Exact modal analysis of an idealised whole aircraft using symbolic computation

Banerjee, J.R.

doi:10.1017/s0001924000091545

Cited by 3 publications

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Computational certification under limited experiments

Fish

Yuan

Kumar³

2018

Numerical Meth Engineering

View full text Add to dashboard Cite

Summary A computational certification framework under limited experimental data is developed. By this approach, a high‐fidelity model (HFM) is first calibrated to limited experimental data. Subsequently, the HFM is employed to train a low‐fidelity model (LFM). Finally, the calibrated LFM is utilized for component analysis. The rational for utilizing HFM in the initial stage stems from the fact that constitutive laws of individual microphases in HFM are rather simple so that the number of material parameters that needs to be identified is less than in the LFM. The added complexity of material models in LFM is necessary to compensate for simplified kinematical assumptions made in LFM and for smearing discrete defect structure. The first‐order computational homogenization model, which resolves microstructural details including the structure of defects, is selected as the HFM, whereas the reduced‐order homogenization is selected as the LFM. Certification framework illustration, verification, and validation are conducted for ceramic matrix composite material system comprised of the 8‐harness weave architecture. Blind validation is performed against experimental data to validate the proposed computational certification framework.

show abstract

Computational certification under limited experiments

Fish

Yuan

Kumar³

2018

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

An exact method for free vibration of beams and frameworks using frequency-dependent mass, elastic and geometric stiffness matrices

Banerjee

2024

Computers & Structures

View full text Add to dashboard Cite

Multifidelity Optimization for Variable-Complexity Design

Robinson¹,

Willcox²,

Eldred³

et al. 2006

11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference

View full text Add to dashboard Cite

Surrogate-based-optimization methods provide a means to minimize expensive highfidelity models at reduced computational cost. The methods are useful in problems for which two models of the same physical system exist: a high-fidelity model which is accurate and expensive, and a low-fidelity model which is less costly but less accurate. A number of model management techniques have been developed and shown to work well for the case in which both models are defined over the same design space. However, many systems exist with variable fidelity models for which the design variables are defined over different spaces, and a mapping is required between the spaces. Previous work showed that two mapping methods, corrected space mapping and POD mapping, used in conjunction with a trust-region model management method, provide improved performance over conventional non-surrogate-based optimization methods for unconstrained problems. This paper extends that work to constrained problems. Three constraint-management methods are demonstrated with each of the mapping methods: Lagrangian minimization, an sequential quadratic programming-like surrogate method, and MAESTRO. The methods are demonstrated on a fixed-complexity analytical test problem and a variable-complexity wing design problem. The SQP-like method consistently outperformed optimization in the high-fidelity space and the other variable complexity methods. Corrected space mapping performed slightly better on average than POD mapping. On the wing design problem, the combination of the SQP-like method and corrected space mapping achieved 58% savings in high-fidelity function calls over optimization directly in the high-fidelity space.

show abstract

Exact modal analysis of an idealised whole aircraft using symbolic computation

Abstract: Exact expressions for the frequency equations and mode shapes of an idealised whole aircraft are derived using the symbolic computation package REDUCE. The aircraft is idealised as a bending-torsion coupled beam for … Show more

Cited by 3 publications

References 9 publications

Computational certification under limited experiments

Computational certification under limited experiments

An exact method for free vibration of beams and frameworks using frequency-dependent mass, elastic and geometric stiffness matrices

Multifidelity Optimization for Variable-Complexity Design

Contact Info

Product

Resources

About