DQEM for large deformation analysis of structures with discontinuity conditions and initial displacements

Duan, Ke; Yuanlin, Zhu; Chang-jun, Cheng

doi:10.1016/j.engstruct.2007.10.007

Cited by 20 publications

(11 citation statements)

References 19 publications

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“…Furthermore, it is also applicable to frameworks subject to complicated loadings. It was reported that the strong form QEM has been applied to large deformation analysis of frameworks under either static or dynamic loads [8,9]. The extension of the present weak form quadrature element technique to large deformation analysis of planar frameworks is underway and will be reported in an upcoming paper.…”

Section: Remarks and Conclusionmentioning

confidence: 96%

“…The strong form QEM [5] which also appeared in the name of the differential QEM [6,7] has been applied to planar frame analysis. Recently, the strong form quadrature elements have been used to deal with large deformation of planar frameworks under static or dynamic loads [8,9]. In the strong form quadrature element analysis of frames, derivatives in the governing differential equations are approximated using differential quadrature analog and all continuity conditions at framework joints are enforced.…”

Section: Introductionmentioning

confidence: 99%

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Quadrature element analysis of planar frameworks

Zhong

Gao

2009

Arch Appl Mech

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Section: Remarks and Conclusionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Quadrature element analysis of planar frameworks

Zhong

Gao

2009

Arch Appl Mech

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“…Banerjee et al [17] employed the shooting method along with the adomian decomposition to study a linear elastic cantilever beam under arbitrary loading conditions and containing an interior inflection point. The influence of discontinuity conditions and initial displacements on responses of frames undergoing large displacement and rotation was studied by Hu et al [18]. In their analysis, a technique called the differential quadrature element method (DQEM) was utilized to construct numerical solutions.…”

Section: Introductionmentioning

confidence: 99%

Adaptive, Small-Rotation-Based, Corotational Technique for Analysis of 2D Nonlinear Elastic Frames

Rungamornrat

Sihanartkatakul

Kanchanakitcharoen

2014

Mathematical Problems in Engineering

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This paper presents an efficient and accurate numerical technique for analysis of two-dimensional frames accounted for both geometric nonlinearity and nonlinear elastic material behavior. An adaptive remeshing scheme is utilized to optimally discretize a structure into a set of elements where the total displacement can be decomposed into the rigid body movement and one possessing small rotations. This, therefore, allows the force-deformation relationship for the latter part to be established based on small-rotation-based kinematics. Nonlinear elastic material model is integrated into such relation via the prescribed nonlinear moment-curvature relationship. The global force-displacement relation for each element can be derived subsequently using corotational formulations. A final system of nonlinear algebraic equations along with its associated gradient matrix for the whole structure is obtained by a standard assembly procedure and then solved numerically by Newton-Raphson algorithm. A selected set of results is then reported to demonstrate and discuss the computational performance including the accuracy and convergence of the proposed technique.

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“…Free optical vibration of generally laminated beams has been of increasing interest in the last decades' literature [1][2][3][4][5][6][7][8][9][10][11][12]. Vo et al [1] investigated free vibration of axially loaded thin-walled composite beams with arbitrary lay-ups.…”

Section: Introductionmentioning

confidence: 99%

Comparative Analysis of Free Optical Vibration of Lamination Composite Optical Beams Using the Boubaker Polynomials Expansion Scheme and the Differential Quadrature Method

et al. 2012

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The effects of stacking sequences of composite laminated optical beams on free vibration frequencies are investigated using two methods: the Boubaker Polynomials Expansion Scheme (pbes) and the Differential Quadrature Method (dqm). In the last decades, these two techniques have been separately performed for obtaining accurate numerical solutions to several initial boundary value problems (Vo et al. 2010, Li et al. 2008, Chen 2003, Hu et al. 2008, Karami et al. 2003, Malekzadeh et al. 2004, Khare et al. 2004, Della and Shu 2005, Ramtekkar et al. 2002, Adam 2003). Conjointly yielded results are compared and discussed.

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DQEM for large deformation analysis of structures with discontinuity conditions and initial displacements

Cited by 20 publications

References 19 publications

Quadrature element analysis of planar frameworks

Quadrature element analysis of planar frameworks

Adaptive, Small-Rotation-Based, Corotational Technique for Analysis of 2D Nonlinear Elastic Frames

Comparative Analysis of Free Optical Vibration of Lamination Composite Optical Beams Using the Boubaker Polynomials Expansion Scheme and the Differential Quadrature Method

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