Structural optimization of an automobile roof structure using equivalent static loads

Jeong, Seung-Hyun; Yi, Seho; Kan, Cing-Dao; Nagabhushana, Vinay; Park, G.-J.

doi:10.1243/09544070jauto855

Cited by 28 publications

(19 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many studies using ESLM have been reported with regard to practical crash optimization problems. 4,15,16,19,20,30…”

Section: Crash Optimization Methodsmentioning

confidence: 99%

“…Therefore, crash analysis and linear static response structural optimization are cyclically repeated until the convergence criterion is satisfied. In general, ESLM can find an optimum solution with a small number of crash analyses 16–20 and can consider size, shape, and topology optimizations in a unified manner. 21–23 Lee and Park 4 solved crash optimization with regard to the IIHS side impact test.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vehicle crash optimization considering a roof crush test and a side impact test

Lee

Han

Park

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

The vehicle performances for the side impact test and the roof crush test are dependent on the side structure design of a vehicle. Crash optimization can be employed to enhance the performances. A meta-model-based structural optimization technique is generally utilized in the optimization process since the technique is simple to use. However, the meta-model-based optimization is not suitable for problems with many design variables such as topology and topometry optimizations. A crash optimization methodology is proposed to consider both the side impact test and the roof crush test. The equivalent static loads method is adopted for the side impact test and the enforced displacement method is adopted for the roof crush test, and the two methods are integrated. A design formulation is defined. The survival distance from the side impact test and the roof strength for the roof crush test are used for the design constraints. Crash optimization is performed for a practical large-scale structure. For conceptual design, reinforcement of the B-pillar is determined by using topometry optimization, and size and shape optimizations are employed for a detailed design to satisfy the design constraints while the mass is reduced.

show abstract

“…Many studies using ESLM have been reported with regard to practical crash optimization problems. 4,15,16,19,20,30…”

Section: Crash Optimization Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vehicle crash optimization considering a roof crush test and a side impact test

Lee

Han

Park

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

show abstract

“…For the linear dynamic and non‐linear static optimization problems, it has been validated that the solution from the ESLs method satisfies the Karush–Kuhn–Tucker (KKT) necessary conditions 25, 27, 39. However, the proof is not made for non‐linear dynamic response optimization using ESLs yet and only numerical experiments have been validated 40, 41.…”

Section: Esls Methodsmentioning

confidence: 99%

Shape optimization of the initial blank in the sheet metal forming process using equivalent static loads

Lee

Park

2010

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYIn the sheet metal forming process, forming the final desired shape is difficult to obtain due to wrinkling, tearing, failure of material, etc. Various conditions of the forming process should be controlled for the desired shape. These conditions are the velocity of the punch, the friction factor, the blank holding force, the initial shape of the blank and others. Many researchers have conducted studies to predetermine the initial blank shape. The structural optimization technique is one of them. Non-linear response structural optimization is required because non-linearities are involved in the analysis of the metal forming process. When the conventional method is utilized, the cost is extremely high due to repeated non-linear analysis for function and sensitivity calculation. In this paper, the equivalent static loads (ESLs) method is used to determine the blank shape which leads to the final desired shape and reduced wrinkling. The ESLs method is a structural optimization method where non-linear dynamic loads are transformed into ESLs, and these ESLs are utilized as external loads in linear response optimization. The design is updated in linear response optimization. Non-linear analysis is performed with the updated design and the process proceeds in a cyclic manner. An optimization formulation is defined for the examples, the formulated problems are solved to verify the proposed method and the results are discussed. Non-linear analysis is performed using the commercial software LS-DYNA, NASTRAN is used for calculating the ESLs and linear response optimization, and an interface program for LS-DYNA and NASTRAN is developed.

show abstract

“…Usually, the second-order mathematical model is used for the physical model. 38,39 Suppose there are k design factors defined in the vector form x =[ x 1 , x 2 , &, x k ] T , then the system’s response of the object function can be written as…”

Section: Vertical Vibration Analysis Of a Modified Electric Vehiclementioning

confidence: 99%

Reliability-based design optimization for vertical vibrations of a modified electric vehicle using fourth-moment polynomial standard transformation method

Wang

Hua

Han

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

This article presents a new reliability-based design optimization procedure for the vertical vibration issues raised by a modified electric vehicle using fourth-moment polynomial standard transformation method. First, the fourth-moment polynomial standard transformation method with polynomial chaos expansion is used to obtain the reliability index of uncertain constraints in the reliability-based design optimization which is highly precise and saves computing time compared with other common methods. Next, the half-car model with nonlinear suspension parameters for the modified electric vehicle is investigated, and the response surface methodology is adopted to approximate the complex and time-consuming vertical vibration calculation to the polynomial expressions, and the approximation is validated for reliability-based design optimization results within permissible error level. Then, reliability-based design optimization results under both deterministic and uncertain load parameters are shown and analyzed. Unlike the traditional vertical vibration optimization that only considers one or several sets of load parameters, which lacks versatility, this article presents the reliability-based design optimization with uncertain load parameters which is more suitable for engineering. The results show that the proposed reliability-based design optimization procedure is an effective and efficient way to solve vertical vibration optimization problems for the modified electric vehicle, and the optimization statistics, including the maximum probability interval, can provide references for other suspension dynamical optimization.

show abstract

Structural optimization of an automobile roof structure using equivalent static loads

Cited by 28 publications

References 9 publications

Vehicle crash optimization considering a roof crush test and a side impact test

Vehicle crash optimization considering a roof crush test and a side impact test

Shape optimization of the initial blank in the sheet metal forming process using equivalent static loads

Reliability-based design optimization for vertical vibrations of a modified electric vehicle using fourth-moment polynomial standard transformation method

Contact Info

Product

Resources

About