The author combines scattering problem analysis method in construction wave theory with considering soil media non-linear character's equivalent linearization method and random vibrated fictitious inspiriting method,develops considering soil media non-linear character's random wave analysis method in open system,and proves its reasonability by Monte-Carlo analogy method.
By using the equivalent linearization method, the mean square sliding displacement response and the mean square sliding velocity response for structures with base sliding isolation under a band limited white noise excitation are obtained. On the basis of probability distribution function of maximum sliding displacement response,the formula of probability significance for calculating additional width of foundation is derived.
The linear calculating formulas of wind-induced response are established by using the vibration model decomposition method, the nonlinear wind-induced response equation in which the load is of non-zero mean value is solved by using Galerkin's method and improved equivalent linearization method.
The stationary random responses of non linear shear type Multi Degrees of Freedom(MDOF) hysteretic systems are analyzed by using the Pseudo Excitation Method (PEM) combined with the Equivalent Linearization Method (ELM).
The paper analyses the viscidity damp bilinear hysteresis metal rubber material model with equivalent linearization method, gets the variety rule of damping and stiffness. And it validates this theory by metal rubber damping board simply - support structure syntony test, provides dependence for the research of metal rubber material.
The experimental results show that:in comparison to the traditional equivalent linearization method,the new way given in this paper can solve non-linearity problem effectively,it can be widely applied in a variety of non-linearity system,and a non-linearity system analysis excited by random vibration signal is proceeded.
Bokker-Planck equation method, equivalent linearization method and perturbation method can be applied only in a quite narrow district of problems and it is lack of efficient numerical methods for practical calculation.
The earthquake ground motions are simulated as the zero-mean gaussian stationary process, tbe nonlinearity and hystereis of reinforced concrete structure subjected to strong earthquake are considered. Based on the real probability distribution of the dynamic response, the probabilistic average equivalent linearization method is proposed for evaluating the stochastic seismic response of these structures.
in which the nonlinearity and hysteresis of the shear mode reinforced concrete framed structure subjected to strong earthquakes have been considered. Based on the real probability density of the dynamic response, the pro-babilistic average equivalent linearization method is proposed in the analysis. Then, taking the foundation as the halfspace, the stationary stochastic seismic responses of the interaction system of structure and foundation have been calculated.
Predictions from this analytical approximation are compared with corresponding digital simulation estimates and with the ones obtained from theconventional equivalent linearization method.
The solutions of the bifurcation equation are validated by the equivalent linearization method and incremental harmonic balance method.
Equivalent linearization method based on energy-to-cTH-power difference criterion in nonlinear stochastic vibration analysis of
Equivalent Linearization Method Based on Energy-to-cth-Power Difference Criterion in Nonlinear Stochastic Vibration Analysis of
The numerical results show that the mean square responses of the proposed approach are much closer to the exact solutions or Monte Carlo solutions, than that obtained from equivalent linearization method.