JP2002018941A - Method for designing and supporting pipe made of fiber reinforced plastic material - Google Patents

Abstract

PROBLEM TO BE SOLVED: To develop a method for designing and supporting a pipe made of a fiber reinforced plastic material, not provided heretofore and capable of calculating the wall thickness, bending rigidity and twist rigidity of the pipe made of the fiber reinforced plastic material at an arbitrary cross-sectional region in contradistinction to a target value including an allowance value. SOLUTION: In the method for designing and supporting a pipe made of the fiber reinforced plastic material, when one arbitrary cross-sectional region of the pipe made of the fiber reinforced plastic material is extracted, the wall thickness, bending rigidity and twist regidity of the pipe being target values, allowance values of them and the outer diameter of a mandrel are inputted to a computer, and the kind of a sheet member and the angle of fiber orientation of the sheet member are indicated to display the laminated constitution of the sheet member satisfying the target values including the allowance values and the wall thickness, bending rigidity and twist rigidity of the pipe on the computer and the design of the pipe made of the fiber reinforced plastic material or accurate data necessary for production can be simply obtained by anyone.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a fiber reinforced plastic formed by winding a prepreg sheet member made of a reinforcing resin such as carbon fiber or glass fiber and an epoxy resin or other synthetic resin as a matrix resin around a mandrel. The present invention relates to a design support method for a pipe (hereinafter abbreviated as an FRP pipe).

[0002]

2. Description of the Related Art There are many methods for forming a pipe made of FRP. Among them, a prepreg sheet (plane member) impregnated with a resin is cut into various shapes, wound around a mandrel, and heated. Golf shafts manufactured using the sheet winding method (sheet wrapping method) have features of being lightweight and having high strength. Further, the FRP pipe manufactured by the sheet winding method is a fishing rod other than the golf shaft,
Widely used as various pipes. In order to design an FRP pipe, it is necessary to predict in advance the characteristic values of the pipe, such as bending stiffness (E ₁ IZ) and torsional stiffness (G ₁₂ IP) in a certain cross section. Various researches on the prediction of the characteristic value have been performed by various golf shaft manufacturers and the like, but at present the calculation accuracy sufficient for use in designing has not been obtained. Furthermore, there is no known method for determining the lamination configuration of the planar member that satisfies the target values of the bending stiffness (E ₁ IZ) and the torsional stiffness (G ₁₂ IP) in a certain cross section of the FRP pipe.

[0003]

SUMMARY OF THE INVENTION An object of the present invention is to provide an FR
When one arbitrary cross section of a P-made pipe is extracted, the target values of the pipe thickness, bending stiffness (E ₁ IZ), torsional stiffness (G ₁₂ IP), and their allowable values are entered. The lamination structure of various planar members satisfying the target value, the wall thickness, bending rigidity (E ₁ IZ) of the pipe satisfying the target value,
An object of the present invention is to develop a design support method for a fiber reinforced plastic pipe capable of calculating torsional rigidity (G ₁₂ IP).

[0004]

SUMMARY OF THE INVENTION To achieve the above object, the present invention relates to a method for supporting the design of an FRP pipe formed by winding a sheet member around a core such as a mandrel, comprising a fiber reinforced plastic. Input means for inputting the pipe thickness, bending stiffness (E ₁ IZ), torsional stiffness (G ₁₂ IP), and their allowable values, which are the target values when one arbitrary section of the pipe is extracted By the first step and inputting the outer diameter of the mandrel, selecting means for selecting the material name of the sheet member registered in advance and its physical property value, and specifying means for specifying the fiber orientation angle of the selected sheet member Second
Determining the maximum number of layers and the minimum number of layers of the planar member satisfying the target value including the allowable value input in the step and the first step, and determining the lamination configuration of the planar member according to the fiber orientation angle of the planar member. The lamination configuration of the planar member, the wall thickness of the pipe, and the bending at an arbitrary number of laminations from the minimum number of laminations to the maximum number of laminations determined in the third step by the lamination configuration control means and the third step determined in the third step A fourth step of calculating means for calculating rigidity (E ₁ IZ) and torsional rigidity (G ₁₂ IP), and the wall thickness and bending rigidity (E ₁ IZ) of the pipe in the laminated structure calculated by the calculating means from torsional rigidity (G ₁₂ IP), the wall thickness of the pipe which satisfies the target value including the allowable values, flexural rigidity (E ₁ IZ), torsional rigidity (G ₁₂
(IP) A fifth aspect of the present invention is to provide a method for supporting the design of a fiber reinforced plastic pipe, which comprises a fifth step by a laminated structure selecting means for selecting a laminated structure of each planar member that satisfies at least one of them.

[0005]

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, an example in which the design support method of an FRP pipe according to the present invention is applied to the design and manufacture of an FRP pipe will be described. FIG. 1 is a schematic block diagram of a processing apparatus according to the present invention. FIG. 2 is a flowchart of the program of the present invention. FIG. 3 is a flowchart of the overall operation of the processing apparatus according to the present invention.

As shown in FIG. 4A, in manufacturing a FRP pipe, a planar member (A) is wound around a mandrel (N). FIG. 4B shows one cross section of a mandrel in which a planar member is wound around three layers. FR of the present invention
In the first step of the design support method for a pipe made of P,
Enter the target values of the wall thickness, bending stiffness and torsional stiffness of the pipe and their allowable values. In the second step, the outer diameter of the mandrel (N), the material name of the sheet member registered in advance, and its physical property value are selected, and the fiber orientation angle of the sheet member is designated. Extracting an arbitrary cross section of the FRP pipe in the present invention is defined as specifying the inner diameter of the FRP pipe. Since the inner diameter of the FRP pipe is the same as the outer diameter of the mandrel, inputting the outer diameter of the mandrel extracts an arbitrary cross-sectional portion of the FRP pipe in the present invention.

