WO2018214657A1 - Equalisation technique for turbulent boundary layer load model - Google Patents
Equalisation technique for turbulent boundary layer load model Download PDFInfo
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- WO2018214657A1 WO2018214657A1 PCT/CN2018/082580 CN2018082580W WO2018214657A1 WO 2018214657 A1 WO2018214657 A1 WO 2018214657A1 CN 2018082580 W CN2018082580 W CN 2018082580W WO 2018214657 A1 WO2018214657 A1 WO 2018214657A1
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- the invention relates to the technical field of random surface pressure load model equivalent, and particularly relates to an equivalent technique of a turbulent boundary layer load model.
- test methods theoretical methods and numerical methods can be used to predict the dynamic response of the system under random noise excitation. Among them, the test method can obtain reliable results, but the cost of conducting test analysis is high, and the design cycle is long; the theoretical method is only applicable to simple systems, and it is difficult to solve the dynamic response prediction problem of complex systems; the numerical method can save design cost and shorten design Cycle is an effective aid to experimental analysis.
- the coherence length of the low frequency band is long and the coherence length of the high frequency band is short.
- the modal superposition method in the finite element method is used to analyze the random response of the structure in the turbulent boundary layer load excitation
- the coherence length of the turbulent boundary layer load is shortened as the analysis frequency increases, and the size of the finite element mesh is required to be smaller. This causes the amount of computation to grow geometrically. Therefore, in the higher frequency band, effective measures need to be taken to solve the problem of low efficiency of the above-mentioned turbulent boundary layer load model analysis, thereby shortening the design cycle and saving design cost.
- the present invention provides an equivalent technique for the turbulent boundary layer load model in view of the existing problems in the application of a turbulent boundary layer load model. It can effectively improve the efficiency of structural dynamic response simulation analysis under turbulent boundary layer load excitation.
- the turbulent boundary layer load model is equivalent to form an equivalent completely random surface pressure load model
- the turbulent boundary layer load model in the step (1) is:
- ⁇ x is the distance of the two points in the x-axis direction
- ⁇ y is the distance of the two points in the y-axis direction
- ⁇ is the angular frequency
- S 0 is the magnitude of the load power spectrum
- D x ⁇ x /k c
- U c 0.7U
- U is the incoming flow speed.
- the equivalent completely random surface pressure load model in the step (1) is:
- the applicable frequency range of the equivalent completely random surface pressure load model in the step (3) is f ⁇ f crit , and f crit is the critical frequency.
- the critical frequency is:
- f c is the consistency frequency
- E is the elastic modulus of the material
- ⁇ is the material density
- ⁇ is the material Poisson's ratio
- h is the thickness of the structural surface plate member.
- the equivalent technology of a turbulent boundary layer load model provided by the present invention is a technique for equivalenting a turbulent boundary layer load model to a completely random surface pressure load model, which can effectively reduce turbulent boundary layer load excitation
- the calculation of the dynamic response analysis of the lower structure shortens the design cycle and saves the design cost.
- Figure 1 is a logic flow diagram of the present invention
- Figure 2 is a schematic view of a rectangular simply supported plate
- Figure 3 is a schematic diagram of the displacement response power spectral density at point A on a rectangular simple plate.
- Figure 1 shows a logical flow diagram of an equivalent technique for a turbulent boundary layer load model, which mainly includes the following steps:
- Step (1) The turbulent boundary layer load model is equivalent to form an equivalent completely random surface pressure load model
- ⁇ x is the distance of the two points in the x-axis direction
- ⁇ y is the distance of the two points in the y-axis direction
- ⁇ is the angular frequency
- S 0 is the magnitude of the load power spectrum
- D x ⁇ x /k c
- U c 0.7U
- U is the incoming flow speed.
- Step (2) determining the magnitude C eq ( ⁇ ) of the equivalent correlation function of the equivalent completely random surface pressure load model, and determining the equivalent completely random surface pressure load model;
- Step (3) determining an applicable frequency range of the equivalent random surface pressure load model according to the structural model and the turbulent boundary layer load model; specifically:
- E is the elastic modulus of the material
- ⁇ is the material density
- ⁇ is the material Poisson's ratio
- h is the thickness of the structural surface plate member.
