Method for determining the critical buckling load of a glass fiber composite circular saw blade

Abstract

The application discloses a method for determining a critical buckling load of a glass fiber composite circular saw blade, and is used for a reinforced composite circular saw blade with an outer diameter D, a thickness H, a center hole diameter Φ and a flange diameter d; wherein a radial length of a tool holder is L1; an elastic modulus of reinforcing fibers in the glass fiber composite material is E f , a Poisson's ratio is v f , and a volume content is V f ; an elastic modulus of a resin matrix is E m , a Poisson's ratio is v m , and a volume content is V m ; an elastic modulus of a tool holder material is E1, a Poisson's ratio is v m1 ; a density of the glass fiber reinforced composite material is ρ; a center hole edge is fixedly clamped, an angular velocity of the saw blade is ω during cutting work, a normal force component is applied to the saw blade to cause out-of-plane buckling of the saw blade, and the critical buckling load P ncr of the glass fiber composite circular saw blade is determined by a formula. According to the method, the critical buckling load Pncr of the circular saw blade during work can be determined according to original working conditions and material parameters, and thus a basis is provided for design and development of the glass fiber composite circular saw blade.

Description

Technical Field

[0001] This invention relates to the field of mechanical analysis technology, specifically to a method for determining the critical buckling load of a glass fiber composite circular saw blade. Background Technology

[0002] Circular saws have many advantages, such as high cutting efficiency and good cutting quality, and are therefore widely used. Currently, circular saws mainly use steel-based saw blades, but the disadvantages of steel-based saw blades are: (1) they generate a lot of noise during cutting (some can reach 110dB), which seriously affects the working environment and harms the health of workers; (2) they are heavy, energy-intensive, and expensive. However, lightweight, noise-reducing, and corrosion-resistant are precisely the advantages of composite materials. At the same time, using composite materials to make saw blade base plates can greatly reduce saw blade vibration, reduce cutting edge chipping, and improve cutting accuracy and cutting quality.

[0003] However, the design methods for composite circular saw blades are still immature. Especially when they are first put into use, the impact radial load can cause the saw blade to buckle. In mild cases, this can cause chipping of the cutting edge, and in severe cases, it can even directly cause the saw blade to fail. This is actually a stability problem under complex loads, and this problem has not yet been solved analytically, thus affecting the design and development of composite saw blades. Summary of the Invention

[0004] To overcome the shortcomings of the prior art, this invention discloses a method for determining the critical buckling load of a glass fiber composite circular saw blade.

[0005] To achieve the above objectives, the present invention provides the following technical solution:

[0006] This invention discloses a method for determining the critical buckling load of a glass fiber composite circular saw blade.

[0007] Critical buckling load was determined for glass fiber reinforced composite circular saw blades with outer diameter D, thickness H, center hole diameter Φ, and flange diameter d.

[0008] The radial length of the tool holder is L1;

[0009] The elastic modulus of the reinforcing fibers in the glass fiber composite material is E. f Poisson's ratio is v f Volume content is V f ;

[0010] The elastic modulus of the resin matrix in the glass fiber composite material is E m Poisson's ratio is v m Volume content is V m ;

[0011] The elastic modulus of the tool holder material is E1, and the Poisson's ratio is v. m1;

[0012] The density of the glass fiber reinforced composite material is ρ;

[0013] When the saw blade is clamped at the edge of the center hole and cuts, its angular velocity is ω. The normal force component will cause the saw blade to buckle out of plane. The critical buckling load P of the glass fiber composite circular saw blade is... ncr Determined by formula (1):

[0014]

[0015] in:

[0016] π is the mathematical constant pi.

[0017] E x1 =E1 is the elastic modulus of the tool holder material;

[0018] Let be the moment of inertia of the buckling point tool holder about the z-axis;

[0019] E x2 The flexural modulus of elasticity in the xy plane of a glass fiber reinforced composite substrate can be obtained through experimental testing or theoretical calculation. The formula for theoretical calculation is as follows:

[0020] E 2L =E f V f +E m V m (2)

[0021]

[0022] Based on the saw blade's operating conditions, the glass fiber reinforced composite substrate uses a woven fabric with identical longitudinal and transverse fibers, and employs a non-polar symmetrical layup. Therefore:

[0023]

[0024] The moment of inertia of the glass fiber reinforced composite substrate about the z-axis is the buckling point.

[0025] This is a comprehensive coefficient that incorporates constraints and variable cross-section factors.

[0026] All parameters are expressed in the International System of Units (SI).

[0027] Compared with the prior art, the present invention has at least the following advantages:

[0028] The method for determining the critical buckling load of a glass fiber reinforced composite circular saw blade provided by this invention can determine the critical buckling load Pncr of the glass fiber reinforced composite circular saw blade during operation based on the original working conditions and material parameters. This provides a basis for the design and development of glass fiber composite circular saw blades and ensures that the mechanical properties of the circular saw blade meet the requirements. Attached Figure Description

[0029] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below.