The selection means for selecting the material name of the planar member and its physical property value arbitrarily selects various materials and their physical property values from a database prepared in advance. The planar member is made of a material such as carbon fiber, glass fiber, and aramid fiber, or a composite material thereof. The physical property values of various planar members include longitudinal elastic modulus (E ₁ ), transverse elastic modulus (E ₂ ), shear modulus (G ₁₂ ), Poisson's ratio (ν ₁₂ ), thickness (m), and specific gravity (ρ). ). The database can add or delete data as needed.

As shown in FIG. 5, the fiber orientation angle of the planar member is the angle between the longitudinal center line of the mandrel and the fiber direction of the planar member. The designation means for designating the fiber orientation angle of the planar member in the FRP pipe design support method of the present invention usually designates several types of fiber orientation angles as follows. The designating means includes 0 degree, a positive arbitrary angle, and a negative arbitrary angle having the same absolute value of the positive arbitrary angle.
The type is specified, but it is also possible to specify four or more fiber orientation angles. If there are a plurality of positive arbitrary angles,
A negative arbitrary angle having the same absolute value of each positive arbitrary angle is designated and input. The positive arbitrary angle is an angle larger than 0 degrees and smaller than 180 degrees. However,
When the positive arbitrary angle is 90 degrees, a negative angle (-90 degrees) having the same absolute value is substantially a positive arbitrary angle 9
Since it is the same figure as 0 degrees, only a positive arbitrary angle is specified.

In the third step of the method for supporting the design of an FRP pipe according to the present invention, in order to satisfy the target value including the allowable value input in the first step, the maximum value of the planar member specified in the second step is satisfied. The number of layers and the minimum number of layers are determined. In the method of determining the maximum number and the minimum number of sheet members in the third step, the thickness of the sheet member selected in the second step and the target value including the allowable value in the first step are input. The maximum number of laminations and the minimum number of laminations of the planar member calculated by the wall thickness of the pipe, the longitudinal elastic modulus of the planar member selected in the second step, and a target value including an allowable value in the first step. Including the maximum number of laminations and the minimum number of laminations of the planar member calculated from the input bending stiffness of the pipe, the elastic modulus of the planar member selected in the second step, and the allowable value in the first step. The method is characterized in that the method is determined so as to satisfy at least one of the maximum stacking number and the minimum stacking number of the planar member calculated based on the torsional rigidity of the pipe input as the target value.

First, in order to satisfy a target value including an allowable value, the maximum number of laminations and the minimum number of laminations of the planar member are calculated based on the designated wall thickness of the planar member and the target wall thickness of the pipe. . The calculation formula is as follows.

[0011]

[Formula 1] M1MAX = (T1 + ΔT1)… Y + 1 (1) M1MAX: The maximum number of stacks of the planar member in the pipe calculated by the thickness of the planar member and the target wall thickness of the pipe T1: Target value Thickness of certain pipes ΔT1: allowable value of pipe thickness as target value Y: minimum thickness among selected planar members

[Formula 2] M1MIN = (T1−ΔT1) ÷ X (2) M1MIN: Minimum stacking number of the planar member in the pipe calculated from the wall thickness of the planar member and the target wall thickness of the pipe T1: Target Value of pipe thickness ΔT1: Allowable value of pipe thickness as target value X: Maximum thickness of selected planar member

Next, the maximum number of layers and the minimum number of layers of the planar member are calculated from the specified longitudinal elastic modulus of the planar member and the target value, ie, the bending stiffness of the pipe (E ₁ IZ). First, a maximum longitudinal elastic modulus (E _1MAX ) and a minimum longitudinal elastic modulus (E _1MIN ) are selected from the selected planar members. The maximum pipe thickness (T2MAX) considered here is calculated by the following equation.

[0013]

[Equation 3] T2MAX = 1/2 × {64 (E 1 IZ2 + ΔE 1 IZ) / π E 1MIN + Nd 4} 1/4 -1 / 2 × Nd ... (3) E 1 IZ2: Bending of the pipe which is the target value Rigidity ΔE ₁ IZ: Allowable value for target pipe bending rigidity E _1MIN : Minimum longitudinal elastic modulus among selected planar members Nd: Mandrel diameter

The minimum pipe thickness (T2MIN) considered here is calculated by the following equation.

[0015]

[Equation 4] T2MIN = 1/2 × {64 (E 1 IZ2-ΔE 1 IZ) / π E 1MAX + Nd 4} 1/4 -1 / 2 × Nd ... (4) E 1MAX: planar member selected The largest longitudinal modulus among

Accordingly, the maximum number of stacks (M2MAX) of the planar members in the pipe, which is calculated from the longitudinal elastic modulus of the planar member and the target value, the bending stiffness (E ₁ IZ) of the pipe, is calculated by the following equation.

[0017]

[Formula 5] M2MAX = T2MAX ÷ Y (5) M2MAX: the maximum number of laminations of the planar member in the pipe calculated from the longitudinal elastic modulus of the planar member and the bending stiffness of the pipe (E ₁ IZ) which is the target value.

The minimum number of stacks (M2MIN) of the planar members in the pipe, which is calculated from the longitudinal elastic modulus of the planar members and the target value, the bending rigidity of the pipe (E ₁ IZ), is calculated by the following equation. .

[0019]

[Formula 6] M2MIN = T2MIN ÷ X + 1 (6) M2MIN: The minimum number of laminations of the planar member in the pipe calculated from the longitudinal elastic modulus of the planar member and the bending rigidity (E ₁ IZ) of the pipe, which is the target value.

Next, the maximum number of laminated layers and the minimum number of laminated layers of the planar member in the pipe are calculated from the specified elastic modulus of the planar member and the torsional rigidity (G ₁₂ IP) of the pipe, which is the target value. First, among the selected planar members, the maximum elastic modulus of elasticity (G _12MAX ) and the minimum elastic modulus of elasticity (G _12MAX )
G _12MIN ). The maximum pipe thickness (T3MAX) considered here is calculated by the following equation.

