resistant structure as a defect buckling mode through finite element analysis. Comprising the following steps:
characteristic value buckling analysis is carried out based on a design geometric model of the deep sea pressure-resistant structure, 1-6 orders of buckling modes are selected according to the specification in the diving System and diving device class Specification of China class society, the characteristic value extraction number and the mode expansion number are set to be 6, and waveforms of the previous 6 orders of buckling modes are extracted through a finite element analysis method. In one example, waveforms of the 1-6-order buckling modes obtained by extraction are shown in (a) to (f) of fig. 3, respectively.
And (3) taking the previous 6-order buckling modes as a reference, applying initial defects corresponding to the respective modes, namely updating the design geometric model of the deep sea pressure-resistant structure by using the waveform of each order buckling mode to obtain the test geometric model of each order buckling mode. And then calculating the ultimate bearing capacity by using an arc length method based on a test geometric model of each stage of buckling modes, and determining the buckling mode corresponding to the lowest ultimate bearing capacity as a defective buckling mode. According to experience, when the ultimate bearing capacity is calculated by using an arc length method, the load sub-number and the arc length factor in nonlinear calculation have influence on calculation accuracy, the load sub-number is not less than 50, and the arc length factor is set to be L.
In one example, the calculated ultimate load capacities for the 1-6 order buckling modes are shown in the following table, from which it can be determined that the 5 th order buckling mode is selected as the defective buckling mode in this example.
(2) Updating the design geometric model of the deep sea pressure-resistant structure by using waveforms corresponding to the defect buckling modes to obtain an initialization geometric model of the deep sea pressure-resistant structure.
And step 3, calculating the structural strength of the deep sea pressure-resistant structure in the first submerging task based on the geometric model in the first submerging task.
Because the deep sea pressure-resistant structure does not execute the submerging task before the first submerging task, the deep sea pressure-resistant structure is not subjected to the compression load of the sea water in the historical submerging task, the deep sea pressure-resistant structure does not generate creep deformation before the first submerging task, the influence of creep characteristics is not needed to be considered, and the structural strength is directly calculated by the initialized geometric model of the deep sea pressure-resistant structure.
The specific method for calculating the structural strength based on the geometric model is the prior art, the structural strength obtained by carrying out structural strength calculation extraction comprises stress parameters, strain parameters and displacement characteristic parameters of the deep sea pressure-resistant structure, the stress parameters comprise main stress, circumferential stress and equivalent stress, the strain parameters comprise main strain and equivalent strain, the displacement characteristic parameters comprise synthetic displacement and radial displacement, and the radial displacement can be divided into elastic radial displacement, total radial displacement and the like.
In one example, the structural strength of the resulting deep sea pressure resistant structure at the first submerged task includes a third principal stress as shown in fig. 4 (a), a circumferential stress as shown in fig. 4 (b), an elastic third principal strain as shown in fig. 4 (c), an equivalent elastic strain as shown in fig. 4 (d), a resultant displacement as shown in fig. 4 (e), and a radial displacement as shown in fig. 4 (f).
And 4, calculating creep deformation parameters generated by the ith submerged task based on the geometric model of the ith submerged task of the deep sea pressure-resistant structure.
The deep sea pressure-resistant structure is already affected by creep characteristics when the first submerged task is completed, so that from i=1, each submerged task can generate a corresponding creep deformation parameter, and the method for calculating the creep deformation parameter generated by the ith submerged task comprises the following steps:
and carrying out creep solving by taking the corrected time hardening model as a creep constitutive equation and combining the working condition parameters of the ith submerged task and the creep coefficient of the material used by the deep sea pressure-resistant structure, wherein the working condition parameters of each submerged task comprise the submerged target pressure and working time, and in addition, a loading mode and step length adjustment are required to be set when the creep solving is carried out. The specific method for developing the creep solution is that in the prior art, the maximum radial displacement after creep can be obtained after the creep solution is developed, the maximum radial displacement increment is obtained by subtracting the radial displacement before creep from the maximum radial displacement after creep, and the creep deformation parameter generated by the ith submergence task comprises the maximum radial displacement increment. For example, in one example, the maximum radial displacement after transformation is 3.84602, the radial displacement before creep is 3.64455, and the maximum radial displacement increment is 0.20147.