- a rectangular simple support plate is taken as an example to calculate the consistency frequency.
- the applicable frequency range of the equivalent fully random surface pressure load model is f ⁇ f crit , that is, when the analysis frequency f ⁇ 408 Hz, in this example, the equivalent complete randomness shown by equation (2) can be obtained.
- the surface pressure load model replaces the turbulent boundary layer load model shown in equation (1).
- the equivalent fully random surface pressure load obtained by the above steps is applied to the simply supported rectangular plate shown in FIG. 2, and the displacement response power spectral density at point A (0.3 m, 0.2 m) is calculated (in dB).
- the value is 1m 2 Hz -1 ), as shown in Figure 3.
- the results in Fig. 3 show that, in this example, when f ⁇ f crit , that is, f ⁇ 408 Hz, the equivalent fully random surface ballast model obtained in the above step can effectively represent the turbulent boundary layer load model.
- the final result of the embodiment shows that the method proposed by the invention can effectively convert the turbulent boundary layer load model into an equivalent completely random surface pressure load model, and improve the efficiency of the subsequent response analysis.
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Abstract
An equalisation technique for a turbulent boundary layer load model, comprising the steps of: (1) forming an equivalent completely-random surface pressure load model after a turbulent boundary layer load model is equalised; (2) determining the magnitude of an equivalent correlation function of the equivalent completely-random surface pressure load model; and (3) determining the wavelength of structural bending and a characteristic wavelength of a turbulent boundary layer load, thus calculating the frequency of consistency, and thereby determining an applicable frequency range of the equivalent random surface pressure load model. An equalisation technique for a turbulent boundary layer load model is a technique of equalising a turbulent boundary layer load model to a completely-random surface pressure load model; the technique can effectively reduce the calculated amount of structural dynamic response analysis under the action of a turbulent boundary layer load, shorten a design cycle and save on the design cost.
Description
本发明涉及随机面压载荷模型等效技术领域，具体涉及一种湍流边界层载荷模型的等效技术。The invention relates to the technical field of random surface pressure load model equivalent, and particularly relates to an equivalent technique of a turbulent boundary layer load model.
随着航天器向高飞行速度发展，其在任务周期内面临严峻的随机噪声等环境，这可能造成结构失效或精密仪器、仪表失灵。因此，在航天器的设计过程中，需考虑机械振动和噪声的影响。可采用试验方法、理论方法和数值方法预示系统在随机噪声激励下的动响应。其中，试验方法能得到可靠的结果，但开展试验分析的成本较高，设计周期长；理论方法只适用于简单系统，难以解决复杂系统的动响应预示问题；数值方法可节约设计成本，缩短设计周期，是试验分析的有效辅助手段。As spacecraft develop toward higher flight speeds, they face severe random noise and other environments during the mission cycle, which may cause structural failure or failure of precision instruments and instruments. Therefore, in the design of the spacecraft, the effects of mechanical vibration and noise should be considered. Test methods, theoretical methods and numerical methods can be used to predict the dynamic response of the system under random noise excitation. Among them, the test method can obtain reliable results, but the cost of conducting test analysis is high, and the design cycle is long; the theoretical method is only applicable to simple systems, and it is difficult to solve the dynamic response prediction problem of complex systems; the numerical method can save design cost and shorten design Cycle is an effective aid to experimental analysis.
目前公认的一种湍流边界层载荷模型中，低频段的相干长度较长，高频段的相干长度较短。在采用有限元法中的模态叠加法分析结构在湍流边界层载荷激励的随机响应时，随着分析频率的升高，湍流边界层载荷的相干长度缩短，要求有限元网格的尺寸变小，这导致计算量呈几何级数增长。因此，在较高频段，需采取有效措施以解决上述湍流边界层载荷模型分析效率低下的问题，进而缩短设计周期，节约设计成本。In a currently known turbulent boundary layer load model, the coherence length of the low frequency band is long and the coherence length of the high frequency band is short. When the modal superposition method in the finite element method is used to analyze the random response of the structure in the turbulent boundary layer load excitation, the coherence length of the turbulent boundary layer load is shortened as the analysis frequency increases, and the size of the finite element mesh is required to be smaller. This causes the amount of computation to grow geometrically. Therefore, in the higher frequency band, effective measures need to be taken to solve the problem of low efficiency of the above-mentioned turbulent boundary layer load model analysis, thereby shortening the design cycle and saving design cost.
