Numerical response using finite strip element including drilling degree of freedom

Akbari, J.; Valaei, H.; Sepahvand, M. F.

doi:10.22061/jcarme.2022.6916.1894

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	Numerical response using finite strip element including drilling degree of freedom
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 4، دوره 12، شماره 2 - شماره پیاپی 24، فروردین 2023، صفحه 177-191 اصل مقاله (1.13 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2022.6916.1894
نویسندگان
J. Akbari^* ¹؛ H. Valaei¹؛ M. F. Sepahvand²
¹Department of Civil Engineering, Bu-Ali Sina University, Hamedan, Iran
²Department of Civil Engineering, Faculty of Engineering, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran
تاریخ دریافت: 02 خرداد 1399، تاریخ بازنگری: 01 خرداد 1401، تاریخ پذیرش: 02 خرداد 1401
چکیده
Finite-element modeling of structures using elements without rotational degrees of freedom (DOFs) is usually stiffer than their physical behavior. Therefore, the stiffness of a structural system will be smoothed by adding rotational DOFs in the numerical model. In the traditional displacement-based finite-element method, adding drilling rotations is not easy. The main contribution of this paper is performing dynamic analyses using the finite strip element with added drilling rotations to the elements. For this purpose, any quadrilateral area is divided into two independent sets of orthogonal strips comprising truss and Bernoulli-Euler beam elements. Then, by using new shape functions, mass, damping, stiffness matrices, and equivalent nodal forces are derived. Finally, time history analysis for plane stress or strain type problems for direct earthquake records is performed using the developed formulations. The numerical studies show that the results of the finite strip element method using coarse meshes are competitive with the results of the finite-element method using fine meshes. This advantage is valuable in time-consuming computational problems, e.g., dynamic or nonlinear analyses.
کلیدواژه‌ها
Finite strip element؛ Finite element method؛ Rotational DOF؛ Drilling؛ Numerical response

