CN102840956A - Hole glue joint assembled single-layer spherical reticulated shell model making method - Google Patents

Hole glue joint assembled single-layer spherical reticulated shell model making method Download PDF

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CN102840956A
CN102840956A CN2012103364689A CN201210336468A CN102840956A CN 102840956 A CN102840956 A CN 102840956A CN 2012103364689 A CN2012103364689 A CN 2012103364689A CN 201210336468 A CN201210336468 A CN 201210336468A CN 102840956 A CN102840956 A CN 102840956A
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right cylinder
node
numbered
cylinder node
rod member
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CN102840956B (en
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张明
周广春
张瑀
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Harbin Institute of Technology
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Harbin Institute of Technology
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Abstract

The invention relates to a single-layer spherical reticulated shell model making method, particularly to a hole glue joint assembled single-layer spherical reticulated shell model making method, which solves the problems of the existing spherical reticulated shell model making method that the experimental model has bigger volume and lesser model modes, and a large amount of human and financial resources are required during the model making process. A bottom plate, a plurality of cylindrical nodes and a plurality of connecting rods are included in the method, wherein the cylindrical nodes are distributed hemispherically, every two neighboring cylindrical nodes are fixedly connected through a connecting rod, the cylindrical nodes and the connecting rods are formed into a reticulated hemisphere, and the open end of the reticulated hemisphere is fixedly mounted on the upper surface of the bottom plate. The hole glue joint assembled single-layer spherical reticulated shell model making method is used in the field of construction.

