Methods Of Decouping In Real Space And Earthquake Action Calculation For The Bending Shear Beam Separates The Model

In this paper, the partial differential equations for the high isolated bending shear beammodel with an equal cross-section and a variable cross-section are established. By using thefirst mode expansion, the partial differential equations of the infinite degrees of freedom ofthe continuous system are converted into multi-degree-of-freedom equations of motion of adiscrete system. By using the real space, the equations are decoupled into a series ofsingle-degree-of-freedom equations of motion. Due to the highly non-classical characteristicsand non-ignorable higher modes of the isolated bending shear beam model with an equalcross-section and a variable cross-section, using the asymmetric and non-classical structuralequations of motion expanded by multiple modes and the real-space decoupling, the structuralseismic response analytical expression is obtained, and the original multi-degree-of-freedomisolated bending shear beam structure is broken down into a series of equivalent single degreeof freedom system.The relative ground displacement of isolation layer and superstructure shear function arewritten in a unified expression. By using the random vibration theory, the analyticalexpressions of random response variance of the structure displacement and shear randomresponse variance are broken down into a linear combination of the displacement and velocityrandom response variances of a series of standard oscillators, so that the problem is resolved;Finally, by using the corresponding relationship between the maximum response and responsespectra of a series of standard oscillators, the analytic method for the maximum response ofthe displacement and shear and their equivalent static earthquake value of isolation bendingshear beam model with an equal cross-section and a variable cross-section based on theacceleration response spectrum of the seismic code, so that the complete analytical solutionfor the real-space decoupling and response spectrum-based earthquake value of isolatedbending shear beam model with an equal cross-section and a variable cross-sectionconsidering higher modes is established. Meanwhile, the proposed method is fully applicableto the random wind-induced response and equivalent static wind load values of building underthe passive control. Finally, the analytical solution of non-classical damping structure underpassive control based on the real-space decoupling method and its equivalent earthquakevaluehas been fully resolved.