مراجع
[1] R.H.Wang, "A rectangular plate bending element based upon finite strip in length and breadth", J. Eng. Mech., Vol.17, No.1, pp.114-119, (2000). [2] M.H.Huang & D.P.Thambiratnam, "Analysis of plate resting on elastic supports and elastic foundation by finite strip method '', Comput Struct, Vol.79, No.30,pp. 2547-2557, (2001). [3] G.R.Liu," A combined finite element/strip element method for analyzing elastic wave scattering by cracks and inclusions in laminates", Comput. Mech., Vol.28, No.1,pp. 76-82, (2002). [4] H.M.Liu, P.Yan,C. Yu‐Peng & W.Ying‐Rui, "Strip element method for shape discrimination of strip rolling", Commun. Numer. Methods Eng., Vol.20, No.9, (2004). [5] G.Xia, M.Yu, C.Li & J.Zhang, "Rectangular Membrane Element with Rotational Degree of Freedom", J. Comput. Struct. Eng., Vol.23, No.2, pp. 1051-1058, (2009). [6] F.Rojas, J.C.Anderson & L.M.Massone, "A nonlinear quadrilateral layered membrane element with drilling degrees of freedom for the modeling of reinforced concrete walls", Eng. Struct., Vol.12, No.4, pp.521-538, (2016). [7] F.Wang, J.Zhang & L.Jiang, "Analysis of Single Cell Curved Box Girder Bases on Finite Strip Element Theory", In 2017 5th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering, ICMMCCE, (2017) [8] B.W.Schafer, "Elastic buckling analysis of thin-walled members using the classical finite strip method", CUFSM Version, 2, (2003). [9] B.W.Schafer &S.Adany, "Buckling analysis of cold-formed steel members using CUFSM: conventional and constrained finite strip methods", In Eighteenth international specialty conference on cold-formed steel structures pp. 39-54, (2006). [10] G. Eccher, K.J.R.Rasmussen & R.Zandonini, " Linear elastic isoperimetric spline finite strip analysis of perforated thin-walled structures", Thin-Walled Struct., Vol.46, No.3, pp. 242-260 (2008). [11] S.A.M.Ghannadpour, H.R.Ovesy & M.Nassirnia, "Buckling analysis of functionally graded plates under thermal loadings using the finite strip method", Comput Struct, Vol. 108, No.1, pp. 93-99, (2012). [12] L.K.Yao, B.He, Y.Zhang & W.Zhou, "Semi-analytical finite strip transfer matrix method for buckling analysis of rectangular thin plates", Math. Probl. Eng. Vol.23, No.1, pp.230-241,(2015). [13] Q.Chen & P.Qiao, "Buckling analysis of laminated plate structures with elastic edges using a novel semi-analytical finite strip method", Compos. Struct., Vol.152, No.1, pp. 85-95, (2016). [14] B.He, Y.Zhang, W.Y. Ge, Y.An & D.Liu, "Buckling analysis of thin-walled members with open-branched cross-section via semi-analytical finite strip transfer matrix method", Thin-Walled Struct., Vol.124, No.1, pp. 20-31, (2018). [15] Z.Li & B.W.Schafer, "Application of the finite strip method in cold-formed steel member design", J. Constr. Steel Res., Vol. 66, No. 8, pp. 971-980 (2010). [16] L.Zhen, P.Qiao, J.Zhong, Q.Chen, J.J. Chen & J.H.Wang, "Design of steel pipe-jacking based on buckling analysis by finite strip method", Eng. Struct, Vol.132, No.1, pp. 139-151, (2017). [17] S.S.Ajeesh & S.A.Jayachandran, "A constrained spline finite strip method for the mode decomposition of cold-formed steel sections using GBT principles", Thin-Walled Struct., Vol.113, No.1, pp. 83-93, (2017). [18] Q.Chen & P.Qiao, "Post-buckling analysis of composite plates under combined compression and shear loading using the finite strip method", Finite Elem. Anal. Des., Vol.83, No.1, pp. 33-42, (2014). [19] S.Wang & Y.Zhang, "Vibration analysis of rectangular composite laminated plates using a layerwise B-spline finite strip method", Compos. Struct., Vol. 68, No.3, pp. 349-358 (2005). [20] R.J.Jiang & F.T.K.Au, "A general finite strip for the static and dynamic analyses of folded plates", Thin-Walled Struct., Vol.49, No.10, pp. 1288-1294, (2011). [21] J.Poblet-Puig & A.Rodriguez-Ferran, "The finite strip method for acoustic and vibroacoustic problems", J. Comput. Acoust, Vol.19, No. 4, pp. 353-378, (2011). [22] I.Senjanović, I.Áatipović, N.Alujević, D.Čakmak & N.Vladimir, "A finite strip for the vibration analysis of rotating toroidal shell under internal pressure", J. Vib. Acoust., Vol. 141, No.2, (2019). [23] MATLAB, The MathWorks, Inc., Natick, (2018). [24] R.D.Cook, "Concepts and applications of finite element analysis", John Wiley & sons (2007). [25] V.Shánel, R.Kolman & J.Plešek, "Mass Lumping methods for the Semi-Loof Shell Elements", J. Eng. Mech., Vol. 122, No.1, (2012). [26] A.K.Chopra, "Dynamics of Structures Theory and Applications to Earthquake Engineering", 4^th. Prentice-Hall: Englewood Cliffs, NJ, (2012). [27] A.S.Elnashai & L.Di Sarno," Fundamentals of earthquake engineering ", New York: Wiley, (2008). [28] P.Paultre, "Dynamics of structures", John Wiley & Sons (2013). [29] ABAQUS, "Standard user's manual", Hibbitt, Karlsson and Sorenson, Inc, (2014). [30] PEER Strong Motion Database. Pacific Earthquake Engineering Research Center University of California, Berkeley. Available Online at http://peer.berkeley.edu, (2015).
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Numerical response using finite strip element including drilling degree of freedom