Description

A kind of hole glueds joint node assembled individual layer sphere net case model production method
Technical field
The present invention relates to a kind of individual layer sphere net case model production method, be specifically related to a kind of hole and glued joint node assembled individual layer sphere net case model production method.
Background technology
Latticed shell structure is because of its reasonable stress, remarkable advantage is widely used from heavy and light, anti-seismic performance be superior etc.Meanwhile; In view of the public character of latticed shell structure, significant, the colony sexual function of taking refuge; Work behavior analysis under extreme load action such as earthquake, high wind, blast impulse is had higher requirement to latticed shell structure; Do not have the dynamic buckling failure mode of sign such as latticed shell structure and study, latticed shell structure is work behavior research or the like under the blast impulse load action.Chinese scholars has been carried out big quantity research to failure mode and failure mechanism thereof under the latticed shell structure macroseism, be intended to be familiar with the rule that the net shell does not have the sign unstable failure, and then ability appropriate design net shell is to avoid occurring such catastrophe.But; The research of net shell is problem demanding prompt solution at present; Checking based on the qualitative analysis and the quantitative numerical simulation analysis of various theories needs empirical model could be confirmed its correctness and precision etc., and full scale test is infeasible, and the partial model test is reflect structure serviceability fully again.So, people expect can be consistent with the full size serviceability scaled model, carry out structural experiment analysis and research.At present, there is following shortcoming in the sphere net case model production method: adopt solder technology, volume is bigger more; The model node is less, can only be in the assembling of inside, laboratory, and needing crane to cooperate could move; And in the manufacturing process of model, need cost great amount of manpower financial resources.Particularly, because the peculiar structure of latticed shell structure, scaled model need reflect the real work behavior of full size latticed shell structure, therefore Model Design and manufacture craft has been proposed distinctive requirement, at present domestic making precedent of not seeing such model.
Summary of the invention
The present invention is big for the empirical model volume that solves existing sphere net case model production method making, the model node is less; And need the problem of cost great amount of manpower financial resources in the modelling process, and then propose a kind of hole splicing node assembled individual layer sphere net case model production method.
The present invention addresses the above problem the technical scheme of taking to be: hole according to the invention glueds joint node assembled individual layer sphere net case model and comprises base plate, a plurality of right cylinder node and a plurality of rod members that are connected; A plurality of right cylinder nodes are the hemisphere face distributed and arranged; Adjacent two right cylinder nodes are fixedly connected through connecting rod member; A plurality of right cylinder nodes form netted hemisphere face with a plurality of rod members that are connected; Said netted hemispherical openend is fixedly mounted on the upper surface of base plate, and the concrete steps that a kind of hole according to the invention glueds joint node assembled individual layer sphere net case model production method are following:
Step 1, according to actual needs confirm the sphere net case model span, ratio of rise to span, each connects material, sectional dimension, each right cylinder node size of rod member;
Step 2, on puller system, do three groups of wood property experiments, measure the elastic modulus and the tangent stiffness that connect rod member connecting rod member;
Step 3, application of finite element software carry out finite element modeling to the sphere net case model; Based on FEM model the cylinder node in the sphere net case model is numbered; And calculate between adjacent two cylinder nodes the length that connects rod member; Greatest axis power when each connection rod member collapses under the dynamic load effect, each connects the axle power after rod member and the gluing of corresponding cylinder node, the hoop angle of each cylinder node and vertical angle;
If adjacent three right cylinder nodes be numbered i, j, k, the coordinate that then is numbered the right cylinder node of i is (x i, y i, z i), the coordinate that is numbered the right cylinder node of j is (x j, y j, z j), the coordinate that is numbered the right cylinder node of k is (x k, y k, z k),
A), calculate the length L that is connected rod member between right cylinder node that is numbered i and the right cylinder node that is numbered j Ij:
L ij = ( x i - x j ) 2 + ( y i - y j ) 2 + ( z i - z j ) 2
