Free vibration analysis and shape optimization of variable thickness plates and shells—II. Sensitivity analysis and shape optimization

Afonso, Silvana Maria Bastos; Hinton, E.

doi:10.1016/0956-0521(95)00012-o

Cited by 22 publications

(13 citation statements)

References 13 publications

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“…The following geometric dimensions are considered: width of plate a = 1 m, b = 1.2 m, thickness t = 0.025 m. As the case shown in the Ref. [28,29], the uniform thickness t is also taken as the design variable in this numerical example. The perturbation value is 10 À5 Â k for the SA and FD methods.…”

Section: Eigenvalues Sensitivity Analysismentioning

confidence: 99%

“…For comparison purpose, a rectangular simply supported plate which was employed to evaluate the sensitivity coefficients of the fundamental frequency due to thickness variation in Ref. [28,29] is now considered. The material properties for this case are: elastic modulus E = 200 GPa, Poisson's ratio m = 0.3 and mass density q = 7800 kg/m 3 .…”

Section: Eigenvalues Sensitivity Analysismentioning

confidence: 99%

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Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection

Li¹,

Xu²,

Qing³

2011

Composites Part B: Engineering

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Section: Eigenvalues Sensitivity Analysismentioning

confidence: 99%

Section: Eigenvalues Sensitivity Analysismentioning

confidence: 99%

Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection

Li¹,

Xu²,

Qing³

2011

Composites Part B: Engineering

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“…From the viewpoint of mechanics, Afonso and Hinton maximized the natural frequencies of curved shells where both coordinates of key points and shell thickness were simultaneously adopted as design variables. Besides, Lindby and Santos defined the shape parameters based on the generic CAD system.…”

Section: Introductionmentioning

confidence: 99%

“…Especially, Hormann and Greiner [12] discussed how to use regular quadrilateral meshes to remesh a given surface. Soni and Yang [13] developed grid redistribution and remapping algorithms for a NURBS-based surface and studied the meshing issues both in the parameter plane and on the 3D surface.From the viewpoint of mechanics, Afonso and Hinton [14] maximized the natural frequencies of curved shells where both coordinates of key points and shell thickness were simultaneously adopted as design variables. Besides, Lindby and Santos [15] defined the shape parameters based on the generic CAD system.…”

mentioning

confidence: 99%

A bispace parameterization method for shape optimization of thin‐walled curved shell structures with openings

Wang

Zhang

2012

Numerical Meth Engineering

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SUMMARY Simultaneous shape optimization of thin‐walled curved shell structures and involved hole boundaries is studied in this paper. A novel bispace parameterization method is proposed for the first time to define global and local shape design variables both in the Cartesian coordinate system and the intrinsic coordinate system. This method has the advantage of achieving a simultaneous optimization of the global shape of the shell surface and the local shape of the openings attached automatically on the former. Inherent problems, for example, the effective parameterization of shape design variables, mapping operation between two spaces, and sensitivity analysis with respect to both kinds of design variables are highlighted. A design procedure is given to show how both kinds of design variables are managed together and how the whole design flowchart is carried out with relevant formulations. Numerical examples are presented and the effects of both kinds of design variables upon the optimal solutions are discussed. Copyright © 2012 John Wiley & Sons, Ltd.

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“…Analytical methods for computing the design sensitivities, by differentiating the governing finite element equations, have been successfully applied in other areas. Significant contributions have been made in the areas of sensitivity analysis for nonlinear structural mechanics, [11,12,13] vibration control, [14,15] and geometrically nonlinear systems. [16] Additionally, sensitivity methods have been formulated for linear [17,18,19] and nonlinear [20,21] thermal systems.…”

mentioning

confidence: 99%

Fluid flow in casting rigging systems: Modeling, validation, and optimal design

McDavid

Dantzig

1998

Metall Mater Trans B

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In this work, a methodology for the optimal design of flow in foundry casting rigging systems is discussed. The methodology is based on a novel, fully analytical design sensitivity formulation for transient, turbulent, free-surface flows. The filling stage of the casting process is modeled by solving the time-averaged form of the Navier-Stokes equations via a turbulent mixing-length model, in conjunction with the volume-of-fluid (VOF) method for modeling the free surface. The design of the runner and gating system of a simple block casting is presented as an example application for using sensitivity information in design. The analytical sensitivity routine is coupled to a numerical optimizer to yield an automated method for optimal design of the casting rigging system. The finite element model of the filling process is verified through physical experimentation. Solutions of glycerol and water are used to perform laminar and turbulent flow filling experiments, which are used to verify independently the VOF algorithm and the adequacy of the mixing-length model. The results show that the numerical model accurately reproduces the main features of the flow, and filling times agree with acceptable accuracy. Finally, the analytical techniques are used to obtain an optimal runner shape, which eliminates air entrainment, and the design is verified experimentally.

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Free vibration analysis and shape optimization of variable thickness plates and shells—II. Sensitivity analysis and shape optimization

Cited by 22 publications

References 13 publications

Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection

Free vibration analysis and eigenvalues sensitivity analysis for the composite laminates with interfacial imperfection

A bispace parameterization method for shape optimization of thin‐walled curved shell structures with openings

Fluid flow in casting rigging systems: Modeling, validation, and optimal design

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