Failure modes of a vehicle component designed for fuel efficiency
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Proceedings of the 2014 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering Failure modes of a vehicle component designed for fuel efficiency M.R. Idris, W.M.Wan Muhamad, S.Z. Ismail Abstract— Many automotive companies today are striving to build a fuel efficient vehicle due to increasing demand of small compact cars for urban use, high fuel prices and legislative requirements on emission control. This research is part of a concept car project that focuses on a weight reduction program. The component that is subjected to weight loss is known as steering knuckle. This research is to analyze the potential failure modes on a redesigned knuckle that have achieved maximum limit for weight reduction. The original component is then transformed into Finite Element Model (FEM) using HyperWorks software. The weight topologies are tested under different fatigue stresses for identification of crack initiation. A shape optimization method was then employed to verify the potential failures. The results will be presented in comparison to original knuckle design. A recommendation to enhance the component EUROPMENT will do the final formatting of your paper. strength will be proposed during the designing stage of the fuel Figure 1: Steering Knuckle LH & RH efficient car. Keywords—Knuckle, Weight reduction, Finite elements, HyperWorks, Fatigue I. INTRODUCTION In search to find replacement to fossil fuel, automotive manufacturers developed various technologies such as electric vehicle (EV), natural gas vehicle (NGV), biodiesel, hybrid etc. However, during commercialisation, problems pertaining to testing, costs and resources have yet to be resolved. A much radical solution is neede in order to improve fuel efficency. The weight reduction of vehicle components is also a key to Figure 2: Steering knuckle assembly fuel efficiency. Lighter material weights will result in fuel savings. Today, many vehicles are designed with lighter parts/materials in order to reduce its total weight . A simple This research is to study the failure modes of components weight test by author has revealed that by eliminating 20 kg that are subjected to weight reduction, in term of shape and (spare tyre), the extra mileage gain is 8-10 km for every dimension. The selected part is a steering knuckle. This is a 100km. The test is conducted in the motorway without heavy safety part which is linked to brake disc and steering linkages. traffic. The situation is likely to be doubled for city driving. Figure. 1 shows a set steering knuckles that are normally used The weight reduction activities on safety parts often seen as on cars and each part is weighing 1.5 kg. major obstacle to the designers. Any small changes in The steering knuckle is assembled on the brake disc housing parameters of parts will affect the material stresses than can as illustrated in Figure. 2. The research explores the design cause fatigue or crack initiation. optimisation using Finite Element Method to evaluate the stress valus under loading constraints. The failure modes of parts will be analysed. Key parameters will be determined to further optimised the dimension (weight lost) and hence to This work was supported is sponsored by Ministry of Science, Technology reduce potential failures. and Innovation (MOSTI) Malaysia M. R Idris is with Universiti Kuala Lumpur, Institute of Product Design Many think that EVs are bigger and heavier than and Manufacturing (IPROM), Malaysia (Telephone: 60391795000; fax: conventional ones because of their use of large batteries. This 60391795001, email: mrazif@iprom.unikl.edu.my) might be true for long range vehicles that require big heavy W.M.W.Muhamad is with Universiti Kuala Lumpur, Malaysia France batteries. The battery is usually considered the main Institute(MFI), Malaysia, email: drwmansor@mfi.unikl.edu.my) component in the EV weight. So, it is important to examine the S.Z. Ismail is with Universiti Kuala Lumpur, Institute of Product Design and Manufacturing (IPROM), Malaysia (email: s.zubaidah@unikl.edu.my) battery weight in the urban EV model. EV will use a Lithium- ion battery with average specific energy 0.13 kWh/Kg. For a ISBN: 978-1-61804-219-4 103
