CN114544120B - Estimation method for deflection of steel structure of blade die - Google Patents
Estimation method for deflection of steel structure of blade die Download PDFInfo
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Abstract
The invention provides an estimation method of deflection of a steel structure of a blade die, which comprises the following steps: s1, according to the principle that the moment of inertia of the cross section of a rod piece is equal to that of a cylindrical mandrel with an original cross section, the steel structure of the blade die is equivalently converted into an equivalent model with an equal cross section; s2, obtaining the section moment of inertia of the blade die steel structure according to an equivalent model of the blade die steel structure; s3, calculating to obtain the deflection of the blade die steel structure according to the section moment of inertia of the blade die steel structure. The estimation method greatly reduces the dependence of designers on professional software, simplifies tools, has relatively simple calculation process, does not need an accurate geometric model, does not need to consider the interference of an imported model, the rationality of grid division and the like, can shorten the design period, and reduces the cost investment.
Description
Technical Field
The invention belongs to the technical field of rigidity prediction of a blade die, and particularly relates to an estimation method of deflection of a steel structure of the blade die.
Background
The wind power blade mould is used for preparing and forming the composite material wind power blade and consists of a blade mould steel structure and a skin. In the initial design stage of the wind power blade mould, a design engineer needs to estimate the rigidity of the main bearing steel frame to a certain extent. The blade die steel frame is an irregular variable cross-section space bar system, and the deflection cannot be calculated directly by using classical beam theory.
At present, analysis is usually performed in commercial simulation analysis software, but the analysis in commercial simulation analysis software needs to be performed through the processes of modeling, meshing, load application, solving and the like, so that the time is long, the professional requirements are high, and inconvenience is brought to designers.
Disclosure of Invention
The technical problem to be solved by the invention is to provide the estimation method of the deflection of the steel structure of the blade die, so that the dependence of a designer on professional software is greatly reduced, tools are simplified, the calculation process is relatively simple, an accurate geometric model is not needed, the interference of an imported model, the rationality of grid division and the like are not needed to be considered, the design period can be shortened, and the cost investment is reduced.
In order to solve the problems, the invention provides an estimation method of deflection of a steel structure of a blade die, which comprises the following steps:
s1, according to the principle that the moment of inertia of the cross section of the rod piece is equal to that of a cylindrical mandrel with an original cross section, the steel structure of the blade die is equivalently converted into an equivalent model with an equal cross section;
s2, obtaining the section moment of inertia of the blade die steel structure according to the equivalent model of the blade die steel structure;
and S3, calculating to obtain the deflection of the blade die steel structure according to the section moment of inertia of the blade die steel structure.
Preferably, step S1 is specifically:
and taking each section of the blade die steel structure as a unit block, respectively and equivalently converting each unit block into an equivalent model with a uniform section according to the principle that the moment of inertia of the cross section of the rod piece is equal to that of the original cross section of the mandrel, and sequentially combining the equivalent models of all the unit blocks to obtain the integral equivalent model of the blade die steel structure.
Preferably, after the equivalent models of all the unit blocks are combined in sequence, the unit blocks are assembled with the equivalent model of the root upright post rod piece group of the blade die steel structure, so that the integral equivalent model of the blade die steel structure is obtained.
Preferably, in step S1, when performing equivalent transformation on each unit block, each unit block is divided into a column rod member group including column rods and a non-column rod member group not including column rods, the column rod member group and the non-column rod member group are respectively and equivalently transformed into equivalent models with equal cross sections, and then the equivalent models of the column rod member group and the non-column rod member group are assembled to obtain the equivalent model of the unit block;
the upright post rod member set comprises an upper transverse strut, a lower transverse strut, two in-plane inclined struts and two upright posts, and the non-upright post rod member set comprises two upper main beams, two lower main beams, two side inclined struts and a bottom inclined strut.
Preferably, when the non-upright rod assembly is subjected to equivalent transformation, the non-upright rod assembly is divided into three areas I, II and III, wherein the area I comprises an upper main beam and a side inclined strut, the area II comprises two lower main beams and a bottom inclined strut, and the area III comprises an upper main beam and a side inclined strut; and respectively and equivalently converting the region I, the region II and the region III into equivalent models with equal cross sections, and then assembling the equivalent models of the region I, the region II and the region III according to relative positions to obtain the equivalent model of the non-upright column rod set.
