CN104820780A - Method for computing equivalent Poisson ratio of concave honeycomb structure - Google Patents

Abstract

The invention discloses a method for computing an equivalent Poisson ratio of a concave honeycomb structure. The method for computing the equivalent Poisson ratio of the concave honeycomb structure comprises the following steps: computing a deformation delta 1 of a honeycomb cell wall so as to acquire a strain epsilon 1 of the honeycomb cell wall; and computing a deformation delta 2 of the honeycomb cell wall so as to acquire a strain epsilon 2 of the honeycomb cell wall, and then computing the equivalent Poisson ratio of the honeycomb structure through above data and a Poisson ratio formula. In the method of computing the equivalent Poisson ratio of the concave honeycomb structure, the strain epsilon 1 of the honeycomb cell wall is acquired by computing the deformation delta 1 of the honeycomb cell wall, the strain epsilon 2 of the honeycomb cell wall is acquired by acquiring the deformation delta 2 of the honeycomb cell wall, and then the equivalent Poisson ratio of the honeycomb structure is computed through the Poisson ratio formula. Compared with the prior art, the computing method is simple, and the computed data is accurate through the adoption of the computing method disclosed by the invention.

Description

A kind of method calculating the equivalent Poisson ratio of inner concave shape honeycomb

Technical field

The present invention relates to honeycomb detection field, particularly relate to a kind of method calculating the equivalent Poisson ratio of inner concave shape honeycomb.

Background technology

In the prior art, negative poisson ' s ratio honeycomb is generally inner concave shape, can adjust the size of its Poisson ratio to adapt to various situation by adjustment cross section each geometric parameter, to the research of its Poisson ratio great significance for design for this class formation.

Traditional honeycomb Poisson ratio computing method directly use beam deflection theory calculate to strain and then calculate Poisson ratio, cumbersome, and when the Poisson ratio of concave polygon honeycomb calculates in calculation of complex, use said method difficulty larger.

Therefore, wish a kind of technical scheme to overcome or at least alleviate at least one above-mentioned defect of prior art.

Summary of the invention

The object of the present invention is to provide a kind of method calculating the equivalent Poisson ratio of inner concave shape honeycomb to overcome or at least alleviate at least one the above-mentioned defect in prior art.

For achieving the above object, the invention provides a kind of method calculating the equivalent Poisson ratio of inner concave shape honeycomb, comprise the steps: step 1: get any one honeycomb cell-wall in honeycomb to be measured and do calculating object, described honeycomb cell-wall comprises first crossbeam, second cross beam and the support column between first crossbeam and second cross beam;

Step 2: described honeycomb cell-wall is divided equally, get wherein equal portions and do calculating object, these equal portions are equal portions to be measured; Wherein, between described equal portions to be measured and other equal portions, there is symmetric relation; Wherein, described equal portions to be measured comprise Part I, Part II and Part III, Part I is bent by one end of first crossbeam and is extended and formed, described Part I bends away from one end of described first crossbeam and extends, form described Part II, described Part II bends away from one end of described Part I and extends, and forms described Part III, wherein, the development length of described Part I is equal with the development length of described Part III;

Step 3: measure the thickness of described honeycomb cell-wall and the vertical range between described first crossbeam and described second cross beam;

Step 4: to the junction imposed load P of described Part I and described first crossbeam, wherein, the direction of described load p is to the vertically extending direction of second cross beam from this junction;

Step 5: measure the angle of the direction of described load p and the extension of described Part I, measure angle between the direction of described load p and the extension of described Part II; Measure the angle of the direction of described load p and the extension of described Part III, wherein, the angle between the direction of described load p and the extension of described Part II is equal with the angle angle of the extension of described Part III with the direction of described load p;

Step 6: calculate the moment M that described equal portions to be measured produce when being subject to load p;

Step 7: according to described moment M, calculates the moment of flexure that described Part I, Part II and Part III produce respectively;