发明内容Summary of the invention
发明目的：为了克服现有技术中存在的不足，针对现有的一种湍流边界层载荷模型在应用中存在的问题，本发明提供了一种该湍流边界层载荷模型的等效技术，该技术可有效提高湍流边界层载荷激励下结构动响应仿真分析的效率。OBJECT OF THE INVENTION In order to overcome the deficiencies in the prior art, the present invention provides an equivalent technique for the turbulent boundary layer load model in view of the existing problems in the application of a turbulent boundary layer load model. It can effectively improve the efficiency of structural dynamic response simulation analysis under turbulent boundary layer load excitation.
技术方案：为实现上述目的，本发明采用的技术方案为：Technical Solution: In order to achieve the above object, the technical solution adopted by the present invention is:
一种湍流边界层载荷模型的等效技术，包括以下步骤：An equivalent technique for a turbulent boundary layer load model, comprising the following steps:
(1)湍流边界层载荷模型经等效后形成等效完全随机面压载荷模型；(1) The turbulent boundary layer load model is equivalent to form an equivalent completely random surface pressure load model;
(2)确定所述等效完全随机面压载荷模型的等效相关函数的量级；(2) determining the magnitude of the equivalent correlation function of the equivalent completely random surface pressure load model;
(3)根据结构模型和湍流边界层载荷模型确定所述等效随机面压载荷模型的适用频率范围。(3) Determine the applicable frequency range of the equivalent random surface pressure load model according to the structural model and the turbulent boundary layer load model.
进一步地，所述步骤(1)中的湍流边界层载荷模型为：Further, the turbulent boundary layer load model in the step (1) is:
其中ξ
x为两点在x轴方向上的距离，ξ
y为两点在y轴方向上的距离，ω为角频率，S
0为载荷功率谱的量级，D
x＝α
x/k
c、D
y＝α
y/k
c分别为顺流方向和横流方向的相干长度，无量纲常数α
x＝8、 α
y＝1.2，k
c＝ω/U
c为对流波数，U
c＝0.7U为对流速度，U为来流速度。
Where ξ x is the distance of the two points in the x-axis direction, ξ y is the distance of the two points in the y-axis direction, ω is the angular frequency, and S 0 is the magnitude of the load power spectrum, D x =α x /k c , D y =α y /k c are the coherence lengths of the forward flow direction and the cross flow direction, respectively, the dimensionless constant α x =8, α y =1.2, k c =ω/U c is the convection wave number, U c =0.7U For convection speed, U is the incoming flow speed.
进一步地，所述步骤(1)中的等效完全随机面压载荷模型为：Further, the equivalent completely random surface pressure load model in the step (1) is:
S
pp(ξ
x,ξ
y,ω)＝S
0C
eq(ω)δ(ξ
x)δ(ξ
y) (2)
S pp (ξ x , ξ y , ω)=S 0 C eq (ω)δ(ξ x )δ(ξ y ) (2)
其中C
eq(ω)为等效相关函数的量级，函数δ(ξ)为克罗内克函数：
Where C eq (ω) is the magnitude of the equivalent correlation function and the function δ(ξ) is the Kroneck function:
进一步地，所述步骤(2)中等效完全随机面压载荷模型的等效相关函数的量级C
eq(ω)满足下式：
Further, the magnitude C eq (ω) of the equivalent correlation function of the equivalent completely random surface pressure load model in the step (2) satisfies the following formula:
进一步地，所述等效完全随机面压载荷模型的等效相关函数的量级C
eq(ω)为：
Further, the magnitude C eq (ω) of the equivalent correlation function of the equivalent fully random surface pressure load model is:
进一步地，所述步骤(3)中等效完全随机面压载荷模型的适用频率范围为f≥f
crit，f
crit为临界频率。
Further, the applicable frequency range of the equivalent completely random surface pressure load model in the step (3) is f≥f crit , and f crit is the critical frequency.