Preferably, the area I is equivalently converted into a first rectangular cross-section member with constant length and uniform cross section, the cross section height of the first rectangular cross-section member is designated as the maximum dimension of the height direction of the rod outer contour of the area I, and the cross section width of the first rectangular cross-section member is determined according to the principle that the moment of inertia of the rod cross section before and after conversion relative to the original cross section shape mandrel is equal.
Preferably, the area II is equivalently converted into a second rectangular cross-section member with constant length and uniform cross section, the cross section width of the second rectangular cross-section member is designated as the minimum dimension of the area II in the width direction of the rod outer contour, and the cross section height of the second rectangular cross-section member is determined according to the principle that the moment of inertia of the cross section of the rod before and after conversion relative to the original cross section shape mandrel is equal.
Preferably, the area III is equivalently converted into a third rectangular cross-section member with constant length and uniform cross section, the cross section height of the third rectangular cross-section member is designated as the maximum dimension of the height direction of the rod outer contour of the area III, and the cross section width of the third rectangular cross-section member is determined according to the principle that the moment of inertia of the rod cross section before and after conversion relative to the original cross section shape mandrel is equal.
Preferably, when the column rod piece group is subjected to equivalent transformation, the column rod piece group is equivalently transformed into a hollow rectangular cross-section member with an equal cross section, and the height and the width of the cross section of the hollow rectangular cross-section member are respectively equal to those of the cross section of an equivalent model of the non-column rod piece group.
Preferably, in step S3, according to the virtual work principle, the maximum deflection of the simply supported portion and the maximum deflection of the cantilever portion of the blade tip of the blade die steel structure are calculated according to the section moment of inertia of the blade die steel structure.
Compared with the prior art, the invention has the following beneficial effects:
1. in the initial design stage of the blade mould, a design engineer needs to estimate the rigidity of the main bearing steel frame to a certain extent, but does not need to carry out detailed analysis on the structure. Compared with the general commercial finite element software structural analysis process, the method for estimating the deflection of the steel structure of the blade die greatly reduces the dependence of designers on professional software, and can estimate the deformation of the steel frame only by paper and pen;
2. compared with a commercial finite element structure analysis method, the method for estimating the deflection of the steel structure of the blade die is relatively simple in calculation process while simplifying tools, does not need an accurate geometric model, does not need to consider interference of an imported model, rationality of grid division and the like, and can shorten design period and reduce cost investment.
Drawings
FIG. 1 is a schematic view showing the structure of a blade mold in example 1 of the present invention;
FIG. 2 is a schematic view showing the structure of a blade mold rigid structure unit block in example 1 of the present invention;
FIG. 3 is a schematic view of the structure of the post-element group in the rigid structural unit block of the blade mold in example 1 of the present invention;
fig. 4 is a schematic view of the structure of a non-column bar set in a blade mold rigid structure unit block in embodiment 1 of the present invention.
Wherein: 1-a column bar set; 2-a non-upright rod set; 3-upper cross braces; 4-lower cross braces; 5-in-plane diagonal bracing; 6-stand columns; 7-an upper main beam; 8-a lower main beam; 9-side diagonal bracing; 10-bottom diagonal bracing.
Detailed Description
The technical solutions of the present invention will be clearly and completely described in conjunction with the embodiments of the present invention, and it is apparent that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Example 1
The method for estimating the deflection of the steel structure of the blade die comprises the following steps:
s1, taking each section of a blade die steel structure as a unit block, respectively and equivalently converting each unit block into an equivalent model with a uniform section according to the principle that the moment of inertia of the cross section of a rod piece is equal to that of a cylindrical mandrel with an original cross section, sequentially combining the equivalent models of all unit blocks, and then assembling with an equivalent model of a root upright post rod piece group of the blade die steel structure to obtain an integral equivalent model of the blade die steel structure;
the blade mould steel frame is composed of two different types of rod assemblies, namely a column rod assembly (comprising a column rod assembly) and a non-column rod assembly (without a column rod assembly), each column rod assembly and the corresponding non-column rod assembly form a rod assembly which can represent the structural characteristics of the blade mould steel frame and can be called a unit block, and the blade mould steel frame is composed of a plurality of unit blocks with the same structure and different sizes and performances. Therefore, each section of the blade die steel structure can be used as a unit block, each unit block is respectively and equivalently converted into an equivalent model with the same cross section, and then the equivalent models of all the unit blocks are sequentially combined to obtain the whole equivalent model.