Step 8: calculate described Part I, Part II and the Part III specific loading at described load p equidirectional respectively the moment of flexure of lower generation;

Step 9: according to the data of trying to achieve in step 7 and step 8, calculates the distortion δ of honeycomb cell-wall ₁;

Step 10: the distortion δ tried to achieve according to step 9 ₁, calculate the strain stress of honeycomb cell-wall ₁;

Step 11: calculate respectively described Part I, Part II and Part III along described first crossbeam axial direction and perpendicular to the specific loading in described load p direction effect under the moment of flexure that produces;

Step 12: according to the data of trying to achieve in described step 11 and described step 7, calculates the distortion δ of described honeycomb cell-wall ₂;

Step 13: according to the data δ of described step 12 gained ₂, calculate the strain stress of described honeycomb cell-wall ₂;

Step 14: the data obtained according to described step 10 and step 13, goes out the equivalent Poisson ratio of described honeycomb by Poisson ratio formulae discovery.

Preferably, in described step 2, the mode of being divided equally by described honeycomb cell-wall is: described honeycomb cell-wall is divided into quarter, described equal portions to be measured are equal portions, all the other are respectively the second equal portions, three equal parts and quarter, and wherein, described equal portions to be measured and the second equal portions are axially symmetrical, described equal portions to be measured and three equal parts radial symmetry, described equal portions to be measured and quarter Central Symmetry.

Preferably, calculating the formula that described equal portions to be measured are being subject to the moment M that load p place produces in described step 6 is:

Preferably, the bemding moment formula calculating the generation of described Part I in described step 7 is:

The bemding moment formula calculating the generation of described Part II is:

The bemding moment formula calculating the generation of described Part III is:

Preferably, described Part I is calculated in described step 8 in specific loading with the formula of the moment of flexure produced under described load p equidirectional be:

wherein, 0≤x ₁≤ a;

Described Part II is in specific loading with the formula of the moment of flexure produced under described load p equidirectional be: wherein, 0≤x ₂≤ L;

Described Part III is in specific loading with the formula of the moment of flexure produced under described load p equidirectional be: wherein, 0≤x ₃≤ a.

Preferably, described step 9 adopts following formulae discovery:

${\mathrm{\δ}}_1=\frac{1}{{2E}_{S}I}({\mathrm{PL}}^{2}a{\sin }^2\mathrm{\θ}+\frac{{4\mathrm{Pa}}^3{\sin }^2\mathrm{\φ}}{3}-{\mathrm{PLa}}^2\sin \mathrm{\θ}\sin \mathrm{\φ}+\frac{{\mathrm{PL}}^3{\mathrm{SIN}}^2\mathrm{\θ}}{6}).$

Preferably, the strain stress of following formulae discovery honeycomb cell-wall on the action direction of the power with described load p is adopted ₁:

Preferably, the calculating Part I in described step 11 along described first crossbeam axial direction and perpendicular to the specific loading in described load p direction the moment of flexure of lower generation adopts following formula to calculate:

wherein, 0≤x ₁≤ a;

Calculate Part II along described first crossbeam axial direction and perpendicular to the specific loading in described load p direction the moment of flexure of lower generation adopts following formula to calculate:

wherein, 0≤x ₂≤ L;

Calculate Part III along described first crossbeam axial direction and perpendicular to the specific loading in described load p direction the moment of flexure of lower generation adopts following formula to calculate:

wherein, 0≤x ₃≤ a.