进一步地，所述临界频率为：Further, the critical frequency is:
f
crit＝4f
c (6)
f crit =4f c (6)
其中f
c为一致性频率。
Where f c is the consistency frequency.
进一步地，所述一致性频率f
c为使结构弯曲波长λ
B(ω)及混响场载荷特征波长λ
T(ω)相等即λ
B(ω)＝λ
T(ω)时的一致性频率：
Further, the uniform frequency f c is a uniform frequency when the structural bending wavelength λ B (ω) and the reverberant field load characteristic wavelength λ T (ω) are equal, that is, λ B (ω)=λ T (ω) :
其中，E为材料弹性模量，ρ为材料密度，ν为材料泊松比，h为结构表面板类构件厚度。Where E is the elastic modulus of the material, ρ is the material density, ν is the material Poisson's ratio, and h is the thickness of the structural surface plate member.
有益效果：本发明提供的一种湍流边界层载荷模型的等效技术，是一种将湍流边界层载荷模型等效为完全随机面压载荷模型的技术，该技术可有效降低湍流边界层载荷激励下结构动响应分析的计算量，缩短设计周期，节约设计成本。Advantageous Effects: The equivalent technology of a turbulent boundary layer load model provided by the present invention is a technique for equivalenting a turbulent boundary layer load model to a completely random surface pressure load model, which can effectively reduce turbulent boundary layer load excitation The calculation of the dynamic response analysis of the lower structure shortens the design cycle and saves the design cost.
图1是本发明的逻辑流程框图；Figure 1 is a logic flow diagram of the present invention;
图2是一个矩形简支板的示意图；Figure 2 is a schematic view of a rectangular simply supported plate;
图3是矩形简支板上点A处的位移响应功率谱密度示意图。Figure 3 is a schematic diagram of the displacement response power spectral density at point A on a rectangular simple plate.
下面结合附图对本发明作更进一步的说明。The present invention will be further described below in conjunction with the accompanying drawings.
如图1所示为一种湍流边界层载荷模型的等效技术的逻辑流程框图，主要包括以下步骤：Figure 1 shows a logical flow diagram of an equivalent technique for a turbulent boundary layer load model, which mainly includes the following steps:
步骤(1)湍流边界层载荷模型经等效后形成等效完全随机面压载荷模型；Step (1) The turbulent boundary layer load model is equivalent to form an equivalent completely random surface pressure load model;
(1.1)湍流边界层载荷模型，其在空间上任意两点处面压载荷之间的互谱为：(1.1) Turbulent boundary layer load model, the cross-spectrum between the surface pressure loads at any two points in space is:
其中ξ
x为两点在x轴方向上的距离，ξ
y为两点在y轴方向上的距离，ω为角频率，S
0为载荷功率谱的量级，D
x＝α
x/k
c、D
y＝α
y/k
c分别为顺流方向和横流方向的相干长度，无量纲常数α
x＝8、α
y＝1.2，k
c＝ω/U
c为对流波数，U
c＝0.7U为对流速度，U为来流速度。
Where ξ x is the distance of the two points in the x-axis direction, ξ y is the distance of the two points in the y-axis direction, ω is the angular frequency, and S 0 is the magnitude of the load power spectrum, D x =α x /k c , D y =α y /k c are the coherence lengths of the forward flow direction and the cross flow direction, respectively, the dimensionless constant α x =8, α y =1.2, k c =ω/U c is the convection wave number, U c =0.7U For convection speed, U is the incoming flow speed.
(1.2)等效完全随机面压载荷模型，其在空间上任意两点处面压的互谱为：(1.2) Equivalent completely random surface pressure load model, the cross-spectrum of the surface pressure at any two points in space is:
S
pp(ξ
x,ξ
y,ω)＝S
0C
eq(ω)δ(ξ
x)δ(ξ
y) (2)
S pp (ξ x , ξ y , ω)=S 0 C eq (ω)δ(ξ x )δ(ξ y ) (2)
其中C
eq(ω)为等效相关函数的量级，函数δ(ξ)为克罗内克函数：
Where C eq (ω) is the magnitude of the equivalent correlation function and the function δ(ξ) is the Kroneck function:
步骤(2))确定所述等效完全随机面压载荷模型的等效相关函数的量级C
eq(ω)，进而确定该等效完全随机面压载荷模型；
Step (2)) determining the magnitude C eq (ω) of the equivalent correlation function of the equivalent completely random surface pressure load model, and determining the equivalent completely random surface pressure load model;
等效完全随机面压载荷模型的等效相关函数的量级C
eq(ω)满足下式：
The magnitude of the equivalent correlation function of the equivalent completely random surface pressure load model, C eq (ω), satisfies the following equation:
求解式(4)得到等效完全随机面压载荷模型的等效相关函数的量级C
eq(ω)为：
The magnitude C eq (ω) of the equivalent correlation function of the equivalent fully random surface pressure load model obtained by solving equation (4) is:
步骤(3)根据结构模型和湍流边界层载荷模型确定所述等效随机面压载荷模型的适用频率范围；具体包括：Step (3) determining an applicable frequency range of the equivalent random surface pressure load model according to the structural model and the turbulent boundary layer load model; specifically:
(3.1)确定结构的弯曲波长：(3.1) Determine the bending wavelength of the structure:
其中，E为材料弹性模量，ρ为材料密度，ν为材料泊松比，h为结构表面板类构件厚度。Where E is the elastic modulus of the material, ρ is the material density, ν is the material Poisson's ratio, and h is the thickness of the structural surface plate member.
(3.2)确定湍流边界层载荷的特征波长：(3.2) Determine the characteristic wavelength of the turbulent boundary layer load:
λ
T(ω)＝2πU
c/ω (7)
λ T (ω)=2πU c /ω (7)
(3.3)计算使结构弯曲波长及湍流边界层载荷特征波长相等时，即λ
B(ω)＝λ
D(ω)时的一致性频率：
(3.3) Calculate the uniform frequency when the structural bending wavelength and the turbulent boundary layer load characteristic wavelength are equal, that is, λ B (ω)=λ D (ω):
(3.4)计算等效完全随机面压载荷模型适用的临界频率：(3.4) Calculate the critical frequency for the equivalent fully random surface pressure load model:
f
crit＝4f
c (9)
f crit =4f c (9)
(3.5)确定步骤(2)中的等效完全随机面压载荷模型的适用频率范围为f≥f
crit。
(3.5) Determine the applicable frequency range of the equivalent fully random surface pressure load model in step (2) as f ≥ f crit .
实施例Example
如图2所示，以一个矩形简支板为例，计算一致性频率。矩形简支板的尺寸为：x轴向长度L
x＝1m，y轴向长度L
y＝1m，厚度h＝0.005m。矩形简支板所用材料的参数为：弹性模量E＝120GPa，材料密度ρ＝7800kg/m
3，泊松比υ＝0.3。当来流速度U＝100m/s时，将各参数的取值代入式(8)得f
c＝102Hz。
As shown in Figure 2, a rectangular simple support plate is taken as an example to calculate the consistency frequency. The dimensions of the rectangular simply supported plate are: x axial length L x =1 m, y axial length L y =1 m, thickness h = 0.005 m. The parameters of the material used for the rectangular simply supported plate are: elastic modulus E = 120 GPa, material density ρ = 7800 kg/m 3 , Poisson's ratio υ = 0.3. When the incoming flow velocity U=100 m/s, the value of each parameter is substituted into equation (8) to obtain f c = 102 Hz.
经过步骤(3.4)计算等效完全随机面压载荷模型适用的临界频率为f
crit＝408Hz。
The critical frequency applicable to the equivalent fully random surface pressure load model calculated by step (3.4) is f crit = 408 Hz.
经过步骤(3.5)确定等效完全随机面压载荷模型的适用频率范围为f≥f
crit，即当当分析频率f≥408Hz时，在本例中，可由式(2)所示的等效完全随机面压载荷模型代替式(1)所示的湍流边界层载荷模型。
After step (3.5), the applicable frequency range of the equivalent fully random surface pressure load model is f ≥ f crit , that is, when the analysis frequency f ≥ 408 Hz, in this example, the equivalent complete randomness shown by equation (2) can be obtained. The surface pressure load model replaces the turbulent boundary layer load model shown in equation (1).