Proceedings of the 2014 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering 60-mile - 0.2 kWh/mile (97-mile - 0.12 kWh/km) urban stiffness-to-mass ratio by applying CAE based optimization vehicle, the total needed battery capacity would be 12 kWh. tools within consistent problem formulations. Since structural Therefore, the expected battery weight is about 90 kg which is optimizations have not been widely applied to the design of quite satisfactory for an urban EV. Moreover, the electric heavy vehicle structures such as a flatbed trailer, substantial motor of an EV is much lighter than the internal combustion improvement in structural performances can be expected by engine of a conventional vehicle delivering the same power. In using a systematic optimization procedure. [5] addition to the fact that the EV does not need manual or Optimization methods were developed to have lighter, less automatic gearbox, it is also possible to eliminate every cost and may have better strength too. Many optimization mechanical transmission using wheel-drive motors. types, methods and tools are available nowadays due to the Furthermore, future advancements in battery technology will revolution of the high speed computing and software make batteries smaller and lighter which will in turn lead to development. There are four disciplines in structural further reductions in weight and size of the EV. [1]. optimization process [6,7,8]. Biodiesel-fuelled diesel engines offer a substantial opportunity Topology optimization: provides optimum material layout to address two major issues facing our global society: energy according to certain the design space and loading case. consumption and global warming. A substantial portion of Shape optimization: supports optimum fillets and the energy consumption and carbon dioxide emission rates are optimum outer dimensions. furnished by the transportation industry, which in the United Size optimization: to obtain the optimum thickness of a States, for example, represented nearly 30% of the energy flow component. and over 31% of the vented CO2.[2]. However, the resources Topography: an advanced form of shape optimization, as for biodiesel are limited. it will generate reinforcements such as beads. The powertrain of a parallel hybrid electric vehicle (PHEV) Shape optimization refers to the optimal design of the shape is a hybrid system of an engine and an electric drive system. boundary of structural components, which is becoming Under the control of the advanced vehicle controller unit increasingly important in mechanical engineering design. (VCU), the drive force requested by the driver is optimally Current interest in structural shape optimization is largely distributed between the engine and the motor. The optimal motivated by demands for more cost competitive design distribution of the drive force is supervised by the vehicle throughout the industrial sector. Therefore, considerable effort energy management strategy (EMS), which is the kernel part has been devoted to developing efficient techniques for shape of the real-time control algorithm of the PHEV, and it is one of optimization [6]. Shape optimization is expected to further the key PHEV technologies in which many researchers are improve a design in achieving certain objectives after topology engaged. The goal of the EMS is to achieve a high efficiency, optimization was performed, such as in this work. energy saving, and low emissions vehicle by controlling the Finite element method used for many type of analysis, such hybrid powertrain system coordinately. This means that the as linear analysis, nonlinear analysis, fatigue analysis and performance of a PHEV is strongly dependent upon the another types. FE analysis was developed to solve the control of the hybrid powertrain system, which includes the optimization process such as Optistruct linear solver [8], engine, electric motor, electrical energy system, automatic TopShape [9], ANSYS, NASTRAN [10], ABAQUS etc. clutch and transmission.[3] Stress-life fatigue analysis was conducted to correlate the crack location between the failed component and the II. RESEARCH AIM AND OBJECTIVE simulation model. A new design proposal was determined with This research aims to provide solution to a car designer in the topology optimization approach, and then design optimizing the component structure against the types of failure optimization by response surface methodology was effectively modes. Designing a light weight component for fuel efficiency used to improve the new clutch fork design. The topology is likely to increase the fatigue stress distribution. optimization approach used in this study has found an original This study will identify the potential failure modes of crack load balanced optimum material distribution and it is initiation using topology and shape optimization approach. important to know the design space, the boundary conditions and the loads throughout the process. With the results from the topology optimization, design engineer are capable to define a III. METHODOLOGY detailed design. Topology optimization has proven very effective in determining the topology of initial design Topology and