[0021]

[Equation 7] _{T 3MAX = 1/2 × {} 32 (G 12 IP3 + Δ G 12 IP) / π G 12MIN + Nd 4} 1/4 -1 / 2 × Nd ... (7) G 12 IP3: Pipe is the target value G ₁₂ IP: The allowable value of the torsional rigidity of the pipe which is the target value G _12MIN : The minimum elastic modulus of elasticity among the selected planar members Nd: Mandrel diameter

The minimum pipe thickness (T3MIN) considered here is calculated by the following equation.

[0023]

[Equation 8] T3MIN = 1/2 × {32 (G 12 IP3-Δ G 12 IP) / π G 12MAX + Nd 4} 1/4 -1 / 2 × Nd ... (8) G 12 IP3: is the target value Pipe torsional stiffness Δ G ₁₂ IP: Allowable value of pipe torsional stiffness as target value G _12MAX : Maximum elastic modulus of elasticity of selected planar members

Accordingly, the maximum number of stacks (M3MAX) of the planar members in the pipe, which is calculated from the elastic modulus of the planar members and the torsional rigidity of the pipe, which is the target value, is calculated by the following equation.

[0025]

[Formula 9] M3MAX = T3MAX… Y (9) M3MAX: the maximum number of laminations of the planar member in the pipe calculated by the elastic modulus of elasticity of the planar member and the torsional rigidity of the pipe which is the target value.

The minimum number of laminations (M3MI) of the planar members in the pipe calculated from the torsional rigidity of the planar members
N) is calculated by the following equation.

[0027]

[Formula 10] M3MIN = T3MIN） X + 1 (10) M3MIN: Minimum stacking number of the planar member in the pipe calculated by the elastic modulus of elasticity of the planar member and the torsional rigidity of the pipe which is the target value.

The maximum number of layers and the minimum number of layers in the pipe calculated by the above three methods change as follows depending on the designated condition of the target value. First, the maximum stacking number and the minimum stacking number are the maximum stacking number and the minimum stacking number in the pipe calculated by the equations 1 and 2 when only the thickness of the pipe is specified as the target value. Further, the maximum number of layers and the minimum number of layers are the maximum number of layers and the minimum number of layers in the pipe calculated by Equations 5 and 6, when only the bending rigidity of the pipe is specified as the target value. Similarly, the maximum stacking number and the minimum stacking number are the maximum stacking number and the minimum stacking number in the pipe calculated by the equations 9 and 10 when only the torsional rigidity of the pipe is specified as the target value.

Next, when the thickness and bending rigidity of the pipe are designated as the target values, the maximum number of layers and the minimum number of layers are the maximum number of layers and the minimum number of layers calculated by the above equations 1 and 2, respectively. And the range defined by the maximum number of layers and the minimum number of layers calculated by Equations 5 and 6, respectively, are the maximum and minimum numbers of layers that satisfy both ranges. Further, when specifying the wall thickness and torsional rigidity of the pipe as the target values, the maximum number of layers and the minimum number of layers are the maximum number of layers and the minimum number of layers in the pipe calculated by the above equations 1 and 2. The range to be made and the above-mentioned equations 9 and 10
Is the maximum and minimum number of stacks that indicate a range that satisfies both the range defined by the maximum number of stacks and the minimum number of stacks in the pipe. Similarly, when specifying the bending rigidity and torsional rigidity of the pipe as target values, the maximum number of laminations and the minimum number of laminations are the maximum number of laminations and the minimum number of laminations of the pipe calculated by Equations 5 and 6, respectively. And the range defined by the maximum number of layers and the minimum number of layers in the pipe calculated by Equations 9 and 10, respectively, are the maximum and minimum numbers of layers that satisfy both ranges. Further, when the thickness, bending rigidity and torsional rigidity of the pipe are specified as target values, the maximum number of laminations and the minimum number of laminations are the maximum number of laminations and the minimum number of pipes calculated by Equations 1 and 2, respectively. The range defined by the number of laminations, the range defined by the maximum number of laminations and the minimum number of laminations in the pipe calculated by Equations 5 and 6, and Equations 9 and 10
Is the maximum and minimum number of layers indicating a range that satisfies all of the ranges defined by the maximum number of layers and the minimum number of layers in the pipe calculated by

In the third step of the fiber reinforced plastic pipe design support method according to the present invention, the lamination structure control means for restricting the lamination structure of the planar member by the designated fiber orientation angle of the planar member will be described below. Will be described. The lamination configuration control means is means for preventing the fiber orientation angles of the two planar members that are in contact with and laminating to be both a positive arbitrary angle or a negative arbitrary angle in the lamination configuration of the pipe. It is. Further, the lamination configuration control means may be configured such that, in the lamination configuration of the pipe, the fiber orientation angle of the planar member in contact with the outside of the planar member having the fiber orientation angle of the positive arbitrary angle is always the positive arbitrary angle and the absolute value. Are the same negative arbitrary angles. Further, the lamination configuration control means may include, in the lamination configuration of the pipe, the number of planar members having a fiber orientation angle of a positive arbitrary angle, and a fiber of a negative arbitrary angle having the same absolute value as the positive arbitrary angle. This is a means for making the number of planar members equal to the orientation angle equal. The lamination structure control means is intended to make the planar member of the pipe isotropic in the plane by a combination of fiber orientation angles. If the planar member in the pipe is not isotropic in the plane due to the combination of the fiber orientation angles, there is a possibility that the entire pipe is unevenly twisted or deformed unevenly. In addition, there is an effect that the time required for the calculating means for calculating the pipe thickness, bending rigidity, and torsional rigidity of the pipe in the fourth step described later is greatly reduced by the lamination structure control means. The lamination structure control means is programmed so as to be executed in the following procedure in the calculation execution of the computer.

