دانلود رایگان مقاله لاتین عنصر تیر به ستون فضایی از سایت الزویر
عنوان فارسی مقاله:
عنصر تیر به ستون فضایی تصفیه شده برای تجزیه و تحلیل مرتبه دوم از ساختار پوسته شبکه
عنوان انگلیسی مقاله:
Refined spatial beam-column element for second-order analysis of lattice shell structure
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
There is additional bending moment in the member of lattice shell structure as it bears axial force as well as lateral force. So second order analysis is necessary, and the mechanical equilibrium equation should be constituted based on the deformed configuration of the member. Meek [1] and Chan [2] derived a geometrical stiffness matrix as the additional item of the stiffness matrix of the first-order Hermite element. This is a commonly used method to take the second order effect into account, but it is not so accurate by this method when one member is modeled by a single element (So and Chan [3]). Kondoh and Atluri [4] proposed a mixed beam element by which one member can be modeled by a single element, but the higher order terms of the displacement interpolation function are omitted. Chan and Zhou [5] proposed the pointwise equilibrating polynomial (PEP) element for nonlinear analysis of structure. It is a complex element model with a number of coeffi- cients in the stiffness matrix compression, and the computational error gets larger in the case that the element carries quite big axial force when this model is used. Oran [6,7] element model is derived based on the deformed configuration of the member, and the element stiffness matrix is expressed by stability integration functions (Livesley and Chandler [8]). Though this model is applicable to the nonlinear analysis, it is not so accurate due to the omission of the shear effect and some coupling terms in the displacement interpolation functions of 3D element. Ekhande [9], Liew [10] and Zheng [11] proposed a refined spatial element model which is expressed by stability integration functions (SIFs) with the consideration of biaxial bending moment coupling effect. This is the analytical solution with a high accuracy. However, the displacement interpolation functions of the compression element are different from those of the tension element, and the calculation is relatively complicated. Chen [12], Goto [13] and Liew [14] used Taylor series to simplify the displacement interpolation functions of the spatial beam-column element, but the calculation result is markedly different in the case that the element carries quite small axial force. Li [15] proposed element stiffness matrix considering the effects of geometric nonlinearity, material nonlinearity and shear deformation. He also studied the influence of shear deformation on the beam element [16] and proposed a systemic analysis and design method of the steel frames [17]. Mohri et al. [18] developed a non-linear model that is performed in large torsion context according to a new kinematics that accounts for large torsion, flexural–torsional coupling and the presence of tapering terms in bending and torsion. Asgarian B et al. [19] investigated a numerical model based on the power series method for the lateral buckling stability of tapered thin-walled beams with arbitrary crosssections and boundary conditions. Dourakopoulos et al. [20] developed a model for beams of arbitrary cross section considering the postbuckling effect and the moderate large displacements, large angles of twist and adopting second order approximations for the deflection– curvature relations. Couturier et al. [21] presented a method for analysis of the properties of general cross-sections with arbitrary geometry and material distribution. By this method the full six by six cross-section stiffness matrix is evaluated from a single element thickness slice represented by 3D solid elements with lengthwise Hermitian interpolation with six independent imposed deformation modes corresponding to extension, torsion, bending and shear. Hogsberg et al. [22] developed an element model for moderately thin-walled cross-sections. By this model the cubic interpolation is used to represent the quadratic shear stress variations along cross-section walls. Liu et al. [23,24] proposed a new and curved beam-column element with arbitrarily-located plastic hinge for second-order inelastic or direct analysis of steel frames. Li et al. [25] proposed a direct analysis method (DAM) for design of high-strength steel members and frames allowing explicit modeling of residual stresses. All the members of lattice shell structure bear the spatial external forces among which the axial force is markedly bigger in amount than the bending moment and shear force. So it is necessary to propose a refined element model for the lattice shell structure that is suitable to develop the computer program.
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کلمات کلیدی:
Refined spatial beam-column element for second-order analysis of ... www.sciencedirect.com/science/article/pii/S2352012416000163 by L Qi - 2016 - Cited by 1 - Related articles Considering the coupling effect of axial force, bending moment and shear force, the displacement interpolation functions of the spatial beam-column element ... [PDF]Refined spatial beam-column element for second-order ... - Structures www.structuresjournal.org/article/S2352-0124(16)00016-3/pdf by L Qi - 2016 - Cited by 1 - Related articles Feb 11, 2016 - Refined spatial beam-column element for second-order analysis of lattice shell structure. Lin Qi a,⁎, Yang Ding b a Airport College & Airport ... Refined Beam Element for Second Order Analysis of Latticed Shells https://www.scientific.net/AMR.1065-1069.1208 by L Qi - 2015 Refined Beam Element for Second Order Analysis of Latticed Shells ... spatial beam-column elements are unified by the method of Maclaurin series expansion, ... Handbook of Structural Engineering, Second Edition https://books.google.com/books?isbn=1420039938 W.F. Chen, E.M. Lui - 2005 - Technology & Engineering The refined plastic-hinge method was developed and refined by simply modifying the ... of steel structures are usually carried out under the assumption that beam-to-column ... The spatial behavior of frames is not considered, and lateral torsional ... In this analysis, stability functions are used to predict second-order effects. Principles of Structural Design - Page 2-5 - Google Books Result https://books.google.com/books?isbn=1420037137 W.F. Chen, E.M. Lui - 2005 - Technology & Engineering The refined plastic-hinge method was developed and refined by simply modifying the ... of steel structures are usually carried out under the assumption that beam-to-column ... The spatial behavior of frames is not considered, and lateral torsional ... In this analysis, stability functions are used to predict second-order effects.
