An alternative formulation for design sensitivity analysis of linear structural dynamic systems

1992 ◽  
Vol 44 (3) ◽  
pp. 689-692 ◽  
Author(s):  
Y. Zhang ◽  
D.T. Nguyen ◽  
J.W. Hou
Keyword(s):  
Sensitivity Analysis ◽  
Dynamic Systems ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Alternative Formulation ◽  
Structural Dynamic

Supercomputer-Based Sensitivity Analysis of Constrained Dynamic Systems

1987 ◽  
Author(s):  
P. Krishnaswami ◽  
S. Ramaswamy
Keyword(s):  
Sensitivity Analysis ◽  
Dynamic Systems ◽  
Large Scale ◽  
Computing Time ◽  
Computer Code ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Dramatic Reduction ◽  
Computational Performance ◽  
Computationally Intensive

Abstract Generalized design sensitivity analysis of constrained dynamic systems is a computationally intensive process that is well-suited for implementation on a modern supercomputer. A matrix oriented method for design sensitivity analysis, based on direct differentiation, is developed. An algorithm based on this development was implemented in a computer code which was then run on a Cray X-MP supercomputer. The implementation attempts to make full use of the vectorization capabilities of this machine. The numerical examples that were run on this implementation were compared with results presented in the literature in order to verify the program and to assess its computational performance. The results show that the use of supercomputers for performing design sensitivity analysis of dynamic systems using this method produces a dramatic reduction in the computing time; it is anticipated that this will make the optimization of very large-scale dynamic systems computationally viable.

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.

Design Sensitivity Analysis of Multibody Dynamic Systems for Parallel Processing

1989 ◽  
Author(s):  
T. Tak ◽  
S. S. Kim
Keyword(s):  
Sensitivity Analysis ◽  
Parallel Processing ◽  
Dynamic Systems ◽  
Large Scale ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Parallel Computer ◽  
Sensitivity Equations ◽  
Multibody Dynamic ◽  
High Level

Abstract Design sensitivity analysis of large scale multibody systems is a computationally intensive process, which is well suited for implementation on a parallel computer. This paper presents a parallel processing oriented generalized design sensitivity analysis method for multibody dynamic systems. A direct differentiation method, which is more efficient than an adjoint variable method in a parallel processing environment due to the inherent parallelism, is applied to a recursive formulation for multibody dynamics to set up dynamic sensitivity equations. A high level of parallelism is achieved, exploiting the independence of each set of design sensitivity equations. To verify the formulation for design sensitivity analysis and to demonstrate the speedup on a parallel computer, an example is presented.

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