First, it comes into contact with the mandrel (first layer)
The fiber orientation angle of the planar member is set to 0 degree, 90 degrees, or any positive angle, and is not set to any negative angle. Next, the designation means in the second step sets the fiber orientation angle of the planar member to 0 degree, a positive arbitrary angle (θ ₁ ), and a negative arbitrary angle (θ ₁ ) having the same absolute value. It is assumed that three types are specified as an arbitrary angle (−θ ₁ ). Here, the positive arbitrary angle (θ ₁ ) is other than 90 degrees. As shown in FIGS. 6A and 6B and Table 1, the fiber orientation angle of the planar member in contact with the outside of the planar member having the fiber orientation angle of 0 degree is 0 degree and any positive value. Angle (θ ₁ ).

[0032]

[Table 1] (N: an integer of 1 or more)

Further, the fiber orientation angle of the planar member can be set to one of the three types (0 degree, θ ₁₎ by the designation means in the second step.
Degrees, -θ ₁ degree), if 90 degrees is specified, Table 2
It becomes as follows. In this case, the fiber orientation angle of the planar member in contact with the outside of the planar member having a fiber orientation angle of 0 degree is 0 degree,
90 degrees and any of the positive arbitrary angles (θ ₁ ), and the fiber orientation angle of the planar member in contact with the outside of the planar member having the fiber orientation angle of 90 degrees is 0 degree, 90 degrees, And a positive arbitrary angle (θ ₁ ).

[0034]

[Table 2]

Next, FIGS. 7A and 7B and Table 3
As shown in the above, the fiber orientation angle of the planar member that is in contact with the outside of the planar member, which is the fiber orientation angle of the positive arbitrary angle (θ ₁ ), is the negative arbitrary angle having the same absolute value of the positive arbitrary angle. (-Θ
₁ ) Only to be.

[0036]

[Table 3]

Next, FIGS. 8A and 8B and Table 4
As shown in the above, the fiber orientation angle of the planar member that contacts the outside of the planar member that is the negative arbitrary angle (−θ ₁ ) in which the absolute value of the positive arbitrary angle (θ ₁ ) is the same is 0 degree, and The angle is set to _{one of the} positive arbitrary angles (θ ₁ ).

[0038]

[Table 4]

Further, the fiber orientation angle of the three-dimensional member (0 degree, θ ₁
Degree, -θ ₁ degree), if 90 degrees is specified, Table 5
It becomes as follows. In this case, the fiber orientation angles of the planar member that contacts the outside of the planar member that is the negative arbitrary angle (−θ ₁ ) in which the absolute value of the positive arbitrary angle (θ ₁ ) is the same are 0 degrees and 90 degrees.
Degree or a positive arbitrary angle (θ ₁ ).

[0040]

[Table 5]

Further, in the laminated structure of the pipe, the number of the planar members having the fiber orientation angle (θ ₁ ) of the positive arbitrary angle and the negative arbitrary angle (−) having the same absolute value as the positive arbitrary angle. The number of planar members that is the fiber orientation angle of θ ₁ ) is made equal. Therefore, as shown in Table 6, when the number of laminations of the planar members is three, there are three combinations based on the fiber orientation angle.

[0042]

[Table 6]

Further, by the designation means in the second step, the fiber orientation angles of the planar member can be set to the three types (0 degrees, θ _1).
Degrees, -θ ₁ degree), if 90 degrees is specified, Table 7
As shown in the above, there are 12 combinations depending on the fiber orientation angle.

[0044]

[Table 7]

Further, by the second step of specifying means, the fiber orientation angle of 0 degree planar member, an arbitrary positive angle (theta _1), the absolute value of any angle (theta ₁₎ of the positive is the same negative any angle (-θ _1), an arbitrary positive angle (theta _2), and the absolute value of a positive arbitrary angle (theta ₂₎ is five designated a negative arbitrary angle (- [theta] ₂₎ is the same Shall be. Here, the positive arbitrary angle (θ ₁ ) and the positive arbitrary angle (θ ₂ ) are other than 90 degrees. As shown in Table 5, the fiber orientation angle of the planar member adjacent to the outside of the planar member having the fiber orientation angle of 0 degree is 0 degree, a positive arbitrary angle (θ ₁ ), and a positive arbitrary angle (θ ₁ ). θ ₂ ).

[0046]

[Table 8]

Further, the fiber orientation angles of the planar member can be set to the five types (0 degrees, θ ₁₎ by the designating means of the second step.
Table 9 when 90 degrees is specified other than (degree, -θ ₁ degree, θ ₂ degree, -θ ₂ degree). In this case, the fiber orientation angle of the planar member that is in contact with the outside of the planar member, which is the fiber orientation angle of 0 degree, is 0 degree, 90 degrees, a positive arbitrary angle (θ ₁ ), and a positive arbitrary angle (θ ₂ ) And 90
The fiber orientation angle of the planar member in contact with the outside of the planar member, which is the fiber orientation angle of degree, is any _{one of} 0 degree, 90 degrees, a positive arbitrary angle (θ ₁ ), and a positive arbitrary angle (θ ₂ ) So that

[0048]

[Table 9]

Next, as shown in Table 10, the fiber orientation angle of the planar member in contact with the outside of the planar member, which is the fiber orientation angle of the positive arbitrary angle (θ ₁ ), is the absolute value of the positive arbitrary angle. Are the only negative arbitrary angles (−θ ₁ ) that are the same.
Similarly, the fiber orientation angle of the planar member that is in contact with the outside of the planar member that is the fiber orientation angle of the positive arbitrary angle (θ ₂ ) is the negative arbitrary angle (−) in which the absolute value of the positive arbitrary angle is the same. θ ₂ ).

