Based on the principle of lightweight design, a method of using carbon fiber reinforced composite instead of traditional metal materials to design automobile carrier can be proposed. The method uses the equal stiffness design principle of the composite material parts to lay out the design of the carbon fiber parts, including the application of the laying angle and the thickness of the laying layer in design. Through the analysis of the actual working conditions of the lower arm, the stress and boundary conditions are obtained. After the design of the stiffness, the geometrical topology of the lower arm is further optimized. Finally, the lower arm of the carbon fiber not only met the performance requirements, but also to a certain extent, achieved the purpose of lightweight.
As the energy crisis continues to expand globally, fossil fuels are declining, global temperatures are rising, air quality is getting worse, so energy saving and emission reduction is the subject of today’s era. Data show that every 10% reduction in car weight, can reduce fuel consumption by 5%, or even reduce the fuel consumption to 20% [
Now the method of vehicle lightweight is mainly from three aspects, one is to optimize the design of the body structure and optimize the size of the various parts of the car to achieve the purpose of lightweight; the second is to use of lightweight materials, such as alloy, plastic, fiber reinforced composite materials, etc. [
Among the many lightweight materials, carbon fiber reinforced composites (CFRP) [
As an important part of connecting the wheel and the body, the suspension arm can directly affect the vehicle ride comfort and handling stability [
This article utilizes the principle of equal stiffness design, using composite materials instead of metal materials to achieve the purpose of lightweight, and the model is further optimized. Finally, the carbon fiber swing arm not only meets the strength requirement, but also reduces the weight of 46.8% heavier than the steel swing arm, which is 34.5% lower than that of the aluminum alloy arm. Through replacing the materials of lower arm, the purpose of light weight is achieved.
The article mainly explained a section of the car suspension lower arm of the lightweight design, so in the analysis of movement conditions, only the lower arm was analyzed. In the actual driving process, the force is very complicated, mainly including air resistance, slope resistance, frictional resistance and acceleration resistance. The suspension system is more complicated, but in general, it can be summarized as the lateral force, longitudinal force and vertical force [
Because the car in the uneven road driving is conducted, the vertical force of the role of lateral and longitudinal force are relatively small, ignoring its impact, assuming lateral force Y = 0 , longitudinal force X = 0 .
The calculation of the parameters is used in a compact car; the full load is 1425 kg, full load front axle allowable load is 760 kg, full load rear axle allowable load is 665 kg, and the tire type is 205/55 R 16. According to the relationship between the static stiffness and the inflation pressure of the radial tire [
F z max = K G 1 = 9375 N (2.1)
F g y = a c × F z max = 2358 N (2.2)
K ―wheel dynamic load factor; G 1 ―front wheel static load; a ―wheel and frame distance (take here 197 mm); c ―swing arm from the frame distance (take here 670 mm).
In this case, because the longitudinal force of the vehicle is small, the influence of the longitudinal force is ignored, so the longitudinal force X = 0 , the adhesion coefficient of good asphalt or concrete pavement is generally 0.7 - 1.0 [
F ′ z max = G ′ 1 = 7500 N (2.3)
F ′ y max = φ × F ′ z max = 6000 N (2.4)
F ′ z y = G ′ 1 φ b − e c = 5228 N (2.5)
G ′ 1 -Front axle static load.