Preferably, calculate in step 12 honeycomb cell-wall along described first crossbeam axial direction and perpendicular to the distortion δ in described load p direction ₂following formula is adopted to calculate:

${\mathrm{\δ}}_2=\frac{1}{{2E}_{S}I}({\mathrm{PL}}^{2}a\sin \mathrm{\θ}\cos \mathrm{\θ}-\frac{4{\mathrm{Pa}}^3\sin \mathrm{\φ}\cos \mathrm{\φ}}{3}-{\mathrm{PLa}}^2\sin (\mathrm{\φ}-\mathrm{\θ})+\frac{{\mathrm{PL}}^3\sin \mathrm{\θ}\cos \mathrm{\θ}}{6}).$

Preferably, described step 13 adopt honeycomb cell-wall 1 described in following formulae discovery along described first crossbeam 11 axial direction and perpendicular to the strain stress in described load p direction ₂:

Preferably, in described step 14, described Poisson ratio V is asked by Poisson ratio formula ₁₂formula be: data in described step 13 and described step 10 are brought into:

$\begin{array}{c}{V}_{12}=\\ -\frac{(L\cos \mathrm{\θ}+2a\cos \mathrm{\φ})[6L^{2}a\sin \mathrm{\θ}\cos \mathrm{\θ}-8a^3\sin \mathrm{\φ}\cos \mathrm{\φ}-6{\mathrm{La}}^2\sin (\mathrm{\φ}-\mathrm{\θ})+L^3\sin \mathrm{\θ}\cos \mathrm{\θ}]}{(h+2a\sin \mathrm{\φ}-L\sin \mathrm{\θ})({6L}^{2}a{\sin }^2\mathrm{\θ}+{8a}^3{\sin }^2\mathrm{\φ}-{12\mathrm{La}}^2\sin \mathrm{\θ}\sin \mathrm{\φ}+L^3{\sin }^2\mathrm{\θ})}.\end{array}$

In the method for the equivalent Poisson ratio of calculating inner concave shape honeycomb of the present invention, by calculating the distortion δ of honeycomb cell-wall ₁thus try to achieve the strain stress of honeycomb cell-wall ₁, by trying to achieve the distortion δ of honeycomb cell-wall ₂thus try to achieve the strain stress of honeycomb cell-wall ₂, the equivalent Poisson ratio of honeycomb is then gone out by above-mentioned data of trying to achieve and Poisson ratio formulae discovery.

Compared to prior art, have the simple advantage of computing method, and adopt computing method of the present invention, it is accurate that it calculates data.

Accompanying drawing explanation

Fig. 1 is the structural representation calculating the honeycomb cell-wall in honeycomb to be measured according to the method for the equivalent Poisson ratio of calculating inner concave shape honeycomb of the present invention.

Fig. 2 is the structural representation of the equal portions to be measured in the honeycomb cell-wall shown in Fig. 1.

Fig. 3 adopts computing method of the present invention and the experimental data statistical graph adopting Finite Element Method to calculate the Poisson ratio of same honeycomb.

Reference numeral:

1	Honeycomb cell-wall	131	Part I
				11	First crossbeam	132	Part II
12	Second cross beam	133	Part III
				13	Equal portions to be measured

Embodiment

For making object of the invention process, technical scheme and advantage clearly, below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is further described in more detail.In the accompanying drawings, same or similar label represents same or similar element or has element that is identical or similar functions from start to finish.Described embodiment is the present invention's part embodiment, instead of whole embodiments.Be exemplary type below by the embodiment be described with reference to the drawings, be intended to for explaining the present invention, and can not limitation of the present invention be interpreted as.Based on the embodiment in the present invention, those of ordinary skill in the art, not making the every other embodiment obtained under creation type work prerequisite, belong to the scope of protection of the invention.Below in conjunction with accompanying drawing, embodiments of the invention are described in detail.

In describing the invention; it will be appreciated that; term " " center ", " longitudinal direction ", " transverse direction ", "front", "rear", "left", "right", " vertically ", " level ", " top ", " end " " interior ", " outward " etc. instruction orientation or position relationship be based on orientation shown in the drawings or position relationship; be only the present invention for convenience of description and simplified characterization; instead of instruction or imply indication device or element must have specific orientation, with specific azimuth configuration and operation, therefore can not be interpreted as limiting the scope of the invention.

