CN110059382A - A kind of heavy machine tool composite foundation design method of non-homogeneous reinforcing layer - Google Patents

A kind of heavy machine tool composite foundation design method of non-homogeneous reinforcing layer Download PDF

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CN110059382A
CN110059382A CN201910269045.1A CN201910269045A CN110059382A CN 110059382 A CN110059382 A CN 110059382A CN 201910269045 A CN201910269045 A CN 201910269045A CN 110059382 A CN110059382 A CN 110059382A
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stress
foundation
machine tool
reinforcing layer
formula
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CN110059382B (en
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刘志峰
许鑫鹏
程强
田杨
张涛
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Beijing University of Technology
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Beijing University of Technology
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Abstract

The invention discloses a kind of heavy machine tool composite foundation design methods of non-homogeneous reinforcing layer, this method redesigns traditional machine tool basic structure, the drawbacks of spending huge raising caused by the bottom structure rigidity of traditional infrastructure is superfluous is avoided, and can guarantee the bearing capacity on basis.The method applied in the present invention solves the displacement component of each point of basic internal, and that realizes composite foundation pours construction.Heavy digital control machine tool system is divided into three parts, i.e. superstructure, basis and ground.And the excavation of foundation will even be higher by the price of lathe itself with expense caused by pouring, it is therefore necessary to study the design of the structure of foundation, to be reduced as far as paying wages in the case where guaranteeing that soil rigidity meets machine tooling requirement.On the one hand the present invention guarantees bearing capacity of the concrete to machine tooling when by the way of the sparse arrangement reinforcing layer in bottom, the construction that still further aspect reduces machine tool basic by reducing bottom reinforcing layer is paid wages.

