CN109657293A - A kind of equivalent elastic modulus prediction technique of orthogonal ripple sandwich - Google Patents

A kind of equivalent elastic modulus prediction technique of orthogonal ripple sandwich Download PDF

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Publication number
CN109657293A
CN109657293A CN201811444469.9A CN201811444469A CN109657293A CN 109657293 A CN109657293 A CN 109657293A CN 201811444469 A CN201811444469 A CN 201811444469A CN 109657293 A CN109657293 A CN 109657293A
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elastic modulus
orthogonal
equivalent elastic
equivalent
ripple
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CN109657293B (en
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李会民
葛磊
刘宝生
苏浩然
冯天怡
周磊
方岱宁
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Beijing Institute of Technology BIT
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

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Abstract

The invention discloses a kind of equivalent elastic modulus prediction techniques of orthogonal ripple sandwich, wherein, orthogonal ripple sandwich is made of top panel, lower panel and core material, the sandwich uses two-directional corrugations orthogonal superposition, orthogonal ripple sandwich is divided into the identical representative cell element of multiple shapes first by the equivalent elastic modulus prediction technique of orthogonal ripple sandwich, then each cell element is equivalent at homogeneous material, the final equivalent elastic modulus for obtaining representative cell element.Friendship ripple sandwich equivalent elastic modulus prediction technique of the invention can be very good to predict the equivalent elastic modulus of the structure, have the advantages that high-efficient, calculating is accurate, and designability is good.

Description

A kind of equivalent elastic modulus prediction technique of orthogonal ripple sandwich
Technical field
The present invention relates to a kind of Mechanics Calculation methods of orthogonal ripple sandwich, and in particular to a kind of orthogonal ripple interlayer The equivalent elastic modulus prediction technique of structure.
Background technique
Ripple sandwich generally consists of three parts, and outermost is upper and lower panel, mainly carries direct stress；Middle layer is Core material mainly carries shear stress.It can be integrally formed between core material and panel, it can also be by the connection hand such as welding, being glued Section bonds together.Ripple sandwich takes full advantage of the high advantage of composite construction specific strength, specific modulus, improves by core material Cross sectional moment of inertia, to reach ideal structural mechanical property, application field is more and more extensive, is related to national defence, military affairs, vehicle , naval vessel, submarine, building, bridge etc..The ripple struction reported at present is usually in face in unidirectional corrugated form, in face Mechanical property has certain directionality, has the mechanical property in a direction very weak, propose it is a kind of have both direction intensity compared with High New type corrugated structural meaning is great.
Orthogonal thereto corrugated form in the core material face of orthogonal ripple struction has good mechanical property, but orthogonal Ripple struction is complicated so that the equivalent elastic modulus of the structure is not easy to obtain, at present mainly by finite element modelling or experiment come The design of dependency structure is carried out, method complexity is cumbersome, need to spend a large amount of manpower, material resources and financial resources, it is difficult to which engineering uses, and limits The application and development of the class formation.
Summary of the invention
In view of this, the present invention provides a kind of equivalent elastic modulus prediction technique of orthogonal ripple sandwich, the party Method can be good at predicting the equivalent elastic modulus of the structure, have the advantages that high-efficient, calculating is accurate, and designability is good.
A kind of equivalent elastic modulus prediction technique of orthogonal ripple sandwich, orthogonal ripple sandwich by top panel, Lower panel and core material composition, the positive and negative surface of the core material all have according to ranks rule be distributed pit, orthogonal section of pit Face be it is trapezoidal, in same row or column, positive pit forms trough, and the adjacent pit of reverse side forms wave crest, rule is consequently formed Sine bellows distribution；Top panel and lower panel are separately fixed at the upper and lower surface of core material；The realization step of the prediction technique is such as Under:
Step 1: orthogonal ripple sandwich is divided into the identical representative cell element of multiple shapes；
Step 2: each cell element is equivalent at homogeneous material；
Step 3: by assuming that obtaining the equivalent elastic modulus of representative cell element with analysis.
Further, the equivalent elastic modulus includes the equivalent elastic modulus in three directions.
Further, the equivalent elastic modulus calculation formula in three directions is as follows:
Using the midpoint of orthogonal ripple architecture front-side bottom as origin, with vertical direction and top panel and lower panel vertical direction For z-axis, other two completely identical in structure directions are respectively that x-axis and y-axis establish coordinate system,
Wherein, EzFor the equivalent elastic modulus of vertical direction, EyWith ExRespectively other two identical direction of structure is equivalent Elasticity modulus, E0For the elasticity modulus for manufacturing structure base material, c is the horizontal corrugation length of orthogonal ripple struction, and l is orthogonal ripple knot Structure tilts corrugation length, and θ is the angle that orthogonal ripple struction tilts ripple and vertical plane, and δ is the thickness of orthogonal ripple struction, t For the thickness of top panel, w is the thickness of lower panel.
The utility model has the advantages that
The present invention proposes one kind for orthogonal ripple sandwich and easily predicts three of them direction equivalent elastic modulus Method, the Elastic modulus prediction method can be good at for orthogonal ripple sandwich carry out performance prediction, solve Existing method can only be obtained by experiment and finite element, and process complexity is cumbersome, need to spend a large amount of manpower, material resources and financial resources, it is difficult to The shortcomings that engineering uses, increases the new structural designability, facilitates engineer application.
Detailed description of the invention
Fig. 1 is the orthogonal ripple sandwich perspective view of the explosion of the present invention
Fig. 2 is the orthogonal ripple sandwich oblique view of the present invention
Fig. 3 is the schematic diagram that the orthogonal ripple sandwich of the present invention removes lower panel
Fig. 4 is step flow chart of the invention
Fig. 5 is to invent the orthogonal main schematic diagram of ripple sandwich cell element
Wherein, 1- top panel, 2- core material, 3- lower panel.
Specific embodiment
The present invention will now be described in detail with reference to the accompanying drawings and examples.
As illustrated in the accompanying drawings from 1 to 3, orthogonal ripple sandwich of the invention is made of top panel 1, lower panel 3 and core material 2, core The positive and negative surface of material 2 all has the pit being distributed according to ranks rule, the orthogonal cross-sections of pit be it is trapezoidal, in same row or column, Positive pit forms trough, and the adjacent pit of reverse side forms wave crest, and the sine bellows distribution of rule is consequently formed；Top panel 1 The upper and lower surface of core material 2 is separately fixed at lower panel 3；
The present invention is directed to the equivalent elastic modulus prediction technique of orthogonal ripple sandwich, as shown in Fig. 4, the prediction side Steps are as follows for the realization of method:
Step 1: orthogonal ripple sandwich is divided into the identical representative cell element of multiple shapes, Cellular structure is for example attached Shown in Fig. 5；
Step 2: each cell element is equivalent at homogeneous material；
Step 3: by assuming that obtaining the equivalent elastic modulus of representative cell element with analysis, equivalent elastic modulus includes three The equivalent elastic modulus in a direction.
The equivalent elastic modulus calculation formula in three directions is as follows:
Using the midpoint of orthogonal ripple architecture front-side bottom as origin, with vertical direction and top panel and lower panel vertical direction For z-axis, other two completely identical in structure directions are respectively that x-axis and y-axis establish coordinate system,
Wherein, EzFor the equivalent elastic modulus of vertical direction, EyWith ExRespectively other two identical direction of structure is equivalent Elasticity modulus, E0For the elasticity modulus for manufacturing structure base material, c is the horizontal corrugation length of orthogonal ripple struction, and l is orthogonal ripple knot Structure tilts corrugation length, and θ is the angle that orthogonal ripple struction tilts ripple and vertical plane, and δ is the thickness of orthogonal ripple struction, t For the thickness of top panel, w is the thickness of lower panel.
In conclusion the above is merely preferred embodiments of the present invention, being not intended to limit the scope of the present invention. All within the spirits and principles of the present invention, any modification, equivalent replacement, improvement and so on should be included in of the invention Within protection scope.