Explanation of nouns:

Honeycomb cell-wall: the thin-walled of composition honeycomb cavernous structure is called honeycomb cell-wall.Such as: the Part I 131 in Fig. 1, Part II 132 is all honeycomb cell-wall.

Conveniently search, need the concrete meaning of the letter in the formula used in describing below being listed in herein, be understandable that, in the present invention, each letter all has its unique definition, in the describing of following formula, is neither repeating to introduce.

1, P: load;

2, M: the moment of flexure that equal portions to be measured produce when being subject to load p;

3, δ ₁: the distortion of honeycomb cell-wall 1, wherein, this is deformed into the distortion calculated according to the data of trying to achieve in step 7 and step 8;

4, ε ₁: the strain of honeycomb cell-wall, wherein, this time strain is according to δ ₁the strain obtained;

5, δ ₂: the distortion of honeycomb cell-wall 1, wherein, this is deformed into the distortion calculated according to the data of trying to achieve in step 7 and step 11;

6, ε ₂: the strain of honeycomb cell-wall, wherein, this time strain is according to δ ₂the strain obtained;

7, θ: be the angle between the direction of load p and the extension of Part II 132;

8, for the angle of the direction of load p and the extension of Part I 131 or Part III 133, wherein, because the direction of load p is equal with the angle number of degrees of the extension of Part III 133 with the direction of load p with the angle of Part I 131, and angle does not have directionality problem, therefore, in formula of the present invention, all with representative, is not carrying out Further Division;

9, L: be the development length of Part II 132;

10, a: be the development length of Part I 131 or Part III 133, wherein, because the development length of Part I 131 or Part III 133 is equal, and length does not have directionality problem, therefore, in formula of the present invention, namely all represent with a, namely do not carrying out Further Division;

11, V ₁₂: be Poisson ratio;

12, for in step 8, specific loading time Part I 131 moment of flexure;

13, for in step 8, specific loading time Part II 132 moment of flexure;

14, for in step 8, specific loading time Part III 133 moment of flexure;

15, x ₁for the distance of the top end points of Part I (131) any point in their extension direction and Part I (131);

16, x ₂for the distance of the top end points of Part II (132) any point in their extension direction and Part II (132);

17, x ₃for the distance of the top end points of Part III (133) any point in their extension direction and Part III (133);

18, E _s: be the elastic modulus of structured material;

19, I: be the used type square of honeycomb cell-wall 1;

20, t: be the thickness of honeycomb cell-wall 1;

21, b: be the vertical range between described first crossbeam and described second cross beam;

22, for: in a step 11, Part I 131 is in specific loading the moment of flexure of lower generation;

23, for: in a step 11, Part II 132 is in specific loading the moment of flexure of lower generation;

24, for: in a step 11, Part III 133 is in specific loading the moment of flexure of lower generation;

25, M ₁for: the moment of flexure of Part I (131);

26, M ₂for the moment of flexure of Part II (132);

27, M ₃for the moment of flexure of Part III (133); Wherein, M ₁, M ₂, M ₃for the moment of flexure in step 7.

Fig. 1 is the structural representation that the method for the equivalent Poisson ratio calculating inner concave shape honeycomb according to an embodiment of the invention calculates the honeycomb cell-wall in honeycomb to be measured.Fig. 2 is the structural representation of the equal portions to be measured in the honeycomb cell-wall shown in Fig. 1.

Method following steps according to the equivalent Poisson ratio of calculating inner concave shape honeycomb of the present invention:

Step 1: get any one honeycomb cell-wall 1 in honeycomb to be measured and do calculating object, honeycomb cell-wall 1 comprises first crossbeam 11, second cross beam 12 and the support column between first crossbeam 11 and second cross beam 12;

Step 2: divided equally by honeycomb cell-wall 1, gets wherein equal portions and does calculating object, and these equal portions are equal portions 13 to be measured; Wherein, between equal portions 13 to be measured and other equal portions, there is symmetric relation, particularly, see Fig. 1, in the present embodiment, by the mode that honeycomb cell-wall 1 is divided equally be: honeycomb cell-wall 1 is divided into quarter, wherein, equal portions 13 to be measured and the second equal portions are axially symmetrical, equal portions 13 to be measured and three equal parts radial symmetry, equal portions 13 to be measured and quarter Central Symmetry.

