4.The improvement of equivalent linear analysis method for computing the seismic response of model dam according to the model test data. 5.The similarity of soil stress\|strain relationship under the condition of high or low stress,on the basis of model test.
The original system is substituted by the one with equivalent linear restoring force, and the analytic solution of the joint probability density of the steady-state responses of the equivalent system is derived by means of the equivalent nonlinear system method.
The article studies simplified computing method of composite shock-insulation structure's earthquake-resistant behavior,adopts equivalent linear method to transform hysteretic F—D curve into α—D curve,in order to get coefficient α of shock-insulation layer's sub-base shear and displacement D of shock-insulation layer,and validates whether the structural displacement D satisfies the displacement [D] requested by standard structure.
In vibration test,the phenomenon of natural frequency drift and damping ratio increase,as excitation level raises,is analysecl by comparing vibration test data,simulation of equivalent linear model and calculation of nonlinear model with single degree of freedom.
In the second step, a set of equivalent linear equations for these functions is obtained by geometric method in structural reliability analysis and an equivalent linear equation of the failure mode is evaluated step by step.
On the basis of deriving the optimal feedback of the equivalent linear absorbed devices in base by the optimal control theory, finally, the calculating formulas for the optimum design parameters of the hysteresis isolation systems in base, by which the structural responses under large earthquake excitation are controlled in the range of elasticity are obtained.
Based on the analytical expression, the causes of errors produced by using equivalent linear failure mode is analyzed and an improved differential equivalent recursion algorithm with high computational accuracy is proposed, which provides a solid foundation for the practical application of this method.
It is shown that this class of linear time-variant discrete systems can be tran- sformed into the algebraically equivalent linear time-invariant ones without using full information of state transition matrix ф(n, n) by application of an algebraic transformation.
Firstly, an equivalent linear failure mode is introduced to approximate the conditional failure mode; Secondly, a new approximate algorithm for calculating the system reliability of parallel structures is obtained based on the principle of conditional probability and the theoretical expression of conditional failure mode. Thus, a complicated calculation of failure probability of a group of failure modes?
First, nonlinear mathematical model of magnetic suspension system is presented, then it is linearized by means of feedback linearization and an equivalent linear model is obtained. A nonlinear switch function is constructed based on the linear model and a slide mode variable structure suspension controller is presented.
Then the model was linearized exactly by means of feedback lin earization, and an equivalent linear model was developed. Finally the design of a non linear suspension controller was presented using state feedback based on the lin ear model.
A 1-D equivalent linear method has been used to compute complete transfer functions and other spectral responses, such as PSA and PSV for various damping values, with the purpose of classifying zones with similar behaviour.
An equivalent linear indicator equation is calculated with the results.
Behavioral differences both between the alloys and also from equivalent linear viscous models are discussed.
A classification of classes of equivalent linear differential equations with respect to ω-limit sets of their canonical representations is introduced.
Equivalent linear circuit for an electroluminescent capacitor