[0050]

[Table 10]

[0051] As shown in Table 11, the fiber orientation angle of an arbitrary positive angle (theta ₁₎ of the absolute value is in contact with the outer side of the planar member is a negative arbitrary angle are the same (- [theta] ₁₎ planar member ,
0 degrees, positive arbitrary angle (θ ₁ ), and positive arbitrary angle (θ ₂ )
To be one of Similarly, any positive angle (θ
₂ ) The fiber orientation angle of the planar member adjacent to the outside of the planar member having a negative arbitrary angle (-θ ₂ ) having the same absolute value is 0.
Degree, a positive arbitrary angle (θ ₁ ), and a positive arbitrary angle (θ ₂ ).

[0052]

[Table 11]

Further, the fiber orientation angles of the planar member can be set to the five types (0 degrees, θ ₁₎ by the designation means in the second step.
In the case where 90 degrees is specified in addition to (degree, -θ ₁ degree, θ ₂ degree, -θ ₂ degree), the values are as shown in Table 12. In this case, a negative arbitrary angle ( ₋₁ ) in which the absolute value of the positive arbitrary angle (θ ₁ ) is the same.
θ ₁ ), the fiber orientation angle of the planar member in contact with the outside of the planar member is any _{one of} 0 degree, 90 degrees, a positive arbitrary angle (θ ₁ ), and a positive arbitrary angle (θ ₂ ). The negative arbitrary angle (−−) having the same absolute value of the positive arbitrary angle (θ ₂ )
The fiber orientation angle of the planar member in contact with the outside of the planar member, which is θ ₂ ), is one of 0 degree, 90 degrees, a positive arbitrary angle (θ ₁ ), and a positive arbitrary angle (θ ₂ ). To do.

[0054]

[Table 12]

Further, in the laminated structure of the pipe, the number of the planar members having the fiber orientation angle (θ ₁ ) of the positive arbitrary angle and the negative arbitrary angle (−) having the same absolute value as the positive arbitrary angle are described. The number of planar members that is the fiber orientation angle of θ ₁ ) is made equal. Similarly, in a laminated structure of a pipe, the number of planar members having a fiber orientation angle (θ ₂ ) of a positive arbitrary angle, and a negative arbitrary angle (−θ ₂ ) having the same absolute value as the positive arbitrary angle. ), The number of planar members, which is the fiber orientation angle, is made equal. Therefore, as shown in Table 13, when the number of laminations of the planar members is three, there are five combinations based on the fiber orientation angle.

[0056]

[Table 13]

Further, the fiber orientation angles of the planar member can be set to the five types (0 degrees, θ ₁₎ by the designation means in the second step.
Degrees, -θ ₁ degree), if 90 degrees is specified, Table 1
As shown in FIG. 4, there are 14 combinations based on the fiber orientation angle.

[0058]

[Table 14]

Similarly, the number of layers and types of fiber orientation angles increase,
Or even if it decreases, the combination of the fiber orientation angles of the planar member is determined as described above.

Next, in the fourth step of the method for supporting the design of a fiber-reinforced plastic pipe according to the present invention, the pipe thickness, bending rigidity, and torsional rigidity at an arbitrary number of laminations from the minimum number of laminations to the maximum number of laminations. The calculation means for calculating is described. The calculation method is a method calculated by classical laminate theory. The physical property values of the respective planar members required for the calculating means are a longitudinal elastic modulus, a ballistic elastic modulus, a Poisson's ratio, a fiber orientation angle, and a wall thickness. In the calculation means, at an arbitrary number of laminations from the minimum number of laminations of the planar member to the maximum total number of laminations determined in the third step, the arrangement position of the planar member selected by the selection means in the second step is ,
The thickness, bending rigidity, and torsional rigidity of the pipe are calculated from the physical properties of the planar member at the position where the planar member is arranged.

The calculating means usually calculates the lamination structure of the planar members at the minimum lamination number of the planar members and the thickness, bending rigidity, and torsional rigidity of the pipe in the laminated structure. To the stacking structure selection means. In addition, if necessary, the number of stacks of an arbitrary planar member other than the minimum number of stacks is specified, and similarly, the wall thickness, bending rigidity, and torsional rigidity of the pipe are calculated, and the process proceeds to a stacking structure selection unit described later.

Further, in the calculating means, the combination of the lamination structure of the planar members is confirmed according to the type of the planar member. As shown in Table 15, the number of laminations of the planar members is 3, and A, B, and C3 are selected by the selecting unit in the second step.
When the type of the planar member is selected, the combination of the layered construction of a planar member in the pipe becomes 27 ways (3 ³ ways).

[0063]

[Table 15]

Further, in the calculation means, in all cases of the combination of the lamination structures depending on the type of the planar member, the combination based on the fiber orientation angle of the planar member is multiplied. rigidity,
Torsional stiffness is calculated. That is, three types of planar members A, B, and C are selected by the selecting unit, and the fiber orientation angle of the planar member is set to a positive arbitrary value other than 0 and 90 degrees by the specifying unit of the second step. It is assumed that three types of angle (θ ₁ ) and negative arbitrary angle (−θ ₁ ) are specified. At this time, the calculation means in the design support method of the present invention uses Table 1
The combinations of the fiber orientation angles of the planar members (three fiber orientation angles shown in Table 1 above) are multiplied to each of the 27 combinations of the laminar configurations of the planar members shown in FIG. The thickness, bending rigidity and torsional rigidity of the pipe in each case are calculated.

In the fifth step of the method for supporting the design of a fiber reinforced plastic pipe according to the present invention, the laminated structure selecting means includes a pipe thickness, a bending rigidity, and a torsion in each laminated structure of the planar member calculated by the calculating means. From the rigidity, the wall thickness of the pipe that satisfies the target value including the allowable value,
The bending stiffness, the torsional stiffness, and the lamination configuration of the planar member are selected and displayed on the display unit.