Be understandable that, such as, when the structure of honeycomb cell-wall is other shapes, under it has axisymmetric situation, honeycomb cell-wall only can be divided into two equal portions, wherein, mutual rotational symmetry between two equal portions.

See Fig. 1, in the present embodiment, equal portions to be measured comprise Part I 131, Part II 132 and Part III 133, Part I 131 is bent by one end of first crossbeam 11 and is extended and formed, and Part I 131 bends away from one end of first crossbeam 11 and extends, and forms Part II 132, Part II 132 bends away from one end of Part I 131 and extends, form Part III 133, wherein, the development length of Part I 131 is equal with the development length of Part III 133.

Step 3: measure the thickness t of honeycomb cell-wall 1 and the vertical range between first crossbeam and second cross beam.

Step 4: to junction imposed load P with first crossbeam 11 of Part I 131, wherein, the direction of load p be to second cross beam 12 vertically bearing of trend from this junction.

Step 5: direction and the angle of extension of Part I 131, the angle between the direction of load p and the extension of Part II 132 of measuring load p; The angle of the direction of load p and the extension of Part III 133, wherein, the angle between the direction of load p and the extension of Part II 132 is equal with the angle angle of the extension of Part III 133 with the direction of load p.

Step 6: calculate the moment M that equal portions 13 to be measured produce when being subject to load p, wherein, adopts following formula to calculate in this step:

Step 7: according to moment M, calculates the moment of flexure that Part I 131, Part II 132 and Part III 133 produce respectively; Wherein,

The formula of the moment of flexure that Part I 131 produces is:

The formula of the moment of flexure that Part II 132 produces is:

The formula of the moment of flexure that Part III 133 produces is:

Step 8: calculate Part I 131, Part II 132 and Part III 133 specific loading at load p equidirectional respectively the moment of flexure of lower generation wherein,

The bemding moment formula that Part I 131 produces is:

wherein, 0≤x ₁≤ a;

The formula of the moment of flexure of Part II 132 is:

wherein, 0≤x ₂≤ L;

The formula of the moment of flexure of Part III 133 is:

wherein, 0≤x ₃≤ a.

Step 9: according to the data of trying to achieve in step 7 and step 8, calculates the distortion δ of honeycomb cell-wall 1 ₁, particularly, adopt following formula to calculate:

=; Wherein, ${\mathrm{\δ}}_1=\frac{1}{{2E}_{S}I}({\mathrm{PL}}^{2}a{\sin }^2\mathrm{\θ}\frac{{4\mathrm{Pa}}^3{\sin }^2\mathrm{\φ}}{3}-{2\mathrm{PLa}}^2\sin \mathrm{\θ}\sin \mathrm{\φ}+\frac{{\mathrm{PL}}^3{\mathrm{SIN}}^2\mathrm{\θ}}{6}).$

Step 10: the distortion δ tried to achieve according to step 9 ₁, calculate the strain stress of honeycomb cell-wall 1 ₁, particularly, adopt following formula to calculate:

Step 11: calculate respectively Part I 131, Part II 132 and Part III 133 along first crossbeam 11 axial direction and perpendicular to the specific loading in load p direction the moment of flexure of lower generation, wherein, Part I 131 adopts following formula to calculate:

wherein, 0≤x ₁≤ a;

Part II 132 adopts following formula to calculate:

wherein, 0≤x ₂≤ L;

Part III 133 adopts following formula to calculate:

wherein, 0≤x ₃≤ a.