Shape optimization was applied to reduce structures for component development in the conceptual volume or weight of rear knuckle component in a local car design phase. After determining the initial topology, shape model. The approach is shown in Figure 3. optimization can be used for the final design. [4] Modeling, simulation and optimization processes used High stiffness, high strength, and light weight are important software modules included in Altair's HyperWorks. Utilizing issues when designing vehicle structures. To achieve such HyperMesh, solid model was imported for finite element goals, the recent applications of CAE based structural modeling where loads and constraints were applied. optimizations to the design of lightweight vehicle parts with Shape optimization process requires shape definition for high static and dynamic performances are regarded as efficient design variables and HyperMorph was used to conduct such approaches. Flatbed trailer is optimized to have a high purpose. Then, shape optimization process was conducted ISBN: 978-1-61804-219-4 104
Proceedings of the 2014 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering using OptiStruct. Furthermore, Hyperview and Hypergraph The applied material properties are presented in Table 1. were used to display and plot the data for results interpretation. Table 1: Material properties of knuckle Material Steel Density 7.85e-9 tonne/mm3 Poisson’s Ratio 0.3 Modulus of elasticity 200000 MPa Yield Stress 478.32 MPa Ultimate tensile stress 621 MPA B. Boundary Conditions and Loading In actual test performed in a local car manufacturing company, the knuckle is mounted when it subjected to the load. To represent this condition it is constrained from the back with all degree of freedom constraints. The part must be able to withstand 4000N sinusoidal load and greater than 350000 cycles. C. Optimization Parameters The vector of nodal coordinates (x) is used to define the shape of knuckles structure in finite element model. Using the basis vector approach, the structural shape is defined as a linear combination of basis vectors. The basis vectors define nodal locations. x = ∑ DVi . BVi (1) Figure 3: Design optimization flowchart Where x is the vector of nodal coordinates, BVi is the basis vector associated to the design variable DVi. Shape definition is based on the possible design space that Using the perturbation vector approach, the structural shape allows some of region in the component to be changed. It change is defined as a linear combination of perturbation depends on the interface and connection condition between the vectors. The perturbation vectors define changes of nodal component and other components that are attached to the locations with respect to the original finite element mesh. component. x = xo + ∑ DVi . PVi (2) IV.MODEL AND NUMERICAL ANALYSIS Where x is the vector of nodal coordinates, xo is the vector A. Finite Element Model of nodal coordinates of the initial design, PVi is the Finite element model for knuckle is shown in Figure 4 below. perturbation vector associated to the design variable DVi. This approach is adopted by the OptiStruct software. A general optimization or a mathematical programming problem can be stated as follows [11]. (3) which minimize f(X) subject to the constraints gj (X) ≤ 0, j = 1, 2, . . . ,m lj (X) = 0, j = 1, 2, . . . , p where X is an n-dimensional vector called the design vector, f (X) is termed the objective function, and gj (X) and lj (X) are known as inequality and equality constraints, respectively. Figure 4: Finite element knuckle model ISBN: 978-1-61804-219-4 105
Proceedings of the 2014 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering The objective of this optimization is to minimize volume while maximum stress of the elements became constraint variable. Design variables were determined using Hypermorph.[12] Seven shapes were defined (shape 1, shape 2, shape 3, shape 4, shape 5, shape 6 and shape 7) as design variables [9]. Figure 7: Element of Stress Region (for data collection) V. RESULTS AND DISCUSSION Figure 5: Knuckle analysis (Displacement Contour) Topology Optimization The data for the element of stresses were gathered using the Figure 5 shows the knuckle part that has been drawn in HyperWork Finite element method. finite element using HyperWork software. The part was analyzed under working loading constraints. The displacement Table 2: Stress values based on region contour indicates one side of part has been subjected to major Region ID Element Element of Stresses displacement. Location 41416 22.056 R1 178977 21.659 R2 33550 25.115 169422 23.887 159392 22.411 R4 168987 15.639 100040 33.084 168819 14.36 R5 167159 22.815 185359 35.696 R7 31645 38.712 