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Computational Mechanics
Erschienen in: Computational Mechanics 1/2019

11.06.2018 | Original Paper

A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures

verfasst von: Y. X. Peng, A. M. Zhang, S. F. Li, F. R Ming

Erschienen in: Computational Mechanics | Ausgabe 1/2019

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Abstract

A beam formulation based on reproducing kernel particle method (RKPM) for the dynamic analysis of stiffened shell structures is presented in this paper. The kinematic description of a beam is obtained based on the Timoshenko beam theory. By using the principle of virtual power, the governing equations of a three-dimensional beam are derived. To obtain the numerical model of stiffened shell structures, two schemes are adopted: one is model stiffeners by the RKPM beam formulation, the other one is model the entire stiffened shell by the RKPM shell formulation. In the first scheme, the coupling model of RKPM shell and beam formulation is obtained by adding the corresponding quantities in their governing equations. In the second scheme, by determining the support domain of a stress point according to which component the stress point is located, the full shell simulation is achieved. The reliability and accuracy of those two schemes are verified by several numerical examples.
Vorheriger Artikel A mortar formulation including viscoelastic layers for vibration analysis
Nächster Artikel Identification of viscoelastic properties from numerical model reduction of pressure diffusion in fluid-saturated porous rock with fractures

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Literatur
1.
Cho S-R, Lee H-S (2009) Experimental and analytical investigations on the response of stiffened plates subjected to lateral collisions. Mar Struct 22(1):84–95CrossRef
2.
Li S, Liu WK (2007) Meshfree particle methods. Springer, BerlinMATH
3.
Marrone S, Antuono M, Colagrossi A, Colicchio G, Le Touzé D, Graziani G (2011) \(\delta \)-sph model for simulating violent impact flows. Comput Methods Appl Mech Eng 200(13):1526–1542MathSciNetCrossRefMATH
4.
Marrone S, Colagrossi A, Antuono M, Colicchio G, Graziani G (2013) An accurate sph modeling of viscous flows around bodies at low and moderate reynolds numbers. J Comput Phys 245:456–475MathSciNetCrossRefMATH
5.
Liu WK, Jun S, Li S, Adee J, Belytschko T (1995) Reproducing kernel particle methods for structural dynamics. Int J Numer Methods Eng 38(10):1655–1679MathSciNetCrossRefMATH
6.
Li S, Hao W, Liu WK (2000) Numerical simulations of large deformation of thin shell structures using meshfree methods. Comput Mech 25(2):102–116CrossRefMATH
7.
Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int J Numer Methods Eng 61(13):2316–2343CrossRefMATH
8.
Rabczuk T, Gracie R, Song J-H, Belytschko T (2010) Immersed particle method for fluid-structure interaction. Int J Numer Methods Eng 81(1):48–71MathSciNetMATH
9.
Zhang LT, Wagner GJ, Liu WK (2003) Modelling and simulation of fluid structure interaction by meshfree and fem. Int J Numer Methods Biomed Eng 19(8):615–621MATH
10.
Potapov S, Maurel B, Combescure A, Fabis J (2009) Modeling accidental-type fluid-structure interaction problems with the SPH method. Comput Struct 87(11):721–734CrossRef
11.
Zhang Z, Wang L, Silberschmidt VV (2017) Damage response of steel plate to underwater explosion: effect of shaped charge liner. Int J Impact Eng 103:38–49CrossRef
12.
Krysl P, Belytschko T (1996) Analysis of thin shells by the element-free galerkin method. Int J Solids Struct 33(20–22):3057–3080CrossRefMATH
13.
Ren B, Li S (2012) Modeling and simulation of large-scale ductile fracture in plates and shells. Int J Solids Struct 49(18):2373–2393CrossRef
14.
Maurel B, Combescure A (2008) An sph shell formulation for plasticity and fracture analysis in explicit dynamics. Int J Numer Methods Eng 76(7):949–971MathSciNetCrossRefMATH
15.
Donning BM, Liu WK (1998) Meshless methods for shear-deformable beams and plates. Comput Methods Appl Mech Eng 152(1–2):47–71CrossRefMATH
16.
Atluri S, Cho J, Kim H-G (1999) Analysis of thin beams, using the meshless local Petrov–Galerkin method, with generalized moving least squares interpolations. Comput Mech 24(5):334–347CrossRefMATH
17.
Wang D, Chen J-S (2006) A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration. Comput Mech 39(1):83–90CrossRefMATH
18.
Simo JC (1985) A finite strain beam formulation. the three-dimensional dynamic problem. Part I. Comput Methods Appl Mech Eng 49(1):55–70CrossRefMATH
19.
20.
Chen J-S, Pan C (1996) A pressure projection method for nearly incompressible rubber hyperelasticity, part I: theory. J Appl Mech 63(4):862–868CrossRefMATH
21.
Guan P, Chi S, Chen J, Slawson T, Roth M (2011) Semi-lagrangian reproducing kernel particle method for fragment-impact problems. Int J Impact Eng 38(12):1033–1047CrossRef
22.
Belytschko T, Liu WK, Moran B, Elkhodary K (2013) Nonlinear finite elements for continua and structures. Wiley, New YorkMATH
23.
Günther FC, Liu WK (1998) Implementation of boundary conditions for meshless methods. Comput Methods Appl Mech Eng 163(1–4):205–230MathSciNetCrossRefMATH
24.
Betsch P, Menzel A, Stein E (1998) On the parametrization of finite rotations in computational mechanics: a classification of concepts with application to smooth shells. Comput Methods Appl Mech Eng 155(3–4):273–305MathSciNetCrossRefMATH
25.
26.
Chen J-S, Pan C, Wu C-T, Liu WK (1996) Reproducing kernel particle methods for large deformation analysis of non-linear structures. Comput Methods Appl Mech Eng 139(1–4):195–227MathSciNetCrossRefMATH
27.
Bathe K-J, Ramm E, Wilson EL (1975) Finite element formulations for large deformation dynamic analysis. Int J Numer Methods Eng 9(2):353–386CrossRefMATH
28.
Hughes TJ (2012) The finite element method: linear static and dynamic finite element analysis. Courier Corporation, New York
29.
Holden J (1972) On the finite deflections of thin beams. Int J Solids Struct 8(8):1051–1055CrossRefMATH
30.
Liu WK, Belytschko T, Chen J-S (1988) Nonlinear versions of flexurally superconvergent elements. Comput Methods Appl Mech Eng 71(3):241–258CrossRefMATH
31.
Simo JC, Vu-Quoc L (1986) A three-dimensional finite-strain rod model. Part II: computational aspects. Comput Methods Appl Mech Eng 58(1):79–116CrossRefMATH
32.
Crisfield MA (1990) A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements. Comput Methods Appl Mech Eng 81(2):131–150CrossRefMATH
33.
Bathe K-J, Bolourchi S (1979) Large displacement analysis of three-dimensional beam structures. Int J Numer Methods Eng 14(7):961–986CrossRefMATH
Metadaten
Titel
A beam formulation based on RKPM for the dynamic analysis of stiffened shell structures
verfasst von
Y. X. Peng
A. M. Zhang
S. F. Li
F. R Ming
Publikationsdatum
11.06.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 1/2019
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1583-8

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