Piston Theory-A New Aerodynamic Tool for the Aeroelastician

Ashley, Holt; Zartarian, Garabed

doi:10.2514/8.3740

Cited by 516 publications

(126 citation statements)

References 3 publications

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“…In the global system, the element stiffness and mass matrices are [3], is a powerful tool for aeroelasticity modeling. In this study the fluid-structure effect due to external pressure loading can be taken into account using the linearized first-order potential theory.…”

Section: Mass and Stiffnessmentioning

confidence: 99%

“…Dowell gives an exhaustive study of the aeroelasticity of shells and plates in his book [2]. After introducing the application of piston theory in the aeroelastic modeling presented by Ashley and Zatarian [3], a number of interesting experimental and theoretical studies were carried out to investigate the supersonic flutter of cylindrical shells. In general, all of this research was concerned with the development of an analytical relation to describe the effect of shell and flow parameters on the critical flutter dynamic pressure.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation of the Flutter of a Spherical Shell

Menaa

Lakis

2013

Journal of Vibration and Acoustics

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In this study, aeroelastic analysis of a spherical shell subjected to external supersonic airflow is carried out. The structural model is based on a combination of the linear spherical shell theory and the classic finite element method (FEM). In this hybrid method, the nodal displacements are found from the exact solution of shell governing equations rather than approximated by polynomial functions. Therefore, the number of elements chosen is a function of the complexity of the structure. Convergence is rapid. It is not necessary to choose a large number of elements to obtain good results. Linearized first-order potential (piston) theory with the curvature correction term is coupled with the structural model to account for pressure loading. The linear mass, stiffness, and damping matrices are found using the hybrid finite element formulation. Aeroelastic equations are numerically derived and solved. The results are validated using the numerical and theoretical data available in literature. The analysis is accomplished for spherical shells with different boundary conditions, geometries, flow parameters, and radius to thickness ratios. the results show that the spherical shell loses its stability through coupled-mode flutter. This proposed hybrid FEM can be used efficiently for the design and analysis of spherical shells employed in high speed aircraft structures.

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Section: Mass and Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of the Flutter of a Spherical Shell

Menaa

Lakis

2013

Journal of Vibration and Acoustics

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“…Since the seminal paper of Ashley and Zartarian [1] (following the work of Lighthill [2]), it has indeed become an effective tool for the aeroelastician as those authors anticipated. Here the far field is considered.…”

Section: Introductionmentioning

confidence: 99%

Far Field Predicted by Piston Theory

Dowell

2016

AIAA Journal

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“…Piston theory, introduced by Ashley and Zartarian [3], is a powerful tool for aeroelasticity modeling. In this study the fluid-structure effect due to external pressure loading can be taken into account using linearized firstorder potential theory.…”

Section: Aerodynamic Modelingmentioning

confidence: 99%

“…Dowell gives an exhaustive study of the aeroelasticity of shells and plates in his book [2]. After introducing the application of piston theory in the aeroelastic modeling presented by Ashley and Zatarian [3], a number of interesting experimental and theoretical studies were carried out to investigate supersonic flutter of cylindrical shells. In general, all of this research was concerned with the development of an analytical relation to describe the effect of shell and flow parameters on the critical flutter dynamic pressure.…”

mentioning

confidence: 99%

Supersonic Flutter of a Spherical Shell Partially Filled with Fluid

Menaa¹,

Lakis²

2014

AJCM

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In the present study, a hybrid finite element method is applied to investigate the dynamic behavior of a spherical shell partially filled with fluid and subjected to external supersonic airflow. The structural formulation is a combination of linear spherical shell theory and the classic finite element method. In this hybrid method, the nodal displacements are derived from exact solution of spherical shell theory rather than approximated by polynomial functions. Therefore, the number of elements is a function of the complexity of the structure and it is not necessary to take a large number of elements to get rapid convergence. Linearized first-order potential (piston) theory with the curvature correction term is coupled with the structural model to account for aerodynamic loading. It is assumed that the fluid is incompressible and has no free surface effect. Fluid is considered as a velocity potential at each node of the shell element where its motion is expressed in terms of nodal elastic displacements at the fluid-structure interface. Numerical simulation is done and vibration frequencies are obtained. The results are validated using numerical and theoretical data available in literature. The investigation is carried out for spherical shells with different boundary conditions, geometries, filling ratios, flow parameters, and radius to thickness ratios. Results show that the spherical shell loses its stability through coupled-mode flutter. This proposed hybrid finite element method can be used efficiently for analyzing the flutter of spherical shells employed in aerospace structures at less computational cost than other commercial FEM software.

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Piston Theory-A New Aerodynamic Tool for the Aeroelastician

Cited by 516 publications

References 3 publications

Numerical Investigation of the Flutter of a Spherical Shell

Numerical Investigation of the Flutter of a Spherical Shell

Far Field Predicted by Piston Theory

Supersonic Flutter of a Spherical Shell Partially Filled with Fluid

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