Step 12: according to the data of trying to achieve in step 11 and step 7, calculates the distortion δ of honeycomb cell-wall 1 ₂, particularly, adopt following formula to calculate:

${=;\mathrm{\δ}}_2=\frac{1}{{2E}_{S}I}({\mathrm{PL}}^{2}a\sin \mathrm{\θ}\cos \mathrm{\θ}-\frac{{4\mathrm{Pa}}^3\sin \mathrm{\φ}\cos \mathrm{\φ}}{3}-{\mathrm{PLa}}^2\sin (\mathrm{\φ}-\mathrm{\θ})+\frac{{\mathrm{PL}}^3\sin \mathrm{\θ}\cos \mathrm{\θ}}{6}).$

Step 13: according to the data δ of step 12 gained ₂, calculate the strain stress of honeycomb cell-wall 1 ₂, particularly, adopt following formula to calculate:

Step 14: the data obtained according to step 10 and step 13, goes out the equivalent Poisson ratio of honeycomb 1 by Poisson ratio formulae discovery, particularly, adopt following formula to calculate:

data in described step 13 and described step 10 are brought into:

$\begin{array}{c}{V}_{12}=\\ -\frac{(L\cos \mathrm{\θ}+2a\cos \mathrm{\φ})[6L^{2}a\sin \mathrm{\θ}\cos \mathrm{\θ}-8a^3\sin \mathrm{\φ}\cos \mathrm{\φ}-6{\mathrm{La}}^2\sin (\mathrm{\φ}-\mathrm{\θ})+L^3\sin \mathrm{\θ}\cos \mathrm{\θ}]}{(h+2a\sin \mathrm{\φ}-L\sin \mathrm{\θ})({6L}^{2}a{\sin }^2\mathrm{\θ}+{8a}^3{\sin }^2\mathrm{\φ}-{12\mathrm{La}}^2\sin \mathrm{\θ}\sin \mathrm{\φ}+L^3{\sin }^2\mathrm{\θ})}.\end{array}$

Be understandable that, in above-mentioned description, the direction tested as required is different, above-mentioned Poisson ratio formula: in molecule and denominator can intermodulation.

Fig. 3 adopts computing method of the present invention and the experimental data statistical graph adopting Finite Element Method to calculate the Poisson ratio of same honeycomb.

Wherein, honeycomb parameter is: a=1.67mm, L=5mm, h=5mm, t=0.0625mm, b=13.5mm; The material parameter of honeycomb is: Es=71000MPa, ν s=0.3.

Because finite element model is calculated as prior art, neither repeat at this.

As can be seen from the table, choose different θ with the Poisson ratio obtained after being calculated by method of the present invention is substantially identical with the numerical value of the Poisson ratio obtained by Finite Element Method, and error is also all identical.

Finally it is to be noted: above embodiment only in order to technical scheme of the present invention to be described, is not intended to limit.Although with reference to previous embodiment to invention has been detailed description, those of ordinary skill in the art is to be understood that: it still can be modified to the technical scheme described in foregoing embodiments, or carries out equivalent replacement to wherein portion of techniques feature; And these amendments or replacement, do not make the essence of appropriate technical solution depart from the spirit and scope of various embodiments of the present invention technical scheme.

Claims (10)

1. calculate a method for the equivalent Poisson ratio of inner concave shape honeycomb, it is characterized in that, comprise the steps:

Step 1: get any one honeycomb cell-wall (1) in honeycomb to be measured and do calculating object, described honeycomb cell-wall (1) comprises first crossbeam (11), second cross beam (12) and the support column between first crossbeam (11) and second cross beam (12);

Step 2: divided equally by described honeycomb cell-wall (1), gets wherein equal portions and does calculating object, and these equal portions are equal portions to be measured (13), wherein, between described equal portions to be measured (13) and other equal portions, there is symmetric relation, wherein, described equal portions to be measured comprise Part I (131), Part II (132) and Part III (133), Part I (131) is bent by one end of first crossbeam (11) and is extended and formed, described Part I (131) bends away from one end of described first crossbeam (11) and extends, form described Part II (132), described Part II (132) bends away from one end of described Part I (131) and extends, form described Part III (133), wherein, the development length of described Part I (131) is equal with the development length of described Part III (133),