Specifically, the method comprises the following steps:
s101, taking a unit block in a blade die steel frame for analysis:
as shown in fig. 1, 2, 3 and 4, when performing equivalent transformation on each unit block, dividing each unit block into a column rod piece group 1 containing column rod pieces and a non-column rod piece group 2 not containing column rod pieces, performing equivalent transformation on the column rod piece group 1 and the non-column rod piece group 2 respectively to form equivalent models with equal cross sections, and then assembling the equivalent models of the column rod piece groups with the equivalent models of the non-column rod piece groups to obtain the equivalent models of the unit blocks;
as shown in fig. 1, the column bar set 1 comprises an upper cross brace 3, a lower cross brace 4, two in-plane diagonal braces 5 and two columns 6, and the non-column bar set 2 comprises two upper main beams 7, two lower main beams 8, two side diagonal braces 9 and a bottom diagonal brace 10;
s102, carrying out equivalent transformation on the non-upright post rod piece set:
the cross section is established at any axial position, the cross section of the non-upright rod member set is in an axisymmetric graph as viewed along the axis, the symmetric axis is a vertical line perpendicular to the plane of the bottom of the steel frame and can be marked as a y-y axis, the non-upright rod member set is divided into three areas I, II and III according to the left, the right and the left order, the area I comprises an upper girder and a side diagonal brace (positioned at the left side of the cross section y-y axis), the area II comprises two lower girders and a bottom diagonal brace, the area III comprises an upper girder and a side diagonal brace (positioned at the right side of the cross section y-y axis), and the area I is symmetric with the y-y axis;
according to the mechanical knowledge of materials, the deflection line equation of the simply supported beam under the action of uniformly distributed load q is shown as the formula 1 and the formula 2, the deflection of the simply supported beam is in direct proportion to the bending moment on the cross section, and is in inverse proportion to the elastic modulus and the section moment of inertia of the material, and when the material and the bending moment are unchanged, the section moment of inertia determines the magnitude of the deflection. And when the materials are the same, respectively carrying out cross section equivalent transformation on the rods in the areas of the non-upright rod sets I, II and III according to the principle that the cross section moments of inertia are the same.
Equivalent transformation of region I into a constant length, constant cross-section, first rectangular cross-section member, specifying a cross-section height H of the first rectangular cross-section member 1 The maximum dimension of the rod outer contour height direction of the I area is equal to the cross section width K of the first rectangular cross section member is determined according to the principle that the moment of inertia of the cross section of the rod before and after conversion relative to the original cross section shape mandrel is equal 1 The method comprises the steps of carrying out a first treatment on the surface of the The following formulas 3 and 4;
equivalent transformation of zone II into a constant length, constant cross-section, second rectangular cross-section member, specifying the cross-section width K of the second rectangular cross-section member 2 The minimum dimension in the width direction of the outer contour of the rod member equal to the area II is determined by determining the section height H of the second rectangular section member according to the principle that the moment of inertia of the cross section of the rod member before and after conversion relative to the original cross section mandrel is equal 2 The method comprises the steps of carrying out a first treatment on the surface of the The following formulas 5 and 6;
equivalently converting the III region into a third rectangular cross-section member with constant length and uniform cross section, designating the cross-section height of the third rectangular cross-section member as the maximum dimension of the height direction of the rod piece outer contour of the III region, and determining the cross-section width of the third rectangular cross-section member according to the principle that the moment of inertia of the cross-section of the rod piece before and after conversion relative to the original cross-section mandrel is equal; because the rectangular section member converted by the III-region rod is the same as the I-region rod and symmetrical with the I-region rod about the y-y axis, additional calculation is not needed, and only the equivalent member of the I-region is required to be symmetrical according to the y-y axis;
