Analytical Approach for Prediction of Load-Deformation Behaviour of Beam-Column Structure with Dual Nonlinearities
The service load of the existing beam-column structure is mainly the partial load generated by axial force and the service load perpendicular to the axis of the beam-column structure.At present,two methods are mainly used to analyze the stability of slender structures caused by coupled flexural loads,that is,eigenvalue method and load-deflection method.Due to the geometric defects and material stiffness degradation of the actual bridge members,the bearing capacity will be overestimated by using the eigenvalue method which ignores the nonlinearity.Based on the Ritz method and combined with the energy balance condition,this paper established the second type of stability analytical analysis model of the simple supported beam-column structure with geometric and material nonlinearity under the coupling of biased load and multiple vertical actions.The finite element analysis models of concrete columns with different initial defects are established.By comparing the analytical model results with the finite element results,it is found that the above two model are in good agreement,and the established analytical model can accurately consider the double nonlinear second-order effect.
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