Research On Hybrid Arrangement Optimization Of Dampers And Buckling Restrained Braces Based On Structural Energy Based Failure Criterion

At present,the optimization design of the energy dissipation structure focuses on the optimal arrangement of the single damping element,and the damper and the buckling restraint brace are common energy consuming components.The damper’s control of structural deformation is obviously weaker than the buckling restraint brace,but its damping effect is stronger than the buckling restraint brace.At the same time,the speed damper has zero damping force when the structural deformation is maximum,and does not exert additional force on the structure.If the two can be mixed and arranged in the structure,the performance of the two can complement each other,which can significantly improve the seismic performance of the structure and save the cost.Hybrid arrangement has been widely used in practical engineering projects,but there are few researches on related optimization algorithms.This paper studies the hybrid arrangement of dampers and buckling restraint braces in the structure.The main research contents and results are as follows:Firstly,in order to simplify the objective function,the analytical solution of the structural motion equation is improved based on the Laplace transform.The improved solution expands the applicable range of the analytical solution,reduces the computational complexity,and realizes the resolution of the general solution and the special solution.Then,the general solution and the special solution under the simple harmonic load and the seismic load fitted by the cubic spline curve is deduced,and the method of determining the unknown coefficient in the total solution and the simplified solution method of the generalized eigenvalue problem are explained.Two structural dynamic response solving problems are selected to verify its correctness.By using the improved analytical solution under the seismic load in the text,the analytical time history calculation of the structure can be realized by iterative operation,which saves the calculation cost.Secondly,according to the energy-based structural failure criterion,the idea of optimizing the hybrid arrangement of dampers and buckling restrained braces is proposed.The proposed objective function is simplified by the improved analytical solution mentioned above,and the final optimization goal is obtained.The appropriate analysis model is selected,and the design flow of the optimal mixed arrangement of dampers and buckling restrained braces is formed.Finally,in order to verify the optimization effect of the proposed method,the optimal arrangement of dampers in a frame structure and hybrid arrangement of dampers and buckling restrained braces in a certain over-limit library are optimized.The calculations show that all the arrangements of dampers and buckling restrained braces can be realized by one optimization calculation.Compared with the optimization method in the original structure aiming at reducing the interlayer displacement angle,after the structure is optimized by the energy-based optimization method,the energy input of the seismic wave to the structure is smaller,and the nonlinear energy consumption of the column becomes smaller.The nonlinear energy consumption of the beam increases,making the structure more in line with the principle of strong columns and weak beams.In the distribution of energy consumption,the proportion of energy consumption of beams,dampers and buckling restrained braces is significantly increased,which reduces the damage of the structural body.The concept of multi-channel fortification is highlighted,and the inter-layer displacement angle and the base shear force are also reduced accordingly.This provides powerful theoretical support and practical guidance for the optimal design of the hybrid arrangement of dampers and buckling restrained braces.