Claims (3)

1. a kind of equivalent elastic modulus prediction technique of orthogonal ripple sandwich, orthogonal ripple sandwich by top panel, under Panel and core material composition, which is characterized in that the positive and negative surface of the core material all has the pit being distributed according to ranks rule, pit Orthogonal cross-sections be it is trapezoidal, in same row or column, positive pit forms trough, and the adjacent pit of reverse side forms wave crest, thus Form the sine bellows distribution of rule；Top panel and lower panel are separately fixed at the upper and lower surface of core material；The reality of the prediction technique It is existing that steps are as follows:
Step 1: orthogonal ripple sandwich is divided into the identical representative cell element of multiple shapes；
Step 2: each cell element is equivalent at homogeneous material；
Step 3: by assuming that obtaining the equivalent elastic modulus of representative cell element with analysis.
2. equivalent elastic modulus prediction technique as described in claim 1, which is characterized in that the equivalent elastic modulus includes The equivalent elastic modulus in three directions.
3. equivalent elastic modulus prediction technique as described in claim 1, which is characterized in that the Equivalent Elasticity in three directions Formula of modulus is as follows:
It is z with vertical direction and top panel and lower panel vertical direction using the midpoint of orthogonal ripple architecture front-side bottom as origin Axis, other two completely identical in structure directions are respectively that x-axis and y-axis establish coordinate system,
Wherein, EzFor the equivalent elastic modulus of vertical direction, EyWith ExRespectively other two identical direction Equivalent Elasticity of structure Modulus, E0For the elasticity modulus for manufacturing structure base material, c is the horizontal corrugation length of orthogonal ripple struction, and l is that orthogonal ripple struction inclines Oblique ripple length, θ are the angle that orthogonal ripple struction tilts ripple and vertical plane, and δ is the thickness of orthogonal ripple struction, and t is upper The thickness of panel, w are the thickness of lower panel.
CN201811444469.9A 2018-11-29 2018-11-29 Equivalent elastic modulus prediction method for orthogonal corrugated sandwich structure Active CN109657293B (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104163297A (en) * 2014-07-30 2014-11-26 王勤 Container bottom plate of double-layer orthogonal corrugated sandwich structure
CN106650141A (en) * 2016-12-29 2017-05-10 北京航空航天大学 Uncertainty analysis method for predicting performance of periodic material
CN108345742A (en) * 2018-02-08 2018-07-31 北京航空航天大学 A kind of vibration equivalence modeling method suitable for ripple sandwich structure

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104163297A (en) * 2014-07-30 2014-11-26 王勤 Container bottom plate of double-layer orthogonal corrugated sandwich structure
CN106650141A (en) * 2016-12-29 2017-05-10 北京航空航天大学 Uncertainty analysis method for predicting performance of periodic material
CN108345742A (en) * 2018-02-08 2018-07-31 北京航空航天大学 A kind of vibration equivalence modeling method suitable for ripple sandwich structure

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
H. MOHAMMADI 等: "An equivalent model for trapezoidal corrugated cores based on homogenization method", 《H. MOHAMMADI》 *
M. SHABAN 等: "Three-dimensional elasticity solution for sandwich panels with corrugated cores by using energy method", 《M. SHABAN》 *
冯丽娜 等: "复合材料波纹夹层圆柱壳设计及轴压性能", 《符合材料学报》 *

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