CN-121997395-A - Cellular equivalent parameter simulation method based on probability distribution

CN121997395ACN 121997395 ACN121997395 ACN 121997395ACN-121997395-A

Abstract

The invention belongs to the field of structural strength testing, and particularly relates to a honeycomb equivalent parameter simulation method based on probability distribution. Current research on cellular equivalent parameter simulation does not fully consider the problem of probability distribution caused by dispersibility. The method comprises the steps of scanning random N cells, measuring structural parameters of each cell, carrying out statistical analysis on each structural parameter measured value of the cell to obtain a corresponding probability density function, carrying out Monte Carlo simulation based on the obtained probability density function to generate a random number sequence, combining the random number sequence and a cell equivalent parameter formula to simulate to obtain a cell equivalent parameter simulation value, carrying out probability statistical analysis, establishing a frequency distribution histogram of the cell equivalent parameter, obtaining the probability density function of the cell equivalent parameter, and obtaining a corresponding cell equivalent parameter value by combining given reliability. The experiment is simple and the cost is low.

Inventors

ZHAO XU
LI HAO
ZHONG YU

Assignees

中国航空工业集团公司济南特种结构研究所

Dates

Publication Date: 20260508
Application Date: 20251224

Claims (9)

1. A cellular equivalent parameter simulation method based on probability distribution, which is characterized by comprising the following steps: s1, scanning N random honeycombs through a scanning electron microscope, wherein N is more than or equal to 50, and measuring structural parameters of each honeycomb, including the thickness of the adhesive Length of honeycomb straight wall Length of inclined wall The angle between the inclined wall and the x-axis direction And honeycomb wall thickness ; S2, carrying out statistical analysis on each structural parameter measured value of the honeycomb to obtain a frequency distribution histogram of each structural parameter, and carrying out data fitting to obtain a corresponding probability density function; s3, performing Monte Carlo simulation based on the obtained probability density function to generate a series of random number sequences obeying the probability density function; S4, combining the random number sequence and a honeycomb equivalent parameter formula, and obtaining a series of honeycomb equivalent parameter simulation values through simulation; S5, carrying out probability statistical analysis on the analog value of the honeycomb equivalent parameter, establishing a frequency distribution histogram of the honeycomb equivalent parameter, obtaining a probability density function of the honeycomb equivalent parameter, and obtaining a corresponding honeycomb equivalent parameter value by combining given reliability.
2. The method for simulating cellular equivalent parameters according to claim 1, wherein said cellular equivalent parameters in S4 include equivalent elastic modulus of the cell in x-direction Equivalent elastic modulus in y-direction Equivalent shear modulus in the x-y plane Out-of-plane equivalent shear modulus in the x-z plane Out-of-plane equivalent shear modulus in the y-z plane Out-of-plane equivalent elastic modulus in z-direction Equivalent density of 。
3. A method of simulating equivalent parameters of a honeycomb according to claim 2, wherein the equivalent elastic modulus of the honeycomb in the x-direction is The method comprises the following steps: Wherein, the Is the elastic modulus of the honeycomb core material, Is a honeycomb wall thickness, Is the included angle between the inclined wall and the x-axis direction, Is of the inclined wall length, Is a honeycomb straight wall length.
4. A honeycomb equivalent parameter simulation method according to claim 2, characterized in that the equivalent elastic modulus in the y-direction The method comprises the following steps: Wherein, the Is the included angle between the inclined wall and the x-axis direction, Is of the inclined wall length, Is a honeycomb straight wall with a length, Is a honeycomb wall thickness, Is the elastic modulus of the honeycomb core material, Is the elastic modulus of the adhesive material, Is the thickness of the adhesive.
5. A method of modeling honeycomb equivalent parameters according to claim 2, characterized in that the equivalent shear modulus in the x-y plane : Wherein, the Is of the inclined wall length, Is a honeycomb straight wall with a length, Is the included angle between the inclined wall and the x-axis direction, Is a honeycomb wall thickness, Is an adhesive with a thickness, Is the elastic modulus of the honeycomb core material, Is the elastic modulus of the adhesive material.
6. A method of modeling honeycomb equivalent parameters according to claim 2, wherein the in-plane equivalent shear modulus in the x-z plane : Wherein, the Is of the inclined wall length, Is a honeycomb straight wall with a length, Is the included angle between the inclined wall and the x-axis direction, Is a honeycomb wall thickness, Is the shear modulus of the honeycomb core material.
7. A method of modeling honeycomb equivalent parameters according to claim 2, wherein the in-plane equivalent shear modulus in the y-z plane : Wherein, the Is a honeycomb wall thickness, Is an adhesive with a thickness, Is a honeycomb straight wall with a length, Is of the inclined wall length, Is the included angle between the inclined wall and the x-axis direction, Is made of honeycomb core material with shear modulus, Is the shear modulus of the adhesive material.
8. A method of modeling honeycomb equivalent parameters according to claim 2, wherein the in-plane equivalent elastic modulus in the z-direction is : Wherein, the Is the elastic modulus of the honeycomb core material, Is the elastic modulus of the adhesive material, Is a honeycomb wall thickness, Is an adhesive with a thickness, Is a honeycomb straight wall with a length, Is of the inclined wall length, Is the angle between the inclined wall and the x-axis direction.
9. A method for simulating equivalent parameters of a honeycomb according to claim 2, wherein the equivalent density is : Wherein, the Is a honeycomb core material with a material density, Is the density of the adhesive material, Is a honeycomb wall thickness, Is an adhesive with a thickness, Is a honeycomb straight wall with a length, Is of the inclined wall length, Is the angle between the inclined wall and the x-axis direction.

Description

Cellular equivalent parameter simulation method based on probability distribution Technical Field The invention belongs to the field of structural strength testing, and particularly relates to a honeycomb equivalent parameter simulation method based on probability distribution. Background The honeycomb based on the bionic principle, such as aluminum honeycomb or Nomex honeycomb, fully references the hexagonal structure of the natural honeycomb in the nature, ensures the structural strength, simultaneously saves the material and space to the maximum extent, and realizes the combination of light weight and high performance. The honeycomb has the characteristics of light weight, high strength, high flame retardance, high corrosion resistance, excellent wave transmission performance and the like, so that the honeycomb is widely applied to the engineering field. However, due to the discrete non-uniform characteristics of the honeycomb structure, the equivalent parameters of the honeycomb structure need to be calculated in the practical engineering application process, so that the discrete honeycomb structure is converted into a uniform solid structure. Due to material dispersion and errors in the process preparation, the honeycomb equivalent parameters are not perfectly constant, but rather follow a specific probability distribution. However, the current research on the simulation of the equivalent parameters of the honeycomb does not fully consider the probability distribution problem caused by dispersibility, which results in a great difference between the calculation result of the equivalent parameters and the actual value, so that it is highly required to develop a simulation method of the equivalent parameters of the honeycomb based on probability distribution, and determine the value of the equivalent parameters of the honeycomb under the given reliability. Disclosure of Invention Aiming at the problem that the probability distribution caused by dispersibility is not fully considered in the research of the current honeycomb equivalent parameter simulation, the calculation result of the equivalent parameter has a great difference with the actual numerical value, and the requirement for accurate analysis of the honeycomb is difficult to meet. The invention provides a honeycomb equivalent parameter simulation method based on probability distribution, which considers the dispersibility of a honeycomb structure, realizes accurate simulation of the honeycomb equivalent parameter under given reliability, and meets the requirement of accurate analysis of a honeycomb. The invention provides a honeycomb equivalent parameter simulation method based on probability distribution, which comprises the following steps: s1, scanning N random honeycombs through a scanning electron microscope, wherein N is more than or equal to 50, and measuring structural parameters of each honeycomb, including the thickness of the adhesive Length of honeycomb straight wallLength of inclined wallThe angle between the inclined wall and the x-axis directionAnd honeycomb wall thickness; S2, carrying out statistical analysis on each structural parameter measured value of the honeycomb to obtain a frequency distribution histogram of each structural parameter, and carrying out data fitting to obtain a corresponding probability density function; s3, performing Monte Carlo simulation based on the obtained probability density function to generate a series of random number sequences obeying the probability density function; S4, combining the random number sequence and a honeycomb equivalent parameter formula, and obtaining a series of honeycomb equivalent parameter simulation values through simulation; S5, carrying out probability statistical analysis on the analog value of the honeycomb equivalent parameter, establishing a frequency distribution histogram of the honeycomb equivalent parameter, obtaining a probability density function of the honeycomb equivalent parameter, and obtaining a corresponding honeycomb equivalent parameter value by combining given reliability. Advantageously, the equivalent parameters of the honeycomb in S4 include the equivalent elastic modulus of the honeycomb in the x-directionEquivalent elastic modulus in y-directionEquivalent shear modulus in the x-y planeOut-of-plane equivalent shear modulus in the x-z planeOut-of-plane equivalent shear modulus in the y-z planeOut-of-plane equivalent elastic modulus in z-directionEquivalent density of。 Advantageously, the equivalent elastic modulus of the honeycomb in the x-directionThe method comprises the following steps: Wherein, the Is the elastic modulus of the honeycomb core material,Is a honeycomb wall thickness,Is the included angle between the inclined wall and the x-axis direction,Is of the inclined wall length,Is a honeycomb straight wall length. Advantageously, the equivalent elastic modulus in the y-directionThe method comprises the following steps: Wherein, the Is the i