Description

A kind of heavy machine tool composite foundation design method of non-homogeneous reinforcing layer
Technical field
This patent is related to heavy machine tool-foundation design and construction field, studies especially in basic constructional design Field is equally applicable to small-size experiment equipment field.
Background technique
In recent years, as State Council implements multiple emphasis special plans, government is persistently increased to aerospace, nuclear power wind The fund and human input dynamics of the key projects such as electricity, railway locomotive, ship naval vessels, communications and transportation.The key zero of engineering equipment Component is large scale, gross ton position, high-precision workpiece, processes such typical part to accept, must just develop high level Large size, heavy type, superduty numerically-controlled machine tool.Heavy digital control machine tool system is divided into three parts, as shown in Figure 1, i.e. superstructure (Longmen machine tool 1), basis 2 and ground 3, usually regard ground 3 as elastic half-space.And the excavation of foundation and pouring institute The expense of generation will even be higher by the price of lathe itself, it is therefore necessary to study the design of the structure of foundation, thus protecting In the case that card soil rigidity meets machine tooling requirement, it is reduced as far as paying wages.
Traditional foundation structure is as shown in Fig. 2, consist of three parts, and 4 be concrete, and 5 be lateral Netted valve blade layer, and 6 are Longitudinal direction is netted to step up layer.5 and 6 are usually welded and fixed with rectangular bend reinforcement.The cutting depth of usual ground reaches 6-8m, namely It is the pouring depth on basis.And the length on basis is different, few then 15m, Duo Zeda 80m.And it is spread in such basis closely knit Netted valve blade layer, it is costly.The novel heavy duty machine tool basic structure of this invention can guarantee machine finish Under the premise of, by way of using sparse cloth muscle to foundation bottom, to realize that machine tool basic builds the reduction of spending.
Summary of the invention
It is an object of the present invention to redesign to traditional machine tool basic structure, the bottom of traditional infrastructure is avoided The drawbacks of spending huge raising caused by the rigidity of structure is superfluous, and can guarantee the bearing capacity on basis.
To achieve the goals above, the method applied in the present invention solves the displacement component of each point of basic internal, real Existing composite foundation pours construction.This method includes following process:
Step 1, the components of stress for solving basic internal.Assuming that is to say on basic boundary by the effect of normal direction concentrated force F Longmen machine tool self gravity is applied to by its two edge column on the basis of power, as shown in Figure 4.
Stress function φ are as follows:
φ=rf (θ) (1)
Wherein, r --- polar diameter；
θ --- polar angle；
The compatible equations carried it under polar coordinates obtain:
It can be obtained after solving the differential equation,
F (θ)=Acos θ+Bsin θ+θ (Ccos θ+Dsin θ)
Wherein, A, B, C, D are undetermined coefficient；
Being substituted into formula (1) can obtain:
φ=Arcos θ+Brsin θ+r θ (Ccos θ+Dsin θ)
It is learnt again by Elasticity, any stress function adds a linear function, stress is had no effect on, so can omit Arcos θ+Brsin θ=Ax+By, then stress function is writeable are as follows:
φ=r θ (Ccos θ+Dsin θ)
Solving the components of stress by stress function can obtain:
As Fig. 4 is indicated, wherein σr、σθFor the direct stress on polar diameter under polar coordinates, polar angle direction；τrθIt is then shearing stress.
Step 2 considers boundary condition, solves undetermined coefficient.Near origin O, appoint and take a section, such as cylindrical surface abc, then On the cylindrical surface, centainly there is such balanced system of force, is the section and F synthesis balanced system of force, then column write equilibrium condition, Obtain undetermined coefficient:
That is the direction x, y resultant force is 0, obtains equilibrium equation:
The first formula in formula (2) is substituted into formula (3), is obtained:
Formula (4) is substituting to polar coordinates into the transform of rectangular co-ordinate, obtains the components of stress under rectangular co-ordinate are as follows:
Step 3 solves displacement component.Components of stress equation (5) under rectangular coordinate system is substituted into the object in Elasticity Deformation component can be obtained in reason equation:
Formula (6) are substituted into geometric equation again, displacement component can be obtained:
Because not can determine that containing constant C in the middle.Therefore base can be taken in vertical direction (x-axis direction) farthest on basis Point B, it is known that its displacement uxB=0, then it finds out in the vertical direction, relative displacement of any point M for basic point B:
It is therefore seen that relative displacement Δ u is about xB/xMLogarithmic function, to make the change rate of Δ u as much as possible Greatly, illustrate the decaying of its deformation displacement quickly, (be also equal to x as the height h of closely knit reinforcing layer at this momentM).Known xB, that is to say The pouring depth of concrete foundation can be obtained by image in 5 < xB/xMBetween < 25, linear increase is presented in Δ u approximation, and change rate is very It is small；xB/xMRate of decay is risen when < 5, chooses certain safety coefficient, such as xB/xM=2.5, then with concreting Height xBFor=6 meters, then need in xM=2.4 meters of above sections, can do reinforcing rib processing.And 2.4 meters or less can then use The mode of sparse cloth muscle, as shown in Figure 5.
It is found that when with height of foundation xBWhen for=6 meters, xMAt 2.4 meters the above are the biggish part of deformed region, can do Reinforcing rib processing.When different height of foundation, it can be adjusted according to relative displacement equation (8).
A kind of heavy machine tool composite foundation of novel vertical non-homogeneous cloth muscle is designed as a result,.It excavates in ground until compacting Afterwards, it sparse can be arranged positioned at the steel bar layer of foundation bottom, because the stress that foundation bottom is born is smaller.And more up construct, Intensive cloth muscle is then needed, it is larger in the position stress close to machine pillar because based on.In this process, height h can be by opposite Displacement formula is calculated.
Through this structure, that is, it can avoid arranging the situation of rigidity excess produced by steel bar layer in foundation bottom, protect Bearing capacity necessary to machine tool basic is demonstrate,proved, and can be reduced the spending on machine tool basic.
Detailed description of the invention
Fig. 1 is lathe-foundation system；
Fig. 2 is traditional machine tool foundation structure sketch plan；
Fig. 3 is non-homogeneous formula basis cloth muscle structure overview.
Fig. 4 is lathe and foundation structure mechanics principle figure.
Fig. 5 is Δ u about xB/xMLogarithmic function relational graph.
In figure: 1 be Longmen machine tool, 2 based on, 3 be ground, 4 be concrete, 5 be transversal reinforcement layer, 6 be vertical reinforced Layer, 7 are to need closely knit cloth muscle height of foundation.
Specific embodiment
The present invention will be described in detail with reference to the accompanying drawings of the specification.
It is as shown in Figure 1-Figure 3 a kind of sketch plan of novel heavy duty lathe composite foundation.There is lathe-foundation system overview 1, traditional machine tool foundation structure sketch plan 2, novel lathe foundation structure sketch plan 3.In figure: 1 be Longmen machine tool, 2 based on, 3 be ground Base, 4 be concrete, 5 be transversal reinforcement layer, 6 be vertical reinforced layer, 7 be to need closely knit cloth muscle height of foundation.Main thinking is as schemed Shown in 3, excavated after compacting in ground, the steel bar layer positioned at foundation bottom sparse can arrange.And more up construct, then it needs Intensive cloth muscle.In this process, height h can be calculated by relative displacement formula.Through this structure, that is, it can avoid in base The situation of rigidity excess produced by steel bar layer is arranged in plinth bottom, reduces the spending in machine tool basic construction.

Claims (3)