As the vehicle emergency braking side force is very small, ignoring its lateral force, lateral force is 0. Due to the brake of a great inertia, the center of mass will move at any time, so the calculation of the load transfer coefficient is 1.6 [
F ′ z max = m G 1 = 5250 N (2.6)
F t = φ F ′ z max = 4200 N (2.7)
F ′ z x = m G 1 φ b − e c = 5046 N (2.8)
The model used in this paper is a typical McPherson suspension arm whose geometry is A-shaped. After measuring the size of the actual swing arm model, the model is simplified and the principle is:
1) Ignoring the impact of non-bearing structure on the model, such as casting lace;
2) Ignoring the arm shape and performance of the structure of little impact, such as only used to reduce the swing arm mass of the hole structure;
3) As only using the swing arm for static analysis, so ignore the swing arm of the process structure, to use of the original swing arm model [
After the simplification and processing of the model, the final use of the swing arm CAD analysis model (
In this paper, we used Hypermesh software to grid division and model analysis. In the grid division, the swing arm model is divided into four components for a separate division, especially in the force and round hole parts, the grid should be dense and detailed; in the small open position of the load, the grid division should be sparse. This division cannot only reduces the amount of computation, save time division, but also makes the latter results more accurate. In order to ensure the accuracy of the analysis results, this paper divides the model into a hexahedral mesh with a size of 10 mm [
This paper considers three kinds of extreme motion conditions of the suspension, which is the maximum working condition of the vertical force, the maximum working condition of the lateral force and the maximum working condition of the braking force. When the car drives the potholes uneven road, the suspension of the vertical force is huge, swing arm force mainly concentrated in the point C, so that when the vertical force is maximum, the concentration force is applied at the point C, fixed three translational degrees of freedom and two degrees of freedom of rotation of the point A and B, making it can only rotate around the axis of AB, at the same time in order to simulate the shock absorber spring imposed by the constraints, fixed the degree of freedom of the D point in the Z direction. When the braking force is maximum, swing arm along the X axis are took the maximum force, and the force of the point of action is C, the two points of A, B do not move any, so fixed two points of A, B all degrees of freedom. D point due to the role of the shock absorber, only fixed the degree of freedom of translation along the X axis. When the vehicle turns, swing arm along the Y axis are took the maximum force, fixed two points of A、B all degrees of freedom., fixed the degree of freedom of the D point in the Z direction (
According to the above analysis of the working condition and the treatment of the model, the stiffness coefficient of the arm and the arm of the aluminum alloy is first extracted. The displacement of the swing arm under the working conditions is the stiffness coefficient of the swing arm, which is used as the arm of the carbon fiber design basis.
Using the above material parameters (
Material | Weight (kg) | Density (kg/m3) | Young’s Modulus | Yield Strength (MPa) |
---|---|---|---|---|
Steel (SAPH400) | 4.4 | 7890 | 206,000 | ≥255 |
Aluminum alloy (6061) | 2.9 | 2690 | 72,000 | ≥110 |
Types Conditions | Vertical force maximum | Lateral force maximum | Maximum braking force |
---|---|---|---|
Steel | 0.0072 | 0.0099 | 0.019 |
Aluminum alloy | 0.021 | 0.029 | 0.056 |
Carbon fiber composite material consists of matrix and reinforcement, so that its modulus of elasticity includes the elastic modulus E m of the matrix material and the elastic modulus E f of the reinforcement material, the mechanics parameters of the single-layer plate can be calculated by the composite material mechanics [
Longitudinal elastic modulus E 1 : E 1 = E f 1 v f + E m ( 1 − v f ) (4.1)
Transverse elastic modulus E 2 : E 2 = E f 2 E m E m v f + E f 2 ( 1 − v f ) (4.2)
Poisson’s ratio v 1 , v 2 : v 2 = E 2 E 1 v 1 (4.3)
In-plane shear elastic modulus G 12 : G 12 = G f G m G m v f + G f ( 1 − v f ) (4.4)
The type of reinforcement used in this paper is carbon fiber (T300), The matrix is epoxy (5208) [
In order to facilitate the design analysis of the carbon fiber swing arm, the original CAD model is extracted and then meshed, because the carbon fiber swing arm connection point is still connected by metal bolts, so in the connection points are constrained by RBE2 rigid elements.
According to the principle of composite design, the main direction of the material laying must be consistent with the maximum load, so as to maximize the role and performance of the carbon fiber swing arm, the load on the material as shown in
This paper intends to use the composite layer of super-layer to lay the way, the super-layer is the meaning of a fixed number of single layer as a layer of consideration. From the previous principles of paving, we can see that the same angle of the laying cannot be laid more than four layers, so the two layers of laying angle cannot be the same, otherwise the same angle will be more than four layers. And from the table we can see that the 0˚ angle is about 1.5 times by the 45˚ angle of the laying, according to the principle of composite paving, 90˚ angle of the laying cannot be less than 10% of the total layer, and in order to change the tolerance properties of the material, at least set one 45/90/−45 of the layer, so as to to ensure the continuity of the outer layer of the laminate [
Based on the above analysis, this paper uses the test method for laying design. According to Niu Chunyun (michael C.Y. Niu) [
Conditions | The impact on the material | Corresponding to the laying angle | Load size | Size ratio (with a minimum load of 1) |
---|---|---|---|---|
Vertical force effect | Pull pressure | 0˚ | 2358 N | 1 |
The effect of braking force | Cut | ±45˚ | 5046 N | 2.2 |
Lateral force effect | Pull pressure | 0˚ | 5228 N | 2.2 |
requirements, it is optimized for its thickness. After analysis, the stiffness coefficient of the test layer (
Through the analysis of the stiffness of the swing arm of three different materials, it can be found that the displacement of the carbon fiber swing arm is much larger than that of the steel swing arm and the aluminum alloy arm in the vertical working condition and the braking condition [
From the results of the optimization, we can see that the carbon fiber swing arm in the vertical force under the maximum working conditions and braking conditions greatly reduced displacement, the stiffness of the arm with the arm of considerable arms, and steel swing arm is also very close, so the optimized car-
Conditions | Vertical force maximum | Lateral force maximum | The maximum braking force |
---|---|---|---|
Displacement (mm) | 0.094 | 0.021 | 0.144 |
bon fiber swing arm stiffness value has been in line with the design requirements.