In one embodiment, a creep strain cloud chart obtained by performing creep solution based on a geometric model during the first submerged task is shown in (a) of fig. 5, a creep strain time-dependent curve of a typical node is shown in fig. 6, a stress time-dependent curve is shown in fig. 7, it is known from fig. 6 and fig. 7 that the creep strain and the stress of the typical node show a law of change of a power law, and the variation trend is the same as that of a modified time-strengthening model creep constitutive equation.
And 5, applying a superposition amplitude method to apply creep deformation parameters generated by the ith submerged task to the geometric model of the deep sea pressure-resistant structure in the ith submerged task, and updating to obtain the geometric model in the (i+1) th submerged task. Comprising the following steps:
and superposing the maximum radial displacement increment contained in the creep deformation parameter generated by the ith diving task with the ith iteration maximum creep deformation amplitude to obtain the ith iteration maximum creep deformation amplitude. That is, the maximum creep deformation amplitude is updated and determined by means of iterative cumulative updating, wherein the 0 th iterative maximum creep deformation amplitude is an initial value, and when the design geometric model is directly used as the initialized geometric model, the 0 th iterative maximum creep deformation amplitude can be set to be 0; when the design geometric model is updated by the waveform corresponding to the defect buckling mode as an initialization geometric model, the amplitude of the waveform corresponding to the defect buckling mode is used as the 0 th iteration maximum creep deformation amplitude.
And then updating the geometric model in the ith submerging task according to the ith iteration maximum creep deformation amplitude to obtain the geometric model in the (i+1) th submerging task. The method comprises the step of calculating an ith structural displacement amplification coefficient according to the maximum creep deformation amplitude of an ith submergence task, wherein the calculation method is in the prior art. And then updating the geometric model in the ith submerging task according to the ith structural displacement amplification factor to obtain the geometric model in the (i+1) th submerging task.
And 6, calculating the structural strength of the deep sea pressure-resistant structure in the i+1th submerging task based on the geometric model in the i+1th submerging task. The specific structural strength calculation method in the step is the same as that in the step 3, namely the structural strength calculation method of each submerging task is the same, the parameter types of the calculated structural strength are the same, and the geometric model of each submerging task is iteratively updated by considering the creep characteristic influence.
Step 7, let i=i+1 and again step 4-step 6 perform the structural strength calculation of the next submerging task. Therefore, the structural strength of the deep sea pressure-resistant structure in different times of diving tasks can be calculated, the structural strength of the deep sea pressure-resistant structure in different times of diving tasks can be compared, and the influence of creep characteristics on the strength of the deep sea pressure-resistant structure can be determined by transverse comparison.
For example, in one example, a creep strain cloud obtained by performing creep solution based on a geometric model during the second submerged task is shown in fig. 5 (b), and a change in the creep strain cloud can be seen by comparing fig. 5 (a) and (b).
In one embodiment, the structural strength data calculated for 8 consecutive submergence tasks of the deep sea pressure structure is shown in the following table, the structural strength in this example including third principal stress, equivalent stress, stress along the weft, stress along the warp, elastic radial displacement, and total radial displacement:
what has been described above is only a preferred embodiment of the present application, which is not limited to the above examples. It is to be understood that other modifications and variations which may be directly derived or contemplated by those skilled in the art without departing from the spirit and concepts of the present application are to be considered as being included within the scope of the present application.
Claims (10)
1. The method for calculating the deep sea compressive structural strength by considering the influence of creep characteristics is characterized by comprising the following steps of:
calculating creep deformation parameters accumulated and generated in a historical submerged task of the current submerged task by the deep sea pressure-resistant structure;
applying the creep deformation parameters to the geometric model of the deep sea pressure-resistant structure by using a superposition amplitude method to obtain an updated geometric model;
and calculating the structural strength of the deep sea pressure-resistant structure in the current submergence task based on the updated geometric model.
2. The method of calculating structural strength according to claim 1, wherein calculating creep deformation parameters that are cumulatively generated in a historic submerged task for a deep sea pressure resistant structure comprises:
and calculating creep deformation parameters generated by the ith submerged task based on the geometric model in the ith submerged task, and obtaining the creep deformation parameters accumulated and generated in the historical submerged tasks of the (i+1) submerged task in an iterative accumulation and update mode, wherein i is the submerged times and the initial value is 1.