1. a kind of heavy machine tool composite foundation design method of non-homogeneous reinforcing layer, it is characterised in that: this method includes as flowed down Journey,
Step 1, the components of stress for solving basic internal；Assuming that is to say gantry by the effect of normal direction concentrated force F on basic boundary Lathe self gravity is applied to by its two edge column on the basis of power,
Stress function φ are as follows:
φ=rf (θ) (1)
Wherein, r --- polar diameter；
θ --- polar angle；
The compatible equations carried it under polar coordinates obtain:
It can be obtained after solving the differential equation,
F (θ)=Acos θ+Bsin θ+θ (Ccos θ+Dsin θ)
Wherein, A, B, C, D are undetermined coefficient；
Being substituted into formula (1) can obtain:
φ=Arcos θ+Brsin θ+r θ (Ccos θ+Dsin θ)
It is learnt again by Elasticity, any stress function adds a linear function, stress is had no effect on, so can omit Arcos θ+Brsin θ=Ax+By, then stress function is writeable are as follows:
φ=r θ (Ccos θ+Dsin θ)
Solving the components of stress by stress function can obtain:
Wherein, σr、σθFor the direct stress on polar diameter under polar coordinates, polar angle direction；τrθIt is then shearing stress；
Step 2 considers boundary condition, solves undetermined coefficient；Near origin O, appoint and take a section, such as cylindrical surface abc, then at this On cylindrical surface, centainly there is such balanced system of force, is the section and F synthesis balanced system of force, then column write equilibrium condition, obtain Undetermined coefficient:
That is the direction x, y resultant force is 0, obtains equilibrium equation:
The first formula in formula (2) is substituted into formula (3), is obtained:
Formula (4) is substituting to polar coordinates into the transform of rectangular co-ordinate, obtains the components of stress under rectangular co-ordinate are as follows:
Step 3 solves displacement component；Components of stress equation (5) under rectangular coordinate system is substituted into the physics side in Elasticity Cheng Zhongke obtains deformation component:
Formula (6) are substituted into geometric equation again, displacement component can be obtained:
Because not can determine that containing constant C in the middle；Therefore basic point B is taken in the vertical direction, that is, x-axis direction farthest on basis, it is known that Its displacement uxB=0, then it finds out in the vertical direction, relative displacement of any point M for basic point B:
Relative displacement Δ u is about xB/xMLogarithmic function, to make the change rate of Δ u as much as possible big, illustrate its deformation Displacement decaying quickly, is also equal to x as the height h of closely knit reinforcing layer at this momentM；Known xB, that is to say the pouring of concrete foundation Depth can be obtained by image in 5 < xB/xMBetween < 25, linear increase, change rate very little is presented in Δ u approximation；xB/xMIt declines when < 5 The rate of deceleration is risen, and certain safety coefficient, such as x are chosenB/xM=2.5, then with concreting height xB=6 meters are Example, then need in xM=2.4 meters of above sections, can do reinforcing rib processing；And 2.4 meters or less then can be using the side of sparse cloth muscle Formula；
It is found that when with height of foundation xBWhen for=6 meters, xMAt 2.4 meters the above are the biggish part of deformed region, it can do and reinforce Muscle processing；When different height of foundation, adjusted according to relative displacement equation (8)；
A kind of heavy machine tool composite foundation of vertical non-homogeneous cloth muscle is designed as a result,.
2. a kind of heavy machine tool composite foundation design method of non-homogeneous reinforcing layer according to claim 1, feature exist In: in the heavy machine tool composite base structure of vertical non-homogeneous cloth muscle, excavated after compacting in ground, positioned at foundation bottom Steel bar layer sparse can arrange, because the stress that foundation bottom is born is smaller；And more up construct, then intensive cloth muscle is needed, because Based on close to machine pillar position stress it is larger；In this process, height h is calculated by relative displacement formula.
3. a kind of heavy machine tool composite foundation design method of non-homogeneous reinforcing layer according to claim 2, feature exist In: through this structure, that is, it can avoid arranging the situation of rigidity excess produced by steel bar layer in foundation bottom, reduce in lathe Spending on foundation construction.
CN201910269045.1A 2019-04-04 2019-04-04 Method for designing composite foundation of heavy machine tool with non-uniform reinforced layer Active CN110059382B (en)

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Cited By (3)

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Publication number Priority date Publication date Assignee Title
CN110598306A (en) * 2019-09-05 2019-12-20 北京工业大学 Vibration isolation modeling method considering coupling of workshop beam foundation and machine tool foundation
CN112879561A (en) * 2021-01-12 2021-06-01 桂林理工大学 Support structure suitable for vertical pressure vessel
CN113722948A (en) * 2021-08-01 2021-11-30 北京工业大学 Heavy machine tool foundation settlement deformation calculation method considering creep effect

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CN107725981A (en) * 2017-11-16 2018-02-23 北京工业大学 A kind of damp type adjustable sizing block for the processing of heavy machine tool foundation uneven settlement

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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110598306A (en) * 2019-09-05 2019-12-20 北京工业大学 Vibration isolation modeling method considering coupling of workshop beam foundation and machine tool foundation
CN110598306B (en) * 2019-09-05 2023-12-15 北京工业大学 Vibration isolation modeling method considering coupling of workshop beam foundation and machine tool foundation
CN112879561A (en) * 2021-01-12 2021-06-01 桂林理工大学 Support structure suitable for vertical pressure vessel
CN112879561B (en) * 2021-01-12 2023-03-10 桂林理工大学 Support structure suitable for vertical pressure vessel
CN113722948A (en) * 2021-08-01 2021-11-30 北京工业大学 Heavy machine tool foundation settlement deformation calculation method considering creep effect
CN113722948B (en) * 2021-08-01 2023-04-04 北京工业大学 Heavy machine tool foundation settlement deformation calculation method considering creep effect

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