In general, the composites are laminated structures. When the laminates are destroyed, the monolayers are usually destroyed one by one. Therefore, it is very important to analyze the stress of the single layer, based on the stiffness of the single plate, strength analysis of tensor (E. M. Wu) theory [
{ σ 1 σ 2 τ 12 } = [ m 2 n 2 2 m n n 2 m 2 − 2 m n − m n m n m 2 − n 2 ] { σ x σ y τ x y } (5.1)
Among them m = cos θ , n = sin θ , θ is the offset angle of each single layer;
Cai-Wu (E.M. Wu) Tensor theory:
F 11 σ 1 2 + 2 F 12 σ 1 σ 2 + F 22 σ 2 2 + F 66 τ 12 2 + F 1 σ 1 + F 2 σ 2 < 1 (5.2)
Among them: F 1 = 1 X t − 1 X c , F 11 = 1 X t X c , F 2 = 1 Y t − 1 Y c , F 22 = 1 Y t Y c , F 66 = 1 S 2
F 12 = − 1 2 1 X t X c Y t Y c (5.3)
X t , X c , Y t , Y c , S is the basic strength parameter of the orthotropic monolayer, and the parameters can be found in the material manual.
After analysis, it can be seen that under the three conditions, the maximum stress layer of the carbon fiber swing arm appears under the maximum working condition of the braking force, and the maximum stress layer appears on the 4th, 12th, 16th and 24th layers respectively (
Put this four-layer off-axis stress σ x = 74.4 MPa , σ y = 3.34 MPa , τ x y = 4.24 MPa and the strength of the parameters into the formula is:
( 0.44 × 34.63 2 − 6.72 × 34.63 × 43.11 + 101.6 × 43.11 2 ) × 10 − 6 − 216.2 × 35.52 2 × 10 − 6 + 20.93 × 43.11 × 10 − 3 = 0.81 < 1 ,
so the strength of the laminate meets the requirements.
In order to further reduce the quality of the carbon fiber swing arm, and to further optimize the thickness of the swing arm laying, for each super layer thickness optimization can achieve the purpose of optimizing the overall layer thickness, as the thickness of the single layer we choose is 0.381 mm, the total thickness cannot be more than 1.524 mm, so each super layer contains up to 4 single
layers, it contains at least one single layer, in the thickness optimization setting, the initial value is 1, the minimum thickness is 0.381 mm, the maximum thickness is 1.524 mm, every time it moves a distance to 0.381 mm [
From the analysis (
Through the analysis of the three working conditions of the carbon fiber swing arm, the stiffness of the carbon fiber swing arm under various working conditions can be obtained. Taking the stiffness as the constraint condition and the minimum volume as the optimization target, the mass density as the design variable, it optimized the swing arm. The topology optimization is optimized by 18 iterations. By analyzing the density distribution of the iterative step material, the unwanted material is removed and the quality of the components is lighter. Material density approaching 0 places can be reduced. The materials with a density of 1 tend to be reinforced, the optimized model is in
On the basis of the traditional metal arm, the three-dimensional model of the swing arm is established and the geometric processing is carried out. Based on the principle of equal stiffness design, the pendulum angle and the thickness of the pendulum are designed. On the basis of satisfying the design requirements, the carbon fiber swing arm has further thickness optimization and geometric topology optimization. Finally, the carbon fiber swing arm not only meets the strength requirement, but also reduces the weight of 46.8% than the steel swing arm, which is 34.5% lower than that of the aluminum alloy arm. Through replacing the materials of lower arm, the purpose of light weight is achieved.
Song, Z.F. and Zhao, X.Y. (2017) Research on Lightweight Design of Automobile Lower Arm Based on Carbon Fiber Materials. World Journal of Engineering and Technology, 5, 730-742. https://doi.org/10.4236/wjet.2017.54061