[0030] Figure 1 This is a schematic diagram of the cutting force during circular saw cutting;

[0031] Figure 2 The diagram simplifies the radial load and constraints on the circular saw blade and provides a coordinate system for analysis, helping users to correlate the parameters with the coordinate system when using formulas.

[0032] Figure 3 This is a three-dimensional buckling diagram of a saw blade in numerical simulation without considering inertial forces. Detailed Implementation

[0033] The present invention will now be described in further detail with reference to the embodiments and accompanying drawings, so that those skilled in the art can implement it based on the description.

[0034] join Figure 1-3 As shown, this embodiment of the invention discloses a method for determining the critical buckling load of a glass fiber composite circular saw blade, which identifies the critical buckling load for a glass fiber reinforced composite circular saw blade with outer diameter D, thickness H, center hole diameter Φ, and flange diameter d.

[0035] The radial length of the tool holder is L1;

[0036] The elastic modulus of the reinforcing fibers in the glass fiber composite material is E. f Poisson's ratio is v f Volume content is V f ;

[0037] The elastic modulus of the resin matrix in the glass fiber composite material is E m Poisson's ratio is ν m Volume content is V m ;

[0038] The elastic modulus of the tool holder material is E1, and the Poisson's ratio is v. m1 ;

[0039] The density of the glass fiber reinforced composite material is ρ;

[0040] When the saw blade is clamped at the edge of the center hole and cuts, its angular velocity is ω. The normal force component will cause the saw blade to buckle out of plane. The critical buckling load P of the glass fiber composite circular saw blade is... ncr Determined by formula (1):

[0041]

[0042] in:

[0043] π is the mathematical constant pi.

[0044] E x1 =E1 is the elastic modulus of the tool holder material;

[0045] Let be the moment of inertia of the buckling point tool holder about the z-axis;

[0046] E x2 The flexural modulus of elasticity in the xy plane of a glass fiber reinforced composite substrate can be obtained through experimental testing or theoretical calculation. The formula for theoretical calculation is as follows:

[0047] E 2L =E f V f +E m V m (2)

[0048]

[0049] Based on the saw blade's operating conditions, the glass fiber reinforced composite substrate uses a woven fabric with identical longitudinal and transverse fibers, and employs a non-polar symmetrical layup. Therefore:

[0050]

[0051] The moment of inertia of the glass fiber reinforced composite substrate about the z-axis is the buckling point.

[0052] This is a comprehensive coefficient that incorporates constraints and variable cross-section factors.

[0053] All parameters are expressed in the International System of Units (SI).

[0054] The method for determining the critical buckling load of a glass fiber reinforced composite circular saw blade provided in this invention embodiment can determine the critical buckling load Pncr of the glass fiber reinforced composite circular saw blade during operation based on the original working conditions and material parameters. This provides a basis for the design and development of glass fiber reinforced composite circular saw blades, ensuring that the mechanical properties of the circular saw blade meet the requirements.

[0055] Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention. Therefore, the invention is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for determining the critical buckling load of a glass fiber composite circular saw blade, characterized in that: Critical buckling load was determined for glass fiber reinforced composite circular saw blades with outer diameter D, thickness H, center hole diameter Φ, and flange diameter d. The radial length of the tool holder is L1; The elastic modulus of the reinforcing fibers in the glass fiber composite material is E. f Poisson's ratio is ν f Volume content is V f ; The elastic modulus of the resin matrix in the glass fiber composite material is E m Poisson's ratio is ν m Volume content is V m ; The elastic modulus of the tool holder material is E1, and the Poisson's ratio is ν. m1 ; The density of the glass fiber reinforced composite material is ρ; When the saw blade is clamped at the edge of the center hole and cuts, its angular velocity is ω. The normal force component will cause the saw blade to buckle out of plane. The critical buckling load P of the glass fiber composite circular saw blade is... ncr Determined by formula (1): in: π is the mathematical constant pi. E x1 =E1 is the elastic modulus of the tool holder material; Let be the moment of inertia of the buckling point tool holder about the z-axis; E x2 The flexural modulus of elasticity in the xy plane of a glass fiber reinforced composite substrate can be obtained through experimental testing or theoretical calculation. The formula for theoretical calculation is as follows: E 2L =E f V f +E m V m (2) Based on the saw blade's operating conditions, the glass fiber reinforced composite substrate uses a woven fabric with identical longitudinal and transverse fibers, and employs a non-polar symmetrical layup. Therefore: The moment of inertia of the glass fiber reinforced composite substrate about the z-axis is the buckling point. This is a comprehensive coefficient that incorporates constraints and variable cross-section factors. All parameters are expressed in the International System of Units (SI).

Images