Dynamic Nonlinear Analysis of Semi-Rigid Steel Frames Based on the Finite Particle Method

Abstract:

The Finite Particle Method (FPM), based on the Vector Mechanics, is a new structural analysis method. This paper explores the possibility of the proposed method being applied in the dynamic nonlinear analysis of semi-rigid steel frames. Taking the two dimensional beam element as an example, the formulations of the FPM to calculate the dynamic and geometric nonlinear problems are derived. Spring model with zero-length is adopted to simulate the relationship between internal forces and deformations of the semi-rigid steel connections. The nonlinear strengthen spring model is used to analyze the nonlinear behavior of the semi-rigid connection. Explicit time integrations are used to solve equilibrium equations. Comparing to traditional Finite Element Method, iterations and special modifications are not needed during the dynamic nonlinear analysis, which is more advantageous in structural complex behavior analysis. Two numerical examples are presented to analyze the behaviors of rigid and semi-rigid steel frames, and behaviors of linear and nonlinear semi-rigid connections, which demonstrate the accuracy and applicability of this method in dynamic nonlinear analysis.

• Periodical: Applied Mechanics and Materials (Volumes 744-746)
• Pages: 71-77
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.744-746.71
• Online since: March 2015
• Authors: Ying Yu*, Lin Jin, Ping Xia
• Keywords: Dynamic Nonlinear Analysis, Finite Particle Method (FPM), Nonlinear Spring Model, Semi-Rigid Steel Frame

References

[1] Liew JYR, Yu CH, Ng YH, Shanmugam NE. Testing of semi-rigid unbraced frames for calibration of second-order inelastic analysis. J Constr Steel Res, 1997, Vol. 41: 159–95.

DOI: 10.1016/s0143-974x(97)00009-6

[2] Xu L. The buckling loads of unbraced PR frames under non-proportional loading. J Constr Steel Res, 2002, Vol. 58: 443–65.

DOI: 10.1016/s0143-974x(01)00065-7

[3] Lui EM, Chen WF. Analysis and behavior of flexibly-jointed frames. Eng Struct, 1986, Vol. 8: 107–18.

[4] Ting E.C., Shih C., Wang Y.K. Fundamentals of a vector form intrinsic finite element: Part I. Basic procedure and a plane frame element. Journal of Mechanics, 2004, Vol. 20(2): 113-122.

DOI: 10.1017/s1727719100003336

[5] Ying Yu, Xiaohua Zhao, Yaozhi Luo. Multi-snap-through and dynamic fracture based on Finite Particle Method. Journal of Constructional Steel Research 82 (2013) 142–152.

DOI: 10.1016/j.jcsr.2012.12.019

[6] Ying Yu, Yaozhi Luo. Motion analysis of deployable structures based on the rod hinge element by the finite particle method. Proc. IMechE Part G: J. Aerospace Engineering. 2009, 223(7): 955-964.

DOI: 10.1243/09544100jaero498

[7] Ying Yu, G. H. Paulino, and Y. Luo. Finite particle method for progressive failure simulation of truss structures, Journal of Structural Engineering ASCE, 2011, 137(10): 1168-1181.

DOI: 10.1061/(asce)st.1943-541x.0000321

[8] Phu-Cuong Nguyen, Seung-Eock Kim. Nonlinear elastic dynamic analysis of space steel frames with semi-rigid connections. Journal of Constructional Steel Research, 2013, Vol. 84: 72–81.

DOI: 10.1016/j.jcsr.2013.02.004

[9] Richard RM, Abbott BJ. Versatile elastic-plastic stress–strain formula. J Eng Mech. Div ASCE, 1975, Vol. 101: 511–5.

DOI: 10.1061/jmcea3.0002047