3. The method of calculating structural strength according to claim 2, wherein the calculating structural strength by means of iterative cumulative update comprises:
initializing the submergence times i=1, and taking an initialized geometric model of the deep sea pressure-resistant structure as a geometric model in the first submergence task;
calculating the structural strength of the deep sea pressure-resistant structure in the first submerging task based on a geometric model in the first submerging task;
calculating creep deformation parameters generated by the ith submerged task based on a geometric model of the ith submerged task of the deep sea pressure-resistant structure;
applying a superposition amplitude method to apply creep deformation parameters generated by the ith submerged task to a geometric model of the deep sea pressure-resistant structure in the ith submerged task, and updating to obtain the geometric model in the (i+1) th submerged task;
and calculating the structural strength of the deep sea pressure-resistant structure in the i+1th submerging task based on the geometric model in the i+1th submerging task, enabling i=i+1, and executing the step of calculating the creep deformation parameters generated by the i-th submerging task based on the geometric model in the i-th submerging task of the deep sea pressure-resistant structure again.
4. A structural strength calculation method according to claim 3, wherein applying the superimposed amplitude method to apply the creep deformation parameter generated by the ith submerged task to the geometric model of the deep sea pressure resistant structure at the ith submerged task comprises:
superposing the maximum radial displacement increment contained in the creep deformation parameter generated by the ith diving task with the ith iteration maximum creep deformation amplitude to obtain an ith iteration maximum creep deformation amplitude, wherein the 0 th iteration maximum creep deformation amplitude is an initial value;
and updating the geometric model in the ith diving task according to the ith iteration maximum creep deformation amplitude to obtain the geometric model in the (i+1) th diving task.
5. The method of calculating structural strength according to claim 4, wherein updating the geometric model at the ith submerged task according to the maximum creep deformation amplitude of the ith submerged task comprises:
and calculating an ith structural displacement amplification coefficient according to the maximum creep deformation amplitude of the ith submerged task, and updating the geometric model during the ith submerged task according to the ith structural displacement amplification coefficient to obtain the geometric model during the (i+1) th submerged task.
6. The method of calculating structural strength according to claim 4, wherein calculating creep deformation parameters generated by the ith submerged task based on the geometric model of the ith submerged task of the deep sea pressure resistant structure comprises:
and carrying out creep solving by taking the corrected time hardening model as a creep constitutive equation and combining working condition parameters of the ith submerged task and creep coefficients of materials used by the deep sea pressure-resistant structure to obtain maximum radial displacement after creep, and subtracting the radial displacement before creep from the maximum radial displacement after creep to obtain maximum radial displacement increment.
7. The structural strength calculation method according to claim 4, further comprising:
based on a design geometric model of the deep sea pressure-resistant structure, determining a buckling mode which bears the least favorable order on the deep sea pressure-resistant structure as a defect buckling mode through finite element analysis;
and updating the design geometric model of the deep sea pressure-resistant structure by using waveforms corresponding to the defect buckling modes to obtain the initialization geometric model of the deep sea pressure-resistant structure.
8. The method of claim 7, wherein the 0 th iteration maximum creep deformation amplitude is an amplitude of a waveform corresponding to the defective buckling mode.
9. The method of claim 7, wherein determining, by finite element analysis, a buckling mode that carries a least favorable order for the deep sea pressure resistant structure as a defective buckling mode comprises:
performing eigenvalue buckling analysis based on a design geometric model of the deep sea pressure-resistant structure, and extracting waveforms of a front 6-order buckling mode through a finite element analysis method;
and updating the design geometric model of the deep sea pressure-resistant structure by using the waveform of each stage of buckling mode to obtain a test geometric model of each stage of buckling mode, calculating the ultimate bearing capacity by using an arc length method based on the test geometric model of each stage of buckling mode, and determining the buckling mode corresponding to the lowest ultimate bearing capacity as a defect buckling mode.
10. The structural strength calculation method according to claim 1, characterized in that the structural strength calculation method further comprises:
and comparing the structural strength of the deep sea pressure-resistant structure in different times of submerging tasks, and determining the influence of creep characteristics on the strength of the deep sea pressure-resistant structure.
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