Abstract
Based on Timoshenko beam theory and considering the layer bending deformation and shear deformation of the structure, a semi analytical solution method (SAM) is proposed for the interlayer isolation structure system. The equivalent mechanical model of cantilever beam is established by using the distributed parameter system, on which the dynamic partial differential equation is derived; the boundary condition and continuity condition are used to solve the equation to obtain the natural vibration characteristics; the orthogonal conditions are deduced by Betti’s law and the seismic response of the structure can be solved by the mode superposition method. A 10 story isolated structure is designed as well as analysed by the semi analytical method (SAM) and the ETABS finite element simulation (FESE) separately. The results show that: the existence of the isolation layer may reduce the response of the superstructure and amplify the response of the substructure, and the amplification can be solved by increasing the mass, bending stiffness of the superstructure and shear stiffness of the isolation layer. In regular interlayer isolation structure, the optimal frequency ratio of the superstructure and substructure increases with the rising of isolation layer position. The results also prove the correctness and accuracy of the SAM, which enriches the analysis theory of interlayer isolation structure and provides reference for the accurate analysis of structural response in engineering.
Highlights
In recent years, researchers continue to improve the theoretical system of interlayer isolation structure on the basis of engineering practice [1,2,3,4,5,6,7,8,9,10,11,12,13,14]
Based on Timoshenko beam theory and considering its shear deformation and bending deformation, the interlayer isolation structure is simplified as a cantilever beam, and the mass, stiffness and damping of each substructure are uniformly distributed along the axis
The deformation of the structure is mainly concentrated in the isolation layer, which conforms to the vibration law of the interlayer isolation structure
Summary
Researchers continue to improve the theoretical system of interlayer isolation structure on the basis of engineering practice [1,2,3,4,5,6,7,8,9,10,11,12,13,14]. Based on the distributed parameter system, Chen Yangyang et al [24, 25] analyzed the single pier particle system of the high pier beam bridge, and obtained the analytical formula with higher accuracy and wider application range for studying the factors affecting the mode mass participation coefficient of the system; based on the vibration theory of distributed parameter beam, Du Yongfeng [26, 27] deduced and verified the semi analytical method of seismic response of the isolation system of series and parallel electrical equipment support, which provided the thinking and reference for the study of parameter model analysis of building structure such as interlayer isolation; Song Xiao et al [28] established the distributed parameter model of the interlayer isolation structure, and used the virtual excitation method to solve the seismic response. If there is special case, it will be explained in the text
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