Design Optimization for Structural-Acoustic Problems Using FEA-BEA With Adjoint Variable Method

2003 ◽  
Vol 126 (3) ◽  
pp. 527-533 ◽  
Author(s):  
Jun Dong ◽  
Kyung K. Choi ◽  
Nam H. Kim
Keyword(s):  
Finite Element ◽  
Design Optimization ◽  
Boundary Element ◽  
Design Sensitivity ◽  
Variable Method ◽  
Adjoint Variable Method ◽  
Adjoint Variable ◽  
Element Analysis ◽  
Structural Dynamic ◽  
Structural Part

A noise-vibration-harshness (NVH) design optimization of a complex vehicle structure is presented using finite element and boundary element analyses. The steady-state dynamic behavior of the vehicle is calculated from the frequency response finite element analysis, while the sound pressure level within the acoustic cavity is calculated from the boundary element analysis. A reverse solution process is employed for the design sensitivity calculation using the adjoint variable method. The adjoint load is obtained from the acoustic boundary element re-analysis, while the adjoint solution is calculated from the structural dynamic re-analysis. The evaluation of pressure sensitivity only involves a numerical integration process over the structural part where the design variable is defined. A design optimization problem is formulated and solved, where the structural weight is reduced while the noise level in the passenger compartment is lowered.

scholarly journals Design Optimization for Structural-Acoustic Problems Using FEM-BEM

2002 ◽  
Author(s):  
Kyung K. Choi ◽  
Jun Dong ◽  
Nam Ho Kim
Keyword(s):  
Finite Element ◽  
Design Optimization ◽  
Boundary Element ◽  
Noise Level ◽  
Optimization Problems ◽  
Design Sensitivity ◽  
Response Analysis ◽  
Element Analysis ◽  
Structural Dynamic ◽  
Structural Part

A structural-acoustic design optimization of a vehicle is presented using finite element and boundary element analyses. The steady-state dynamic behavior of the vehicle is calculated from the finite element frequency response analysis, while the sound pressure level within the acoustic cavity is calculated using the boundary element analysis. A reverse solution procedure is employed for the design sensitivity calculation using the adjoint variable method. An adjoint load is obtained from the acoustic boundary element re-analysis, while the adjoint solution is calculated from the structural dynamic re-analysis. The evaluation of pressure sensitivity only involves a numerical integration process for the structural part. Two design optimization problems are formulated and solved. It has been shown that the structural weight is saved when the noise level is maintained, and the weight needs to increase in order to reduce the noise level in the passenger compartment.

A Sequential Adjoint Variable Method in Design Sensitivity Analysis of NVH Problems

2001 ◽  
Author(s):  
N. H. Kim ◽  
K. K. Choi ◽  
J. Dong ◽  
C. Pierre ◽  
N. Vlahopoulos ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Boundary Element ◽  
Design Sensitivity ◽  
Variable Method ◽  
Design Sensitivity Analysis ◽  
Response Analysis ◽  
Adjoint Variable Method ◽  
Adjoint Variable ◽  
Structural Dynamic ◽  
Structural Part

Abstract A design sensitivity analysis of a sequential structural-acoustic problem is presented. A frequency response analysis is used to obtain the dynamic behavior of an automotive structure, while the boundary element method is used to solve the pressure response of an interior, acoustic domain. For the purposes of design sensitivity analysis, a direct differentiation method and an adjoint variable method are presented. In the adjoint variable method, an adjoint load is obtained from the acoustic boundary element re-analysis, while the adjoint solution is calculated from the structural dynamic re-analysis. The evaluation of pressure sensitivity only involves a numerical integration process for the structural part. The proposed sensitivity results are compared to finite difference sensitivity results with excellent agreement.

Parametric Design Sensitivity Analysis of High Frequency Structural-Acoustic Problems Using Energy Finite Element Method

2003 ◽  
Author(s):  
Kyung K. Choi ◽  
Jun Dong ◽  
Nickolas Vlahopoulos ◽  
Aimin Wang ◽  
Weiguo Zhang
Keyword(s):  
Finite Element Method ◽  
Sensitivity Analysis ◽  
Finite Element ◽  
High Frequency ◽  
Parametric Design ◽  
Design Sensitivity ◽  
Variable Method ◽  
Design Sensitivity Analysis ◽  
Adjoint Variable Method ◽  
Adjoint Variable

A design sensitivity analysis of high frequency structural-acoustic problem is formulated and presented. The Energy Finite Element Method (EFEM) is used to predict the structural-acoustic responses in high frequency range, where the coupling between the structural and acoustic domain are modeled by using radiation efficiency. The continuum design sensitivity formulation is derived from the governing equation of EFEM and the discrete method is applied in the variation of the structural-acoustic coupling matrix. The direct differentiation and adjoint variable method are both developed for the sensitivity analysis, where the difficulty of the adjoint variable method is overcome by solving a transposed system equation. Parametric design variables such as panel thickness and material damping are considered for sensitivity analysis, and the numerical sensitivity results show excellent agreement comparing with the finite difference results.

Sign in / Sign up

Export Citation Format

Share Document