Next, the pipe thickness, bending stiffness, torsional stiffness, and the lamination configuration of the planar member that satisfy the target values including the allowable values selected by the lamination configuration selection means in the fifth step are checked. Here, as shown in FIG. 3, when it is desired to change the number of laminations of the planar members specified in the fourth step, the process returns to the calculating means in the fourth step,
It is also possible to specify the number of laminations of the planar members again, and to similarly proceed to the lamination configuration selection means in the fifth step.

[0067]

An embodiment of the present invention will be described with reference to the drawings. FIG. 9 is a display unit menu screen of one processing apparatus using the FRP pipe design support method according to the embodiment of the present invention. As shown in the figure, in the method for supporting design of an FRP pipe according to the present invention, an input means for inputting the outer diameter of the mandrel which is the second step, and the material name of the material which has been registered in advance as the first step And a selection means for selecting the physical property value are included in a menu of “1. Input of setting conditions”. Then, input means for inputting the pipe thickness, bending stiffness, and torsional stiffness as target values, which are the first steps, are included in the menu of “2. Setting of target values”. Then, input means for inputting the allowable value of the input target value, which is the first step, is included in the menu of “3. Setting of design allowable value”. And the third
The operation of determining the maximum stacking number and the minimum stacking number of the planar member satisfying the target value including the selected allowable value, which is the step, is included in the menu of “4. . The operation of registering the data from the input means in the first step to the designation means in the second step and the determination of the maximum number of layers and the minimum number of layers of the planar members in the third step is described in “5. "Registration of conditions" is included in the menu. Then, the operation of reading the data registered in the menu of “5. Registration of optimization condition” is included in the menu of “6. Loading of optimization condition”. Then, the operation of executing the stack configuration control unit of the third step, the calculation unit of the fourth step, and the stack configuration selection unit of the fifth step is “7. Execution of optimization”.
Included in the menu. Then, the operation of executing the database maintenance means for deleting, adding, or updating the material names of the materials registered in advance and their physical property values,
It is included in the menu of “8. Database maintenance program”. It consists of these menus. First, as shown in Table 16, as the input means in the present embodiment, the target values such as the wall thickness, bending rigidity, and torsional rigidity of the pipe and their allowable values were input. Further, a cross section in which the inner diameter of the FRP pipe was 14.3 mm was extracted. Since the inner diameter of the FRP pipe was the same as the outer diameter of the mandrel, the outer diameter of the mandrel was input as 14.3 mm.

[0068]

[Table 16]

Next, as a selecting means for selecting the material names of the sheet members registered in advance and their physical property values, as shown in Table 17, three kinds of sheet members in which various physical property values are registered are selected. did.

[0070]

[Table 17] A: PAN system 24 ton B: PAN system 30 ton C: PAN system 40 ton

As a designating means in this embodiment,
The fiber orientation angles of the planar member are 0, 45, -45, 9
Four degrees of 0 degree were designated. The operations up to the above are the first step and the second step in the present embodiment. Next, the maximum number of layers and the minimum number of layers of the planar member satisfying the target value including the above-mentioned allowable value are determined. First, the maximum number of laminated layers (M1MAX) and the minimum number of laminated layers (M1MIN) were calculated based on the thickness of the planar member and the target thickness of the pipe. The maximum number of layers (M1MAX) and the minimum number of layers (M1
Equation 1 and Equation 2 were used to calculate MIN). The calculation results are as shown in Table 18.

[0072]

[Table 18] M1MAX: Maximum number of stacks of the planar member in the pipe calculated based on the thickness of the planar member and the target thickness of the pipe M1MIN: Calculated based on the thickness of the planar member and the target thickness of the pipe Minimum number of sheet members in pipes

Next, the maximum number of laminations (M2MAX) and the minimum number of laminations (M2MIN) of the planar members were calculated from the specified longitudinal elastic modulus of the planar members and the target value of the bending rigidity of the pipe. Equations 5 and 6 were used to calculate the maximum number of layers (M2MAX) and the minimum number of layers (M2MIN). The calculation results are as shown in Table 19.

[0074]

[Table 19] M2MAX: the maximum number of laminated layers of the planar member in the pipe calculated from the longitudinal elastic modulus of the planar member and the target pipe bending rigidity (E ₁ IZ) M2MIN: the longitudinal elastic modulus of the planar member and the target value Minimum stacking number of planar members in a pipe calculated from the bending stiffness (E ₁ IZ) of the pipe

Next, the maximum lamination number (M3MAX) and the minimum lamination number (M3MI) of the planar members are determined by the specified elastic modulus of the planar members and the torsional rigidity of the pipe, which is the target value.
N) was calculated. Equations 9 and 10 were used to calculate the maximum number of layers (M3MAX) and the minimum number of layers (M3MIN). The calculation results are as shown in Table 20.

[0076]

[Table 20] M3MAX: The maximum number of stacks of the planar member in the pipe calculated from the elastic modulus of the planar member and the torsional rigidity of the pipe, which is the target value. M3MIN: The torsion of the pipe, which is the elastic modulus of the planar member and the target value. Minimum stacking number of planar members in pipe calculated by stiffness

As shown in Table 16, the target values in this embodiment are the wall thickness, bending stiffness, and torsional stiffness of the pipe. The number of layers and the minimum number of layers are as described below. The maximum number of layers indicating a range satisfying all of the ranges formed by the maximum number of layers and the minimum number of layers shown in Tables 18 to 20 is 17, and
The minimum number of layers is 10. Therefore, in the present embodiment, the maximum number of laminations of the planar members is 17 and the minimum number of laminations is 10 in the fiber reinforced plastic pipe design support method of the present invention.

Next, as the designating means in this embodiment, the fiber orientation angles of the planar member are set to 0 degree, 45 degrees, -45 degrees, and 90 degrees.
Since the four types of degrees are designated, the lamination configuration of the planar members is limited by the lamination configuration control means as follows. In the lamination configuration control means, in the lamination configuration of the pipe, the fiber orientation angles of the two planar members that are in contact with each other and laminated are set to 45 degrees or neither to -45 degrees. Further, in the lamination configuration control means, in the lamination configuration of the pipe, the fiber orientation angle of the planar member in contact with the outside of the planar member having the fiber orientation angle of 45 degrees is always -45.
It is a means to be a degree. Further, in the lamination configuration control means, in the lamination configuration of the pipe, the number of the planar members having the fiber orientation angle of 45 degrees is equal to the number of the planar members having the fiber orientation angle of -45 degrees. It is a means to do.

