A new energy and momentum conserving algorithm for the non-linear dynamics of shells
Author: J. C. Simo, N. Tarnow | Size: 1.27 MB | Format:PDF | Quality:Unspecified | Publisher: Wiley | Year: 1994 | pages: 23
A numerical time-integration scheme for the dynamics of non-linear elastic shells is presented that simultaneously and independent of the time-step size inherits exactly the conservation laws of total linear, total angular momentum as well as total energy. The proposed technique generalizes to non-linear shells recent work of the authors on non-linear elastodynamics and is ideally suited for long-term/large-scale simulations. The algorithm is second-order accurate and can be immediately extended with no modification to a fourth-order accurate scheme. The property of exact energy conservation induces a strong notion of non-linear numerical stability which manifests itself in actual simulations. The superior performance of the proposed scheme method relative to conventional time-integrators is demonstrated in numerical simulations exhibiting large strains coupled with a large overall rigid motion. These numerical experiments show that symplectic schemes often regarded as unconditionally stable, such as the mid-point rule, can exhibit a dramatic blow-up in finite time while the present method remains perfectly stable.
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In this paper, a formulation for the dynamic stability analysis of functionally graded shells under harmonic axial loading is presented. A profile for the volume fraction is assumed and a normal-mode expansion of the equations of motion yields a system of Mathieu–Hill equations the stability of which is analyzed by the Bolotin’s method. The present study examines the effects of the volume fraction of the material constituents and their distribution on the parametric response, in particular the positions and sizes of the instability regions.
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Article/eBook Full Name: Physical Modelling in Geotechnics: Proceedings of the Sixth International Conference on Physical Modelling in Geotechnics
Author(s): C.W.W. Ng, Y.H. Wang, L.M. Zhang
Edition: 1
Publish Date: 2010
ISBN: 0415415861
Published By: Taylor & Francis
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Article/eBook Full Name: Physical Modelling in Geotechnics
Author(s): P. Guo , R. Phillips , R. Popescu
Edition: 1
Publish Date: 2010
ISBN: 9058093891
Published By: Taylor & Francis
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Article/eBook Full Name: Physical Modelling in Geotechnics: Proceedings of the 7th International Conference on Physical Modelling in Geotechnics
Author(s): Sarah Springman, Jan Laue and Linda Seward
Edition: 1
Publish Date: 2010
ISBN: 0415592887
Published By: CRC Press
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Autodesk Product Design Suite Ultimate 2014 WIN32 ISO
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Autodesk® Product Design Suite is a comprehensive solution delivering 3D design, simulation, collaboration, and visualization tools to complete your entire engineering process. The Digital Prototyping capabilities of the suite can help you design better products, reduce development costs, and get to market faster.
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AUTODESK PRODUCT DESIGN SUITE ULTIMATE V2014 WIN64-ISO
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Autodesk® Product Design Suite is a comprehensive solution delivering 3D design, simulation, collaboration, and visualization tools to complete your entire engineering process. The Digital Prototyping capabilities of the suite can help you design better products, reduce development costs, and get to market faster.
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