将由上述步骤获得的等效完全随机面压载荷施加于图2所示的简支矩形板上，计算获得点A(0.3m,0.2m)处的位移响应功率谱密度(以dB为单位，参考值为1m
2Hz
-1)，如图3所示。图3中结果表明，在本例中，当f≥f
crit，即f≥408Hz时，上述步骤获得的等效完全随机面压载模型可有效代表湍流边界层载荷模型。
The equivalent fully random surface pressure load obtained by the above steps is applied to the simply supported rectangular plate shown in FIG. 2, and the displacement response power spectral density at point A (0.3 m, 0.2 m) is calculated (in dB). The value is 1m 2 Hz -1 ), as shown in Figure 3. The results in Fig. 3 show that, in this example, when f ≥ f crit , that is, f ≥ 408 Hz, the equivalent fully random surface ballast model obtained in the above step can effectively represent the turbulent boundary layer load model.
本实施例最终取得的效果说明，本发明所提出的方法能有效地将湍流边界层载荷模型转换成等效完全随机面压载荷模型，提高后续响应分析的效率。The final result of the embodiment shows that the method proposed by the invention can effectively convert the turbulent boundary layer load model into an equivalent completely random surface pressure load model, and improve the efficiency of the subsequent response analysis.
以上所述仅是本发明的优选实施方式，应当指出：对于本技术领域的普通技术人员来说，在不脱离本发明原理的前提下，还可以做出若干改进和润饰，这些改进和润饰也应视为本发明的保护范围。The above description is only a preferred embodiment of the present invention, and it should be noted that those skilled in the art can also make several improvements and retouchings without departing from the principles of the present invention. It should be considered as the scope of protection of the present invention.
Claims (8)
- 一种湍流边界层载荷模型的等效技术，其特征在于：包括以下步骤：An equivalent technique for a turbulent boundary layer load model, characterized in that it comprises the following steps:(1)湍流边界层载荷模型经等效后形成等效完全随机面压载荷模型；(1) The turbulent boundary layer load model is equivalent to form an equivalent completely random surface pressure load model;(2)确定所述等效完全随机面压载荷模型的等效相关函数的量级；(2) determining the magnitude of the equivalent correlation function of the equivalent completely random surface pressure load model;(3)根据结构模型和湍流边界层载荷模型确定所述等效随机面压载荷模型的适用频率范围。(3) Determine the applicable frequency range of the equivalent random surface pressure load model according to the structural model and the turbulent boundary layer load model.
- 根据权利要求1所述的湍流边界层载荷模型的等效技术，其特征在于：所述步骤(1)中的湍流边界层载荷模型为：The equivalent technique of the turbulent boundary layer load model according to claim 1, wherein the turbulent boundary layer load model in the step (1) is:
其中ξ x为两点在x轴方向上的距离，ξ y为两点在y轴方向上的距离，ω为角频率，S 0为载荷功率谱的量级，D x＝α x/k c、D y＝α y/k c分别为顺流方向和横流方向的相干长度，无量纲常数α x＝8、α y＝1.2，k c＝ω/U c为对流波数，U c＝0.7U为对流速度，U为来流速度。 Where ξ x is the distance of the two points in the x-axis direction, ξ y is the distance of the two points in the y-axis direction, ω is the angular frequency, and S 0 is the magnitude of the load power spectrum, D x =α x /k c , D y =α y /k c are the coherence lengths of the forward flow direction and the cross flow direction, respectively, the dimensionless constant α x =8, α y =1.2, k c =ω/U c is the convection wave number, U c =0.7U For convection speed, U is the incoming flow speed. - 根据权利要求1所述的湍流边界层载荷模型的等效技术，其特征在于：所述步骤(1)中所述等效完全随机面压载荷模型为：The equivalent technique of the turbulent boundary layer load model according to claim 1, wherein the equivalent fully random surface pressure load model in the step (1) is:S pp(ξ x,ξ y,ω)＝S 0C eq(ω)δ(ξ x)δ(ξ y) (2) S pp (ξ x , ξ y , ω)=S 0 C eq (ω)δ(ξ x )δ(ξ y ) (2)其中C eq(ω)为等效相关函数的量级，函数δ(ξ)为克罗内克函数： Where C eq (ω) is the magnitude of the equivalent correlation function and the function δ(ξ) is the Kroneck function:
- 根据权利要求1所述的湍流边界层载荷模型的等效技术，其特征在于：所述步骤(2)中等效完全随机面压载荷模型的等效相关函数的量级C eq(ω)满足下式： The equivalent technique of the turbulent boundary layer load model according to claim 1, wherein the magnitude C eq (ω) of the equivalent correlation function of the equivalent completely random surface pressure load model in the step (2) is satisfied. formula:
- 根据权利要求1或4所述的湍流边界层载荷模型的等效技术，其特征在于：所述等效完全随机面压载荷模型的等效相关函数的量级C eq(ω)为： The equivalent technique of the turbulent boundary layer load model according to claim 1 or 4, characterized in that the magnitude C eq (ω) of the equivalent correlation function of the equivalent completely random surface pressure load model is:
- 根据权利要求1所述的湍流边界层载荷模型的等效技术，其特征在于：所述步骤(3)中的等效完全随机面压载荷模型的适用频率范围为f≥f crit，f crit为临界频率。 The technique according to an equivalent load model turbulent boundary layer as claimed in claim, wherein: the frequency range applicable to the model of the equivalent load pressure of step (3) is completely random surface is f≥f crit, f crit is Critical frequency.
- 根据权利要求6所述的湍流边界层载荷模型的等效技术，其特征在于：所述临界频率为：The equivalent technique of the turbulent boundary layer load model according to claim 6, wherein the critical frequency is:f crit＝4f c (6) f crit =4f c (6)其中f c为一致性频率。 Where f c is the consistency frequency.
- 根据权利要求7所述的混响场随机面压载荷模型的等效技术，其特征在于：所述一致性频率f c为使结构弯曲波长λ B(ω)及混响场载荷特征波长λ T(ω)相等即λ B(ω)＝λ T(ω)时的一致性频率： The equivalent technique of the random surface pressure load model of the reverberation field according to claim 7, wherein the uniform frequency f c is such that the structural bending wavelength λ B (ω) and the reverberant field load characteristic wavelength λ T Consistent frequency when (ω) is equal, ie λ B (ω)=λ T (ω):
其中，E为材料弹性模量，ρ为材料密度，ν为材料泊松比，h为结构表面板类构件厚度。Where E is the elastic modulus of the material, ρ is the material density, ν is the material Poisson's ratio, and h is the thickness of the structural surface plate member.
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| US20120239358A1 (en) * | 2011-03-16 | 2012-09-20 | Yiu Hoi | Stresses induced by random loading |
| CN106055798A (en) * | 2016-06-02 | 2016-10-26 | 东南大学 | Acoustic vibration response analysis method under non-stable random dynamic loads |
| CN106227947A (en) * | 2016-07-26 | 2016-12-14 | 南京航空航天大学 | A kind of cooling tower inner surface Equivalent Wind Load obtaining value method |
| CN106484952A (en) * | 2016-09-14 | 2017-03-08 | 东南大学 | A kind of equivalence techniques of the random face pressure load model of reverberation field |
| CN107169217A (en) * | 2017-05-25 | 2017-09-15 | 东南大学 | A kind of equivalent method of turbulent boundary layer load model |
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| US6363789B1 (en) * | 2000-05-31 | 2002-04-02 | The Boeing Company | Acoustic pressure load conversion method to vibration spectra |
| US20120239358A1 (en) * | 2011-03-16 | 2012-09-20 | Yiu Hoi | Stresses induced by random loading |
| CN106055798A (en) * | 2016-06-02 | 2016-10-26 | 东南大学 | Acoustic vibration response analysis method under non-stable random dynamic loads |
| CN106227947A (en) * | 2016-07-26 | 2016-12-14 | 南京航空航天大学 | A kind of cooling tower inner surface Equivalent Wind Load obtaining value method |
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| CN107169217A (en) * | 2017-05-25 | 2017-09-15 | 东南大学 | A kind of equivalent method of turbulent boundary layer load model |
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