GAUSS PRECISE TIME-INTEGRATION OF COMPLEX DAMPING VIBRATION SYSTEMS
The vibration analysis of complex damping systems is fulfilled mainly in frequency domain.Based on the dual principle of complex damping theory,a new time-history analysis method is proposed for complex damping systems,which combines the Gauss quadrature with the calculation technique of an exponential function matrix in the precise time-integration method.The responses of complex damping MDOF systems are calculated by Newmark-β method and Gauss precise time-integration method respectively,and compared with the frequency-domain solution.It is shown that Gauss precise time-integration method,having higher precision and efficiency than Newmark-β method,can be used to solve the complex damping vibration equation.