B), calculate the greatest axis power N that connects rod member under the dynamic load effect when sphere net case model collapses 1With right cylinder node and the axle power N that is connected the glued rear connecting rod spare of rod member 2:
N 1=σ maxN·S 1
Figure BDA00002129148100022
Formula is 2. and 3., σ MaxNThe sphere net case model of expression dynamic response connects the maximum axial stress of rod member, S 1The cross-sectional area of connecting rod for indication spare, τ are represented the shearing strength of J39 glue, the girth of the cylindrical of l connecting rod for indication spare xsect, and the diameter of d connecting rod for indication spare xsect cylindrical, h connecting rod for indication spare inserts the degree of depth of right cylinder node;
C), calculate and to be numbered the right cylinder node of i and to be numbered the right cylinder node of j and to be numbered the hoop angle [alpha] between the right cylinder node of k:
α = arccos b 2 + c 2 - a 2 2 bc
Distance between the right cylinder node that the 4. middle a of formula representes to be numbered the right cylinder node of j and to be numbered k, and
Figure BDA00002129148100024
Distance between the right cylinder node that b representes to be numbered the right cylinder node of i and to be numbered j, and
Figure BDA00002129148100025
Distance between the right cylinder node that c representes to be numbered the right cylinder node of i and to be numbered k, and c = ( x i - x k ) 2 + ( y i - y k ) 2 ;
D), calculate and to be numbered the right cylinder node of i and to be numbered the vertical angle beta between the right cylinder node of k:
β = arccos hik lik
Distance between the right cylinder node that the 5. middle hik of formula representes to be numbered the right cylinder node of i and to be numbered k, and hik=z i-z kIn vertical direction distance between the right cylinder node that lik representes to be numbered the right cylinder node of i and to be numbered k, and Lik = ( x i - x k ) 2 + ( y i - y k ) 2 + ( z i - z k ) 2 ;
Vertical angle of the right cylinder node that step 4, basis have calculated utilizes laser cutting machine to cut the cushion block of respective angles, and pad is in the side of right cylinder node;
Step 5, fixed cylinder body node are used spark-erosion perforating machine fixedly test specimen device, hoop angle control paster and angle control cushion block, and the right cylinder node is fixed;
Step 6, utilize spark-erosion perforating machine, the right cylinder node is punched;
Step 7, repeating step four be to step 8, until with porose the completing on each right cylinder node;
Step 8, assembling net shell, concrete steps are:
Step 8 (one), polished in the end that connects rod member;
Step 8 (two), smear J39 glue, then each is connected rod member and insert in the hole on the corresponding right cylinder node in each end that connects rod member;
Step 8 (three), assemble the sphere net case solid model in order.
The invention has the beneficial effects as follows: manufacturing process of the present invention is easy, saves a large amount of manpower and financial resources, and little, the conveniently moving of making of sphere net case model volume; Can be on easy small vibration platform the dynamically working performance of Test Network shell model; Experimental period is short, and experimentation can freely be controlled
Description of drawings
Fig. 1 is the vertical view that hole glueds joint node assembled individual layer sphere net case model; Fig. 2 is numbered i; J; The structural representation of three right cylinder nodes of k; α representes to be numbered the right cylinder node of i and is numbered the right cylinder node of j and is numbered the hoop angle between the right cylinder node of k among Fig. 2, and Fig. 3 is the right cylinder node and the spatial relation figure that is numbered the right cylinder node of k, the vertical angle between the right cylinder node that β representes to be numbered the right cylinder node of i and to be numbered k among Fig. 3 that is numbered i.
Embodiment
Embodiment one: combine Fig. 1, Fig. 2 and Fig. 3 that this embodiment is described; The said a kind of hole of this embodiment glueds joint node assembled individual layer sphere net case model production method; The glued individual layer sphere net case of said assembled jewel hole model comprises base plate 1, a plurality of right cylinder node 2 and a plurality of rod members 3 that are connected; A plurality of right cylinder nodes 2 are the hemisphere face distributed and arranged; Adjacent two right cylinder nodes 2 are fixedly connected through connecting rod member 3; A plurality of right cylinder nodes 2 form netted hemisphere face with a plurality of rod members 3 that are connected, and said netted hemispherical openend is fixedly mounted on the upper surface of base plate 1, and the concrete steps that said a kind of hole glueds joint node assembled individual layer sphere net case model production method are following:
Step 1, according to actual needs confirm the sphere net case model span, ratio of rise to span, each connects material, sectional dimension, each right cylinder node 2 size of rod member 3;