194183 49.016 R8 133817 38.126 173430 25.31 R9 168766 28.81 158717 35.166 The data in Table 2 indicated that R7 (38.712, 49.016) & Figure 6. Knuckle analysis (Element of Stresses) R8 (38.126) are subjected to higher stress area. However, based on the red zone stress topology (Figure 8 & 9), the stress Figure 6 illustrates the state of element stress when part is concentrations were appeared at the mounting holes. This subjected under loading constraints. The red zones indicate means that under fatigue load condition, both R7 and R8 are the concentration of stress area where a potential failure (weak likely to fail due to crack initiation. point) tends to occur. The failures can be in the form of crack initiation or chip. Meanwhile the green colour zones are subjected to fatigue stress as they have continuous displacement at the same points over time. In this research, the stresses are analysed in 9 regions as shown in Figure 7. ISBN: 978-1-61804-219-4 106
Proceedings of the 2014 International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering moved to different regions with more severe red zone areas as shown in Fig. 10 and Fig. 11. VI. CONCLUSIONS Designing a fuel efficient car needs a systematic approach without compromise the safety and quality. Many developments toward new technologies (EV, NGV and hybrid) for fuel efficient and zero emission are taking place. However, Figure 8: R7 Figure 9: R8 the fundamental problems pertaining to batteries life, material costs and other design constraints are yet to be resolved. This Shape Optimization research has successfully explored the topology and shape optimization methodologies to reduce component weight and Shape definition is based on the possible design space that as well as predicting the potential failure modes. This method allows some of region in the component to be changed. It is found to be useful and reliable during parts development depends on the interface and connection condition between the stage. component and other components that are attached to the component. ACKNOWLEDGEMENTS This research was sponsored by Ministry of Science, Technology and Innovation (MOSTI) Malaysia TechnoFund Table 3: Stress values based on region Grant. The authors would like to thank PROTON and UniKL Region for their support. ID Element Element of Stresses Location REFERENCES R2 170215 265.287 [1] Noha Sadek. Urban electric vehicles: a contemporary business case. 163864 197.686 Eur. Transp. Res. Rev. (2012) 4:27–37. 2012 [2] B.T. Tompkins, H. Song, J.A. Bittle, T.J. Jacobs. Efficiency R3 158999 404.124 considerations for the use of blended biofuel in diesel engines. Applied 169876 298.43 Energy 98 (2012) 209–218. 2012 [3] B. Suh, A. Frank, Y. J. Chung, E. Y. Lee,Y. H. Chang, S. B. Han. 164975 243.128 Power train System Optimization for a Heavy-duty Hybrid Electric Bus. 100040 216.217 International Journal of Automotive Technology, Vol. 12, No. 1, pp. R5 53344 148.259 131−139 (2011). 2009 R6 133446 191.321 [4] Necmettin Kaya, Idris Karen, Ferruh Ozturk. Materials and Design 31. Re-design of a Failed Clutch Fork Using Topology and Shape R7 59754 192.57 Optimization by the Response Surface Method. Materials and Design 185361 247.053 Volume 31, Issue 6, June 2010, Pages 3008-3014. 2010 39479 281.388 [5] Gang-Won Jang, Min-Su Yoon, Jae Ha Park. Lightweight flatbed trailer design by using topology and thickness optimization. Struct Multidisc 160985 353.481 Optim (2010) 41:295–307. 2009 R8 103931 187.934 [6] Altair Hyperworks 10, Altair Engineering Inc., India, 2010. [7] Kojima,Y., “Mechanical CAE in automotive design”, R & D review of Toyota CRLD, Vol 35, No. 4, 2000. [8] Obayashi S, Tsukahara T. “Comparison of optimization algorithms for aerodynamic shape design”. AIAA Journal, Vol. 35, No. 8. 1997. [9] Richards RA. “Zeroth-order shape optimization utilizing a learning classifier system”. PhD Dissertation, Mechanical Engineering Department, Stanford University, 1995. [10] Yang. R.J., “Design Modeling consideration in Shape Optimization of Solids”, Computers & Structures, Vol. 34, Issue 5, 1990 [11] Rao S.S., “Engineering Optimization Theory and Practice”, John Wiley & Sons, Inc4th edition, 2009. [12] HyperMorph Introduction Methods for Morphing Finite Element Models, Altair Engineering Inc., India, 2006. Figure 10: R3 Figure 11: R8 In this research the` weight lost’ parameters are defined as to reduce the shape size and its dimensions. For experimentation purposes, the part is subjected to 10 % REDUCTION in thickness, diameters and angles. The part is now redesigned and was tested under the same loading constraints. The results show some stress concentrations have ISBN: 978-1-61804-219-4 107
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