Step 3: measure the thickness of described honeycomb cell-wall (1) and the vertical range between described first crossbeam and described second cross beam;

Step 4: to the junction imposed load P of described Part I (131) and described first crossbeam (11), wherein, the direction of described load p is to second cross beam (12) vertically extending direction from this junction;

Step 5: measure the angle of the direction of described load p and the extension of described Part I (131), the angle between the direction measuring described load p and the extension of described Part II (132); Measure the angle of the direction of described load p and the extension of described Part III (133), wherein, the angle between the direction of described load p and the extension of described Part II (132) is equal with the angle angle of the extension of described Part III (133) with the direction of described load p;

Step 6: calculate the moment M that described equal portions to be measured (13) produce when being subject to load p;

Step 7: according to described moment M, calculates the moment of flexure that described Part I (131), Part II (132) and Part III (133) produce respectively;

Step 8: calculate described Part I (131), Part II (132) and Part III (133) specific loading at described load p equidirectional respectively the moment of flexure of lower generation;

Step 9: according to the data of trying to achieve in step 7 and step 8, calculates the distortion δ of honeycomb cell-wall (1) ₁;

Step 10: the distortion δ tried to achieve according to step 9 ₁, calculate the strain stress of honeycomb cell-wall (1) ₁;

Step 11: calculate respectively described Part I (131), Part II (132) and Part III (133) along described first crossbeam (11) axial direction and perpendicular to the specific loading in described load p direction effect under the moment of flexure that produces;

Step 12: according to the data of trying to achieve in described step 11 and described step 7, calculates the distortion δ of described honeycomb cell-wall (1) ₂;

Step 13: according to the data δ of described step 12 gained ₂, calculate the strain stress of described honeycomb cell-wall (1) ₂;

Step 14: the data obtained according to described step 10 and step 13, goes out the equivalent Poisson ratio of described honeycomb (1) by Poisson ratio formulae discovery.

2. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 1, it is characterized in that, in described step 2, by the mode that described honeycomb cell-wall (1) is divided equally be: described honeycomb cell-wall (1) is divided into quarter, described equal portions to be measured (13) are equal portions, all the other are respectively the second equal portions, three equal parts and quarter, wherein, described equal portions to be measured (13) and the second equal portions are axially symmetrical, described equal portions to be measured (13) and three equal parts radial symmetry, described equal portions to be measured (13) and quarter Central Symmetry.

3. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 1, it is characterized in that, calculating the described formula that equal portions to be measured (13) are being subject to the moment M that load p place produces in described step 6 is: wherein,

L: be the development length of Part II (132);

A is the development length of Part I (131) or Part III (133);

P is load;

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132).

4. the as claimed in claim 3 method calculating the equivalent Poisson ratio of inner concave shape honeycomb, is characterized in that, calculates the bemding moment formula that described Part I (131) produces to be in described step 7:

Calculating the bemding moment formula that described Part II (132) produces is:

Calculating the bemding moment formula that described Part III (133) produces is: wherein,

M ₁for the moment of flexure of Part I (131); M ₂for the moment of flexure of Part II (132); M ₃for the moment of flexure of Part III (133);

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132);

P is load;

The moment of flexure that M is being subject to load p place produces for described equal portions to be measured (13);

X ₁for the distance of the top end points of Part I (131) any point in their extension direction and Part I (131); x ₂for the distance of the top end points of Part II (132) any point in their extension direction and Part II (132); x ₃for the distance of the top end points of Part III (133) any point in their extension direction and Part III (133);

L is the development length of Part II (132);

A is the development length of Part I (131) or Part II (132).

5. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 4, is characterized in that, calculate described Part I (131) in specific loading in described step 8 with the formula of the moment of flexure produced under described load p equidirectional be:

wherein, 0≤x ₁≤ a;

Described Part II (132) is in specific loading with the formula of the moment of flexure produced under described load p equidirectional be:

wherein, 0≤x ₂≤ L;

Described Part III (133) is in specific loading with the formula of the moment of flexure produced under described load p equidirectional be: wherein, 0≤x ₃≤ a; Wherein,

for unit load time Part I (131) moment of flexure; for unit load time Part II (132) moment of flexure; for unit load time Part III (133) moment of flexure;

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132);

X ₁for the distance of the top end points of Part I (131) any point in their extension direction and Part I (131); x ₂for the distance of the top end points of Part II (132) any point in their extension direction and Part II (132); x ₃for the distance of the top end points of Part III (133) any point in their extension direction and Part III (133);

L is the development length of Part II (132); A is the length that Part I (131) or Part II (133) extend.

6. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 5, it is characterized in that, described step 9 adopts following formulae discovery:

wherein,

E _sfor the elastic modulus of structured material;

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131)/or Part III (132);

L is the development length of Part II (132); A: be the development length of Part I (131) or Part III (133);

P: load;

I is the used type square of honeycomb cell-wall (1), passes through formula: I=bt ³/ 12 obtain, and wherein, t is the thickness of honeycomb cell-wall (1); B is the vertical range between described first crossbeam and described second cross beam.

7. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 6, is characterized in that, adopt the strain stress of following formulae discovery honeycomb cell-wall (1) on the action direction of the power with described load p ₁:

wherein,

L is the development length of Part II (132);

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132);

A: be the development length of Part I (131) or Part III (133).

8. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 7, it is characterized in that, the calculating Part I (131) in described step 11 along described first crossbeam (11) axial direction and perpendicular to the specific loading in described load p direction the moment of flexure of lower generation adopts following formula to calculate:

wherein, 0≤x ₁≤ a;

Calculate Part II (132) along described first crossbeam (11) axial direction and perpendicular to the specific loading in described load p direction the moment of flexure of lower generation adopts following formula to calculate:

wherein, 0≤x ₂≤ L;

Calculate Part III (133) along described first crossbeam (11) axial direction and perpendicular to the specific loading in described load p direction the moment of flexure of lower generation adopts following formula to calculate:

wherein, 0≤x ₃≤ a; Wherein,

for: Part I (131) is in specific loading the moment of flexure of lower generation;

for: Part II (132) is in specific loading the moment of flexure of lower generation

for: Part III (133) is in specific loading the moment of flexure of lower generation;

A: be the development length of Part I (131) or Part III (133);

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132); L is the development length of Part II (132);

X ₁for the distance of the top end points of Part I (131) any point in their extension direction and Part I (131); x ₂for the distance of the top end points of Part II (132) any point in their extension direction and Part II (132); x ₃for the distance of the top end points of Part III (133) any point in their extension direction and Part III (133).

9. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 8, it is characterized in that, calculate in step 12 honeycomb cell-wall (1) along described first crossbeam (11) axial direction and perpendicular to the distortion δ in described load p direction ₂following formula is adopted to calculate:

wherein,

A: be the development length of Part I 131 or Part III 133;

θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132);

L is the development length of Part II (132);

P: load.

10. the method calculating the equivalent Poisson ratio of inner concave shape honeycomb as claimed in claim 9, it is characterized in that, described step 13 adopt honeycomb cell-wall (1) described in following formulae discovery along described first crossbeam (11) axial direction and perpendicular to the strain stress in described load p direction ₂:

wherein,

L is the development length of Part II (132); θ is the angle between the direction of described load p and the extension of described Part II (132);

for the angle of the direction of described load p and the extension of described Part I (131) or Part III (132);

Described Poisson ratio V is asked by Poisson ratio formula in described step 14 ₁₂formula be: data in described step 13 and described step 10 are brought into: