Stress-adapted numerical form finding of pre-stressed surfaces by the updated reference strategy

Wüchner, Roland; Bletzinger, K.‐U.

doi:10.1002/nme.1344

Cited by 75 publications

(34 citation statements)

References 17 publications

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“…The structure solver is the finite-element code Carat++ [26,27]. This program was developed especially for the prediction of shell or membrane behavior and is based on advanced solution strategies for form finding and non-linear dynamic problems [28,29,30]. The momentum equation written in a Lagrangian frame of reference is applied to describe the dynamic equilibrium of the structure.…”

Section: Numerical Simulation Methodologymentioning

confidence: 99%

Numerical FSI investigation based on LES: Flow past a cylinder with a flexible splitter plate involving large deformations (FSI-PfS-2a)

Nayer

Breuer

2014

International Journal of Heat and Fluid Flow

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The objective of this paper is to provide a detailed numerical investigation on the fluid-structure interaction (FSI) test case presented in Kalmbach and Breuer (Journal of Fluids and Structures, 42, (2013), pp. 369-387). It relies on detailed experimental investigations on the fluid flow and the structure deformation using modern optical measurement techniques such as particle-image velocimetry and laser triangulation sensors. The present numerical study is based on an efficient partitioned FSI coupling scheme especially developed for turbulent flow simulations around light-weight structures using large-eddy simulation. The current FSI configuration is composed of a fixed cylinder with a flexible thin rubber plate and a rear mass inducing a turbulent flow (Re = 30,470). Mainly based on a movement-induced excitation the flexible structure oscillates in the second swiveling mode involving large deformations. Thus, particular attention has been paid to the computational model and the numerical set-up. Special seven-parameters shell elements are applied to precisely model the flexible structure. Structural tests are carried out to approximate the optimal structural parameters. A fine and smooth fluid mesh has been generated in order to correctly predict the wide range of different flow structures presents near and behind the flexible rubber plate. A phase-averaging is applied to the numerical results obtained, so that they can be compared with the phase-averaged experimental data. Both are found to be in close agreement exhibiting a structure deformation in the second swiveling mode with similar frequencies and amplitudes. Finally, a sensitivity study is carried out to show the influence of different physical parameters (e.g. Young's modulus) and modeling aspects (e.g. subgrid-scale model) on the FSI phenomenon.

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Section: Numerical Simulation Methodologymentioning

confidence: 99%

Numerical FSI investigation based on LES: Flow past a cylinder with a flexible splitter plate involving large deformations (FSI-PfS-2a)

Nayer

Breuer

2014

International Journal of Heat and Fluid Flow

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“…To prevent this mesh degeneration, a local geometrical criterion is used to adjust the incompatible target stress state by a modified compatible stress state while simultaneously minimizing the difference. The adaptive scheme based on the newly derived "element distortion control" is very robust and the obtained generality constitutes as one of the major advantages and guarantees the transfer of the underlying ideas to other fields of application [14,15]. Putting everything together, a stabilized method for the solution of a class of inverse problems is derived and enhanced by an adaptive scheme which guarantees regular meshes with high quality concerning the element shape.…”

Section: Adaptive Urs and Geometric Mesh Controlmentioning

confidence: 99%

Plateau regularization method for structural shape optimization and geometric mesh control

Wüchner

Firl

Linhard

et al. 2008

Proc Appl Math and Mech

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Within this contribution the algorithmic treatment of the inverse problem of finding mechanically motivated membrane shapes is discussed and the key point, that the corresponding numerical methods have a broader spectrum of applications which enables their adoption to similar problems from other disciplines, is highlighted. The presented adaptive scheme is the Updated Reference Strategy (URS) enhanced by a newly derived "element distortion control". The key feature is the ability of the proposed stabilized scheme to overcome the singular problem of finding equilibrium shapes of prestressed membranes which is due to the non-uniqueness of nodal positions in the finite element mesh and the purposeful adjustment of the underlying stress state based on a local geometrical criterion in case of incompatible stress states. Therefore, the derived methodology is -beside the mere computation of equilibrium configurations-able to distribute (probably very local) deformations of the mesh in a smooth way to the whole domain by at the same time conserving specific mesh characteristics which guarantees regular meshes with high quality concerning the element shape. This results in robust computations even for complex and problematic geometrical situations. Due to the effective mesh control of this approach a transfer of the developed methodology to other fields of application like e.g. mesh smoothing, large displacement mesh moving problems and stabilized CAD-free shape optimization of shells is promising and therefore accomplished.

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“…Both cases preserve the principle of uniform and isotropic tensile stress for driving the membrane towards an ideal equilibrium shape that minimizes the surface area under given boundary conditions, as observed in the soap film models Wüchner and Bletzinger, 2005;Pauletti and Pimenta, 2008). The self-coded program for the …”

Section: Examplesmentioning

confidence: 99%

“…Apart from its demand for extensive matrix manipulations, possible singularity of stiffness matrix and divergence may be encountered when the trial geometry is far from the equilibrium position. However, with some special treatments and modifications (Wüchner and Bletzinger, 2005), it still can be used to solve this problem effectively. As an alternative for finding feasible equilibrium shapes, the geometric stiffness methods can simplify the nonlinear analysis.…”

Section: Introductionmentioning

confidence: 99%

An efficient numerical shape analysis for light weight membrane structures

Yang

Shen

Luo

2014

J. Zheijang Univ.-Sci.

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Abstract:The determination of initial equilibrium shapes is a common problem in research work and engineering applications related to membrane structures. Using a general structural analysis framework of the finite particle method (FPM), this paper presents the first application of the FPM and a recently-developed membrane model to the shape analysis of light weight membranes. The FPM is rooted in vector mechanics and physical viewpoints. It discretizes the analyzed domain into a group of particles linked by elements, and the motion of the free particles is directly described by Newton's second law while the constrained ones follow the prescribed paths. An efficient physical modeling procedure of handling geometric nonlinearity has been developed to evaluate the particle interaction forces. To achieve the equilibrium shape as fast as possible, an integral-form, explicit time integration scheme has been proposed for solving the equation of motion. The equilibrium shape can be obtained naturally without nonlinear iterative correction and global stiffness matrix integration. Two classical curved surfaces of tension membranes produced under the uniform-stress condition are presented to verify the accuracy and efficiency of the proposed method.

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Stress-adapted numerical form finding of pre-stressed surfaces by the updated reference strategy

Cited by 75 publications

References 17 publications

Numerical FSI investigation based on LES: Flow past a cylinder with a flexible splitter plate involving large deformations (FSI-PfS-2a)

Numerical FSI investigation based on LES: Flow past a cylinder with a flexible splitter plate involving large deformations (FSI-PfS-2a)

Plateau regularization method for structural shape optimization and geometric mesh control

An efficient numerical shape analysis for light weight membrane structures

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