Wherein, the liquid crystal display device comprises a liquid crystal display device,
the section moments of inertia of the non-upright rod member groups I, II and III relative to the neutral axis before conversion are respectively represented, and the section moments can be calculated by known cross-sectional dimensions; />
: respectively representing the section moment of inertia of the non-upright rod member groups I, II and III relative to the neutral axis of the cross section after the equivalent transformation;
assembling rectangular section members converted from the area I, the area II and the area III according to relative positions, and obtaining an equivalent model of the non-upright column rod assembly, wherein the assembled rectangular section members are groove-shaped section members with upward openings, and the total width of the groove-shaped members is K 2 The total height is H 1 +H 2 ；
S103, carrying out equivalent transformation on the column rod piece group:
the column rod member group comprises an upper cross brace, a lower cross brace, two in-plane diagonal braces and two columns (forming three triangles or two triangles and a pentagon). The steel frame is a member with a uniform section when viewed along the axial direction of the steel frame. On any cross section, the upper cross brace, the lower cross brace and the two upright posts form a closed rectangle. EI is called the flexural rigidity of the component, and I (moment of section inertia) is a representation of the flexural properties, with E unchanged. Considering the reinforcement effect of the in-plane diagonal bracing, the column rod piece set can be converted into a hollow rectangular cross section member with a uniform cross section according to the principle that the cross section moment of inertia is unchanged;
the height and width of the cross section of the equivalent member of the column bar set are respectively equal to those of the cross section of the equivalent member of the non-column bar set. Namely:
height: h L =H F =H 1 +H 2 7. The method of the invention
Width: k (K) L =K F =K 2 8. The method is used for preparing the product
Wherein H is L The total height of the cross section of the equivalent member of the column bar set; h F The total height of the cross section of the equivalent member of the non-upright set; k (K) L The total width of the cross section of the equivalent member of the column rod assembly; k (K) F Is the total width of the cross section of the equivalent member of the non-upright set.
S104, assembling the equivalent model of the column rod piece group and the equivalent model of the non-column rod piece group in sequence to obtain an equivalent model of the irregular unit block, wherein the equivalent model has a regular appearance, and the cross section area of the equivalent model can be more simply expressed by a function;
s105, sequentially combining equivalent models of all the unit blocks, and then assembling with equivalent models of the root upright post rod piece group of the blade die steel structure to obtain an integral equivalent model of the blade die steel structure with a more regular shape;
s2, obtaining the section moment of inertia of the blade die steel structure according to an equivalent model of the blade die steel structure, wherein the expression is shown as the following formula 9;
Wherein, the liquid crystal display device comprises a liquid crystal display device,
represents the cross-sectional moment of inertia of the steel structure of the whole blade mould,/->
The equivalent cross section moments of inertia of the nth non-upright post rod piece group and the nth upright post rod piece group are respectively represented, and x represents the linear distance from any cross section of the blade die steel structure to the blade root.
S3, calculating to obtain the maximum deflection D of the simple support part of the steel structure of the blade die according to the virtual work principle Simply support And maximum deflection D of tip cantilever portion Cantilever arm The deformation trend and the maximum deflection value of the steel frame are obtained and are used as the basis for the designer to design and optimize the blade die steel frame.
It is apparent that the above examples are given by way of illustration only and are not limiting of the embodiments. Other variations or modifications of the above teachings will be apparent to those of ordinary skill in the art. It is not necessary here nor is it exhaustive of all embodiments. While still being apparent from variations or modifications that may be made by those skilled in the art are within the scope of the invention.
