Dynamic Nonlinear Modelling of Building Structure Using the Force Analogy Method

The nonlinear analysis of civil engineering structures is still a topic of sigh significance for structural engineers. The use of an explicit time integration method is investigated in this paper. The time integration scheme is derived from the state-space model of the equation of motion. The Force Analogy Method (FAM) is used to account for physical nonlinearity of a 10-story reinforced concrete (RC) frame structure. Two earthquake recorded ground motions are used in this paper in the attempt to catch the accuracy of the investigated numerical scheme. The results are compared and validated with well established commercial software. The model described in this paper will ease and simplify the overall process of testing the structural behavior to a wide range of recorded and artificial ground motions.

[1]  Rahmi Guclu,et al.  Sliding mode and PID control of a structural system against earthquake , 2006, Math. Comput. Model..

[2]  Grigore Stamatescu,et al.  Building Cyber-Physical Energy Systems , 2016, ArXiv.

[3]  Vasile Calofir,et al.  A State Space Formulation for the Evaluation of the Pounding Forces During Earthquake , 2018, Mathematical Modelling in Civil Engineering.

[4]  K. K. F. Wong,et al.  Evaluation of Computational Tools for Performing Nonlinear Seismic Analyses of Structural Collapse , 2013 .

[5]  Gang Li,et al.  Displacement estimation of nonlinear structures using the force analogy method , 2015 .

[6]  N. M. M. RAMOS,et al.  Modelling and solving building physics problems using MATLAB/Simulink , 2005 .

[7]  Gang Li,et al.  Nonlinear hysteretic behavior simulation of reinforced concrete shear walls using the force analogy method , 2015 .

[8]  Li Ying-min.  Simulation of structural nonlinear seismic responses based on SIMULINK , 2003 .

[9]  Mohd Shahir Liew,et al.  The Effect of Element Types on Force Analogy Method Analysis , 2017 .

[10]  Gang Li,et al.  Theory of Nonlinear Structural Analysis: The Force Analogy Method for Earthquake Engineering , 2014 .

[11]  Gary C. Hart,et al.  Structural dynamics for structural engineers , 1999 .

[12]  Kevin K. F. Wong,et al.  Predictive instantaneous optimal control of inelastic structures during earthquakes , 2003 .

[13]  Kevin K. F. Wong,et al.  Uncoupling of Potential Energy in Nonlinear Seismic Analysis of Framed Structures , 2007 .

[14]  Arash Bahar,et al.  A force analogy method (FAM) assessment on different static condensation procedures for frames with full Rayleigh damping , 2018 .

[15]  Kevin K. F. Wong.  Predictive Optimal Linear Control of Inelastic Structures during Earthquake. Part II , 2005 .

[16]  Shayan Safaei,et al.  A study on the accuracy of force analogy method in nonlinear static analysis , 2019, The Structural Design of Tall and Special Buildings.

[17]  Gang Li,et al.  Nonlinear Seismic Analysis of Reinforced Concrete Bridges Using the Force Analogy Method , 2015 .