Step 2, on puller system, do three groups of wood property experiments, measure the elastic modulus and the tangent stiffness that connect rod member 3 connecting rod member 3;
Step 3, application of finite element software carry out finite element modeling to the sphere net case model; According to finite element model the right cylinder node 2 in the sphere net case model is numbered; And calculate between adjacent two right cylinder nodes 2 length that connects rod member 3; Greatest axis power when each connection rod member 3 collapses under the dynamic load effect, each connects the axle power after rod member 3 and corresponding right cylinder node 2 gluings, the hoop angle of each right cylinder node 2 and vertical angle;
If adjacent three right cylinder nodes 2 be numbered i, j, k, the coordinate that then is numbered the right cylinder node 2 of i is (x i, y i, z i), the coordinate that is numbered the right cylinder node 2 of j is (x j, y j, z j), the coordinate that is numbered the right cylinder node 2 of k is (x k, y k, z k),
A), calculate the length L that is connected rod member (3) between right cylinder node 2 that is numbered i and the right cylinder node 2 that is numbered j Ij:
L ij = ( x i - x j ) 2 + ( y i - y j ) 2 + ( z i - z j ) 2
B), calculate the greatest axis power N that connects rod member 3 under the dynamic load effect when sphere net case model collapses 1With right cylinder node 2 and the axle power N that is connected rod member 3 glued rear connecting rod spares 3 2:
N 1=σ maxN·S 1
Figure BDA00002129148100042
Formula is 2. and 3., σ MaxNThe sphere net case model of expression dynamic response connects the maximum axial stress of rod member 3, S 1The cross-sectional area of connecting rod for indication spare 3, τ are represented the shearing strength of J39 glue, the girth of the cylindrical of l connecting rod for indication spare 3 xsects, and the diameter of d connecting rod for indication spare 3 xsect cylindricals, h connecting rod for indication spare 3 inserts the degree of depth of right cylinder node 2;
C), calculate and to be numbered the right cylinder node 2 of i and to be numbered the right cylinder node 2 of j and to be numbered the hoop angle [alpha] between the right cylinder node 2 of k:
α = arccos b 2 + c 2 - a 2 2 bc
Distance between the right cylinder node 2 that the 4. middle a of formula representes to be numbered the right cylinder node 2 of j and to be numbered k, and
Figure BDA00002129148100052
Distance between the right cylinder node 2 that b representes to be numbered the right cylinder node 2 of i and to be numbered j, and
Figure BDA00002129148100053
Distance between the right cylinder node 2 that c representes to be numbered the right cylinder node 2 of i and to be numbered k, and c = ( x i - x k ) 2 + ( y i - y k ) 2 ;
D), calculate and to be numbered the right cylinder node 2 of i and to be numbered the vertical angle beta between the right cylinder node 2 of k:
β = arccos hik lik
Distance between the right cylinder node 2 that the 5. middle hik of formula representes to be numbered the right cylinder node 2 of i and to be numbered k, and hik=z i-z kIn vertical direction distance between the right cylinder node 2 that lik representes to be numbered the right cylinder node 2 of i and to be numbered k, and Lik = ( x i - x k ) 2 + ( y i - y k ) 2 + ( z i - z k ) 2 ;
Vertical angle of the right cylinder node 2 that step 4, basis have calculated utilizes laser cutting machine to cut the cushion block of respective angles, and pad is in the side of right cylinder node 2;
Step 5, fixed cylinder body node 2 are used spark-erosion perforating machine fixedly test specimen device, hoop angle control paster and angle control cushion block, and right cylinder node 2 is fixing;
Step 6, utilize spark-erosion perforating machine, right cylinder node 2 is punched;
Step 7, repeating step four be to step 8, until with porose the completing on each right cylinder node 2;
Step 8, assembling net shell, concrete steps are:
Step 8 (one), polished in the end that connects rod member 3;
Step 8 (two), smear J39 glue, then each is connected in the hole that rod member 3 inserts on the corresponding right cylinder node 2 in each end that connects rod member 3;
Step 8 (three), assemble the sphere net case solid model in order.
J39 glue is the J39 room temperature fast-curing tackifier that Heilongjiang Provincial Petroleum Chemistry Inst. produces in this embodiment.
In this embodiment in the step 3 centre of sphere with the sphere net case model be that true origin is set up three-dimensional system of coordinate.
Embodiment two: combine Fig. 1 that this embodiment is described; Before utilizing spark-erosion perforating machine that right cylinder node 2 is punched in the step 6 of the said a kind of hole splicing node assembled individual layer sphere net case model production method of this embodiment, confirm the external diameter of electric discharge machine wire electrode earlier according to the external diameter that connects rod member 3; According to the hole degree of depth on the right cylinder node 2 and wire electrode loss rate, confirm the wire electrode travel distance then.Other compositions and annexation are identical with embodiment one.