Claims (8)
1. The method for estimating the deflection of the steel structure of the blade die is characterized by comprising the following steps of:
s1, according to the principle that the moment of inertia of the cross section of the rod piece is equal to that of a cylindrical mandrel with an original cross section, the steel structure of the blade die is equivalently converted into an equivalent model with an equal cross section, and the method specifically comprises the following steps: taking each section of the blade die steel structure as a unit block, respectively and equivalently converting each unit block into an equivalent model with a uniform cross section according to the principle that the moment of inertia of the cross section of a rod piece is equal to that of an original cross section mandrel, and sequentially combining the equivalent models of all the unit blocks to obtain an integral equivalent model of the blade die steel structure; when each unit block is subjected to equivalent transformation, dividing each unit block into a column rod piece group comprising column rod pieces and a non-column rod piece group not comprising column rod pieces, respectively and equivalently transforming the column rod piece group and the non-column rod piece group into equivalent models with equal cross sections, and then assembling the equivalent models of the column rod piece group and the equivalent models of the non-column rod piece group to obtain equivalent models of the unit blocks; the upright post rod member set comprises an upper transverse strut, a lower transverse strut, two in-plane inclined struts and two upright posts, and the non-upright post rod member set comprises two upper main beams, two lower main beams, two side inclined struts and a bottom inclined strut;
s2, obtaining the section moment of inertia of the blade die steel structure according to the equivalent model of the blade die steel structure;
and S3, calculating to obtain the deflection of the blade die steel structure according to the section moment of inertia of the blade die steel structure.
2. The method for estimating steel structural deflection of a blade mold according to claim 1, wherein:
and after the equivalent models of all the unit blocks are combined in sequence, the unit blocks are assembled with the equivalent models of the root upright post rod piece group of the blade die steel structure, so that the integral equivalent model of the blade die steel structure is obtained.
3. The method for estimating steel structural deflection of a blade mold according to claim 1, wherein:
when the non-upright rod assembly is subjected to equivalent transformation, the non-upright rod assembly is divided into three areas I, II and III, wherein the area I comprises an upper main beam and a side inclined strut, the area II comprises two lower main beams and a bottom inclined strut, and the area III comprises an upper main beam and a side inclined strut; and respectively and equivalently converting the region I, the region II and the region III into equivalent models with equal cross sections, and then assembling the equivalent models of the region I, the region II and the region III according to relative positions to obtain the equivalent model of the non-upright column rod set.
4. A method of estimating deflection of a steel structure of a blade mould according to claim 3, characterized in that:
and equivalently converting the I area into a first rectangular cross-section member with constant length and uniform cross section, designating the cross-section height of the first rectangular cross-section member as the maximum dimension of the height direction of the rod outer contour of the I area, and determining the cross-section width of the first rectangular cross-section member according to the principle that the moment of inertia of the cross-section of the rod before and after conversion relative to the original cross-section mandrel is equal.
5. A method of estimating deflection of a steel structure of a blade mould according to claim 3, characterized in that:
and equivalently converting the II area into a second rectangular cross-section member with constant length and uniform cross section, designating the cross-section width of the second rectangular cross-section member as the minimum dimension of the II area in the width direction of the rod piece outer contour, and determining the cross-section height of the second rectangular cross-section member according to the principle that the moment of inertia of the cross-section of the rod piece before and after conversion relative to the original cross-section mandrel is equal.
6. A method of estimating deflection of a steel structure of a blade mould according to claim 3, characterized in that:
and equivalently converting the III region into a third rectangular cross-section member with constant length and uniform cross section, designating the cross-section height of the third rectangular cross-section member as the maximum dimension of the height direction of the rod outer contour of the III region, and determining the cross-section width of the third rectangular cross-section member according to the principle that the moment of inertia of the cross-section of the rod before and after conversion relative to the original cross-section mandrel is equal.
7. The method for estimating steel structural deflection of a blade mold according to claim 1, wherein:
when the column rod piece group is subjected to equivalent transformation, the column rod piece group is equivalently transformed into a hollow rectangular cross-section member with an equal cross section, and the height and the width of the cross section of the hollow rectangular cross-section member are respectively equal to those of the cross section of an equivalent model of the non-column rod piece group.
8. The method for estimating steel structural deflection of a blade mold according to claim 1, wherein:
in step S3, according to the virtual work principle, calculating according to the section moment of inertia of the blade die steel structure to obtain the maximum deflection of the simple support part of the blade die steel structure and the maximum deflection of the cantilever part of the blade tip.
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