The number of laminations of the planar members in this embodiment is 10 to 17 as described above, and the combination of the fiber orientation angles of the planar members at each lamination number is determined by the lamination structure control means. In the present embodiment, the fiber orientation angle of the planar member is 0 degree, 45 degrees, -45 degrees, 90 degrees.
There are four types of degrees. Therefore, corresponds to an arbitrary positive angle (theta ₁₎ is 45 degrees in the Table 7, the negative arbitrary angle absolute value of the same arbitrary positive angle (θ ₁₎ (-θ ₁₎ to -45 degrees Equivalent to. Further, the number of laminations 3 in Table 7 is first replaced by 10 which is the minimum number of laminations of the planar member in this embodiment. Then, combinations of fiber orientation angles of the planar member in the present example are as shown in Table 21.

[0080]

[Table 21]

The number of combinations of the fiber orientation angles of the planar member in the present example shown in Table 21 was set to y as it was processed in the computer. Similarly, the combination of the fiber orientation angles of the planar members is determined when the number of laminated planar members in this embodiment is 11 or more. As described above, the determination of the maximum stacking number and the minimum stacking number of the planar member, and the lamination structure control means of the planar member are the third steps in the present embodiment.

As shown in Table 22, in this embodiment, three kinds of planar members A, B and C were selected by the selecting means. the combination of positions of the planar member becomes ways 5949 (3 ¹⁰ ways).

[0083]

[Table 22]

In the calculation means in the fourth step of this embodiment, the combinations based on the fiber orientation angles of the planar members (see Table 21) were used for all combinations of the lamination configurations of the planar members as shown in Table 22. Are combined, and a total of 5949 ×
The wall thickness, bending stiffness, and torsional stiffness of the pipe in each of the y combinations are calculated. The display (numerical display) of the calculation result by the calculation means is omitted.

In the fifth embodiment of the present invention, the laminating structure selecting means includes a target including a permissible value from the thickness, bending rigidity, and torsional rigidity of the pipe in each laminating structure of the planar member calculated by the calculating means. The wall thickness, bending stiffness, torsional stiffness, and the lamination structure of the planar member that satisfy the values are selected and displayed on the display unit. Table 23 shows an example of the sorting result by the sorting means.

[0086]

[Table 23]

As a result of the sorting by the sorting means, a combination of the arrangement positions of the 3081 types of planar members satisfying the target value, and the wall thickness, bending rigidity, and torsional rigidity of the pipe at the arrangement position are displayed. In the present embodiment, the calculation unit and the selection unit in the case where the number of stacked planar members is 11 or more are unnecessary.

[0088]

As is clear from the above description, the FRP pipe design supporting method of the present invention can reproduce the characteristic value of the FRP pipe extremely close to the actual one, and anyone can easily use it. The information necessary for designing and manufacturing the FRP pipe can be obtained.

[Brief description of the drawings]

FIG. 1 is a schematic block diagram of a processing apparatus according to the present invention.

FIG. 2 is a flowchart of a program according to the present invention.

FIG. 3 is a flowchart of the overall operation of the processing apparatus according to the present invention.

FIG. 4A is a perspective view showing a position where a planar member is wound around a mandrel, and FIG.
It is sectional drawing of the mandrel with which the cross-sectional shape was wound.

FIG. 5 is a diagram illustrating a planar member, a winding position of the planar member around a mandrel, and a fiber orientation angle.

6 (a) is a diagram showing a mandrel around which a planar member is wound, and FIG. 6 (b) is a diagram showing a mandrel in a VV 'portion and a WW' portion of FIG. 6 (a). It is a longitudinal cross-sectional view.

7A is a diagram showing a mandrel around which a planar member is wound, and FIG. 7B is a diagram showing a mandrel in a VV ′ portion and a WW ′ portion in FIG. 7A. It is a longitudinal cross-sectional view.

8A is a diagram showing a mandrel around which a planar member is wound, and FIG. 8B is a diagram showing a mandrel in a VV ′ portion and a WW ′ portion of FIG. 8A. It is a longitudinal cross-sectional view.

FIG. 9 is a diagram showing a display section menu screen of the design support method for a fiber reinforced plastic pipe in the embodiment of the present invention.

[Explanation of symbols]