Claims (2)

1. a hole glueds joint node assembled individual layer sphere net case model production method; Described hole glueds joint node assembled individual layer sphere net case model and comprises base plate (1), a plurality of right cylinder node (2) and a plurality of rod members (3) that are connected; A plurality of right cylinder nodes (2) are the hemisphere face distributed and arranged; Adjacent two right cylinder nodes (2) are fixedly connected through connecting rod member (3); A plurality of right cylinder nodes (2) form netted hemisphere face with a plurality of rod members (3) that are connected, and said netted hemispherical openend is fixedly mounted on the upper surface of base plate (1), it is characterized in that: the concrete steps that said a kind of hole glueds joint node assembled individual layer sphere net case model production method are following:
Step 1, according to actual needs confirm the sphere net case model span, ratio of rise to span, each connects material, sectional dimension, each right cylinder node (2) size of rod member (3);
Step 2, on puller system, do three groups of wood property experiments, measure the elastic modulus and the tangent stiffness that connect rod member (3) connecting rod member (3);
Step 3, application of finite element software carry out finite element modeling to the sphere net case model; According to finite element model the right cylinder node (2) in the sphere net case model is numbered; And calculate the length that connects rod member (3) between adjacent two right cylinder nodes (2); Greatest axis power when each connection rod member (3) collapses under the dynamic load effect, each connects the axle power after rod member (3) and corresponding right cylinder node (2) gluing, the hoop angle of each right cylinder node (2) and vertical angle;
If adjacent three right cylinder nodes (2) be numbered i, j, k, the coordinate that then is numbered the right cylinder node (2) of i is (x i, y i, z i), the coordinate that is numbered the right cylinder node (2) of j is (x j, y j, z j), the coordinate that is numbered the right cylinder node (2) of k is (x k, y k, z k),
A), calculate the length L that is connected rod member (3) between right cylinder node (2) that is numbered i and the right cylinder node (2) that is numbered j Ij:
L ij = ( x i - x j ) 2 + ( y i - y j ) 2 + ( z i - z j ) 2
B), calculate the greatest axis power N that connects rod member (3) under the dynamic load effect when sphere net case model collapses 1With right cylinder node (2) and the axle power N that is connected the glued rear connecting rod spare of rod member (3) (3) 2:
N 1=σ maxN·S 1
Figure FDA00002129148000012
Formula is 2. and 3., σ MaxNThe sphere net case model of expression dynamic response connects the maximum axial stress of rod member (3), S 1The cross-sectional area of connecting rod for indication spare (3), τ representes the shearing strength of J39 glue, the girth of the cylindrical of l connecting rod for indication spare (3) xsect, the diameter of d connecting rod for indication spare (3) xsect cylindrical, h connecting rod for indication spare (3) inserts the degree of depth of right cylinder node (2);
C), calculate and to be numbered the right cylinder node (2) of i and to be numbered the right cylinder node (2) of j and to be numbered the hoop angle [alpha] between the right cylinder node (2) of k:
α = arccos b 2 + c 2 - a 2 2 bc
Distance between the right cylinder node (2) that the 4. middle a of formula representes to be numbered the right cylinder node (2) of j and to be numbered k, and
Figure FDA00002129148000022
Distance between the right cylinder node (2) that b representes to be numbered the right cylinder node (2) of i and to be numbered j, and
Figure FDA00002129148000023
Distance between the right cylinder node (2) that c representes to be numbered the right cylinder node (2) of i and to be numbered k, and c = ( x i - x k ) 2 + ( y i - y k ) 2 ;
D), calculate and to be numbered the right cylinder node (2) of i and to be numbered the vertical angle beta between the right cylinder node (2) of k:
β = arccos hik lik
Distance between the right cylinder node (2) that the 5. middle hik of formula representes to be numbered the right cylinder node (2) of i and to be numbered k, and hik=z i-z kIn vertical direction distance between the right cylinder node (2) that lik representes to be numbered the right cylinder node (2) of i and to be numbered k, and Lik = ( x i - x k ) 2 + ( y i - y k ) 2 + ( z i - z k ) 2 ;
Vertical angle of the right cylinder node (2) that step 4, basis have calculated utilizes laser cutting machine to cut the cushion block of respective angles, and pad is in the side of right cylinder node (2);
Step 5, fixed cylinder body node (2) are used spark-erosion perforating machine fixedly test specimen device, hoop angle control paster and angle control cushion block, and right cylinder node (2) is fixing;
Step 6, utilize spark-erosion perforating machine, right cylinder node (2) is punched;
Step 7, repeating step four be to step 8, until with porose the completing on each right cylinder node (2);
Step 8, assembling net shell, concrete steps are:
Step 8 (one), polished in the end that connects rod member (3);
Step 8 (two), smear J39 glue, then each is connected rod member (3) and insert in the hole on corresponding right cylinder node (2) in each end that connects rod member (3);
Step 8 (three), assemble the sphere net case solid model in order.
2. glued joint node assembled individual layer sphere net case model production method according to the said a kind of hole of claim 1; It is characterized in that: before utilizing spark-erosion perforating machine that right cylinder node (2) is punched in the step 6, confirm the external diameter of electric discharge machine wire electrode earlier according to the external diameter that connects rod member (3); According to the hole degree of depth on the right cylinder node (2) and wire electrode loss rate, confirm the wire electrode travel distance then.
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CN103821227A (en) * 2014-03-03 2014-05-28 周广恩 Semispherical roof panel reticulated shell structure with vertical rod supporting for quick assembly
CN105604184A (en) * 2016-03-02 2016-05-25 上海零碳建筑科技有限公司 Spherical-surface single-storey-building reticulated shell
CN105735475A (en) * 2016-04-07 2016-07-06 上海零碳建筑科技有限公司 Spherical building taking film steel structure as main body
CN107421509A (en) * 2017-07-10 2017-12-01 同济大学 A kind of high-speed video measuring method of reticulated shell type Approaches for Progressive Collapse of Structures
CN109877512A (en) * 2019-03-18 2019-06-14 兰州理工大学 K6 type Single-layer Spherical Lattice Shell Structure scaled model builds moulding bed and construction method

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Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103821227A (en) * 2014-03-03 2014-05-28 周广恩 Semispherical roof panel reticulated shell structure with vertical rod supporting for quick assembly
CN103821227B (en) * 2014-03-03 2016-09-28 周广恩 A kind of have that vertical member supports can the hemispherical refractory slab latticed shell structure of quick assembling
CN105604184A (en) * 2016-03-02 2016-05-25 上海零碳建筑科技有限公司 Spherical-surface single-storey-building reticulated shell
CN105735475A (en) * 2016-04-07 2016-07-06 上海零碳建筑科技有限公司 Spherical building taking film steel structure as main body
CN107421509A (en) * 2017-07-10 2017-12-01 同济大学 A kind of high-speed video measuring method of reticulated shell type Approaches for Progressive Collapse of Structures
CN107421509B (en) * 2017-07-10 2019-08-02 同济大学 A kind of high-speed video measurement method of reticulated shell type Approaches for Progressive Collapse of Structures
CN109877512A (en) * 2019-03-18 2019-06-14 兰州理工大学 K6 type Single-layer Spherical Lattice Shell Structure scaled model builds moulding bed and construction method

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