Maximum vertical in the A planar member b planar member c planar member D _OUT FRP pipe made inside diameter E ₁ in the cross section of the outer diameter D _IN FRP pipe made in the cross section of the longitudinal elastic modulus E _1MAX selected planar member It is the largest peg modulus G _{12 min} selected in the minimum longitudinal modulus E ₂ modulus of transverse elasticity G ₁₂ shear modulus G _12MAX selected planar member in the elastic modulus E _1MIN selected planar member planar members in a pipe which is calculated by the thickness of the pipe is the minimum wall thickness and the target value of the peg modulus I _P sectional secondary polar moment I _Z geometrical moment of inertia M1MAX planar member in the planar member M1MIN The minimum number of layers of the planar member in the pipe calculated from the wall thickness of the planar member and the target wall thickness of the pipe M2MAX The longitudinal elastic modulus of the planar member and the bending stiffness of the pipe as the target value (E ₁ IZ) Maximum lamination number of planar members in pipe to be output M2MIN Minimum lamination number of planar members in pipe calculated by longitudinal elastic modulus of planar member and bending stiffness (E ₁ IZ) of pipe as target value M3MAX Plane member The maximum number of laminations of planar members in a pipe calculated by the helical elastic modulus of the pipe and the torsional rigidity of the pipe as the target value M3MIN The pipe calculated by the helical elastic modulus of the planar members and the torsional rigidity of the pipe as the target value N1 Mandrel Nd Diameter of mandrel T1 Target wall thickness of pipe ΔT1 Allowable value of pipe wall thickness of target value T2MAX Longitudinal elastic modulus of plane member and pipe target of target value Maximum pipe thickness calculated by bending stiffness T2MIN The longitudinal elastic modulus of the planar member and the target value of the pipe bending stiffness Minimum peg modulus of thickness T _3MAX planar member of the pipe and the target value at which the pipe largest peg modulus of pipe wall thickness T3MIN planar member which is calculated by the torsional stiffness of the calculated I The minimum pipe thickness calculated by the torsional rigidity of the pipe which is the target value X The maximum thickness among the selected planar members Y The minimum thickness among the selected planar members E ₁ I _Z flexural rigidity E ₁ Iz2 limit for pipe bending stiffness is flexural rigidity delta] E ₁ IZ target value of the pipe, which is the target value G ₁₂ I _P torsional rigidity G ₁₂ torsional rigidity of IP3 pipe is a target value delta G ₁₂ IP target value N is an integer indicating the stacking order of the planar members in the pipe y is the number of combinations of the fiber orientation angles of the planar members in the present embodiment θ ₁ The fiber orientation angle of the planar members θ ₂ Fiber Fiber orientation angle ν ₁₂ Poisson's ratio

──────────────────────────────────────────────────続 き Continued on the front page (51) Int.Cl. ⁷ Identification symbol FI Theme court ゛ (Reference) G06F 17/50 680 B29L 23:00 // B29K 105: 08 31:52 B29L 23:00 B29C 67/14 A 31:52 RF term (reference) 2C002 AA05 CS03 MM02 PP01 SS03 3H111 BA15 BA24 BA26 BA28 CB14 CC03 DB27 EA12 EA20 4F205 AA39 AD16 AG08 AH59 HA02 HA23 HA37 HA45 HB01 HL04 HL11 HT13 HT22 4F209 AA39 AC03 NA16 AG08 AA00 DA02 GA01 HA05 JA07 KA05

Claims (4)

[Claims] 1. A method for supporting the design of a fiber reinforced plastic pipe formed by winding a sheet member around a core material such as a mandrel, the method comprising the steps of: Pipe thickness, bending stiffness (E ₁ IZ), torsional stiffness (G ₁₂ IP),
A first step by input means for inputting those allowable values, an outer diameter input of the mandrel, and a selection means for selecting a material name of the sheet member registered in advance and its physical property value,
And the second step by the designating means for designating the fiber orientation angle of the selected planar member and the maximum lamination number and the minimum lamination number of the planar member satisfying the target value including the allowable value inputted in the first step. The third step by the lamination structure control means in which the combination in the lamination structure of the planar member is determined by the fiber orientation angle of the planar member, and the largest layer number from the minimum lamination number determined in the third step A fourth step of calculating means for calculating the lamination configuration of the planar members, the pipe thickness, the bending stiffness (E ₁ IZ), and the torsional stiffness (G ₁₂ IP) at an arbitrary number of laminations up to and the thickness of the pipe in the calculated laminated structure by, flexural rigidity (E ₁ IZ), than torsional rigidity (G ₁₂ IP), the wall thickness of the pipe which satisfies the target value including the allowable values, flexural rigidity (E ₁ IZ ) Re of rigidity (G ₁₂ IP), each planar member fiber-reinforced plastic pipe design support method characterized by comprising a fifth step of the laminate structure selection means for selecting a stackup of satisfying at least one 2. A method for supporting the design of a fiber reinforced plastic pipe formed by winding a sheet material around a core material such as a mandrel, wherein the material name of the sheet material registered in advance in the second step is 2. The golf shaft design support method according to claim 1, wherein the selecting means for selecting the material name and the physical property value has a database function for the material name and the material physical property. 3. A method for supporting the design of a fiber reinforced plastic pipe formed by winding a sheet member around a core material such as a mandrel, wherein the maximum number of sheet members and the minimum number of sheet sheets of the sheet member in the third step are determined. In order to satisfy the target value including the input allowable value, the determination method includes determining the thickness of the planar member selected in the second step and the pipe input as the target value including the allowable value in the first step. The maximum number of layers and the minimum number of layers of the planar member calculated based on the thickness of the sheet member, the longitudinal elastic modulus of the planar member selected in the second step, and the first
The maximum number and the minimum number of laminations of the planar member calculated by the bending stiffness of the pipe input as the target value including the allowable value in the step, the elastic modulus of the planar member selected in the second step, In a method determined to satisfy at least one of the maximum stacking number and the minimum stacking number of the planar member calculated based on the torsional rigidity of the pipe input as the target value including the allowable value in the first step. The method for supporting design of a fiber-reinforced plastic pipe according to claim 1, wherein the method is provided. 4. A method for supporting the design of a fiber reinforced plastic pipe formed by winding a planar member around a core material such as a mandrel. The fiber orientation angle of the member is 0
Degrees, a positive arbitrary angle, and a negative arbitrary angle in which the absolute value of the positive arbitrary angle is the same as the negative arbitrary angle. The lamination configuration is controlled so that the fiber orientation angle is either 0 degree or any positive angle, and the fiber orientation of the planar member adjacent to the outside of the planar member having a positive arbitrary fiber orientation angle. The stacking configuration is controlled such that the angle is a negative arbitrary angle having the same absolute value of the positive arbitrary angle, and the absolute value of the positive arbitrary angle is a negative arbitrary angle having the same absolute value. The lamination configuration control means, wherein the lamination configuration is controlled such that the fiber orientation angle of the planar member adjacent to the outside is either 0 degree or any positive angle. 4. The method for supporting design of a fiber-reinforced plastic pipe according to item 2 or 3.