This is a continued work in studying the wave propagation in a magneto-electroelastic square column (MEESC). Based on the analytic dispersive equation, group velocity equation and steady-state response obtained in o...This is a continued work in studying the wave propagation in a magneto-electroelastic square column (MEESC). Based on the analytic dispersive equation, group velocity equation and steady-state response obtained in our previous paper 'Steady-state response of the wave propagation in a magneto-electro-elastic square column' published in CME, the dynamical behavior of MEESC was studied in this paper. The unlimited column is an open system. The transientstate response in the open system subjected by arbitrary external fields was derived when the propagating wave pursuing method was introduced.展开更多
The transient state of a dynamic system,such as offshore structures,to random excitation is always nonstationary.Many studies have contributed to evaluating response covariances at the transient state of a linear mult...The transient state of a dynamic system,such as offshore structures,to random excitation is always nonstationary.Many studies have contributed to evaluating response covariances at the transient state of a linear multi-degree-of-freedom(MDOF)system to random excitations,but a closed-form solution was not available unless the excitation was assumed to be a physically unrealizable white noise process.This study derives explicit,closed-form solutions for the response covariances at the transient state by using a pole-residue(PR)approach operated in the Laplace domain when the excitations are assumed to be stationary random processes described by physically realizable spectral density functions.By using the PR method,we can analytically solve the triple integral in evaluating the nonstationary response covariance.As this approach uses the poles and residues of system transfer functions,rather than the conventional mode superposition technique,the method is applicable to MDOF systems with non-classical damping models.Particular application of the proposed method is demonstrated for multi-story shear buildings to stochastic ground acceleration characterized by the Kanai–Tajimi spectral density function model,and a numerical example is provided to illustrate the detailed steps.No numerical integrations are required for computing the response covariances as the exact closed-form solution has been derived.The correctness of the proposed method is numerically verified by Monte Carlo simulations.展开更多
建立了同步发电机和无穷大容量母线组成的动态模拟系统,考察统一潮流控制器(unified power flow controller,UPFC)在此系统下的稳态和暂态特性。以调节某条线路的有功潮流为例考察了UPFC装置在动模系统中的稳态运行情况,包括潮流和功角...建立了同步发电机和无穷大容量母线组成的动态模拟系统,考察统一潮流控制器(unified power flow controller,UPFC)在此系统下的稳态和暂态特性。以调节某条线路的有功潮流为例考察了UPFC装置在动模系统中的稳态运行情况,包括潮流和功角的变化情况,仿真和实验结果表明,UPFC能快速平稳地改变系统线路间的潮流分布。在暂态实验中分析了UPFC能改善系统同步稳定性的原因,并通过仿真证实了UPFC装置对功角和潮流的振荡具有抑制作用。展开更多
基金supported by the National Natural Science Foundation of China(No.10572001).
文摘This is a continued work in studying the wave propagation in a magneto-electroelastic square column (MEESC). Based on the analytic dispersive equation, group velocity equation and steady-state response obtained in our previous paper 'Steady-state response of the wave propagation in a magneto-electro-elastic square column' published in CME, the dynamical behavior of MEESC was studied in this paper. The unlimited column is an open system. The transientstate response in the open system subjected by arbitrary external fields was derived when the propagating wave pursuing method was introduced.
基金the National Natural Science Foundation of China(No.51879250)The first author was supported by the China Scholarship Council while conducting her research in the United States.
文摘The transient state of a dynamic system,such as offshore structures,to random excitation is always nonstationary.Many studies have contributed to evaluating response covariances at the transient state of a linear multi-degree-of-freedom(MDOF)system to random excitations,but a closed-form solution was not available unless the excitation was assumed to be a physically unrealizable white noise process.This study derives explicit,closed-form solutions for the response covariances at the transient state by using a pole-residue(PR)approach operated in the Laplace domain when the excitations are assumed to be stationary random processes described by physically realizable spectral density functions.By using the PR method,we can analytically solve the triple integral in evaluating the nonstationary response covariance.As this approach uses the poles and residues of system transfer functions,rather than the conventional mode superposition technique,the method is applicable to MDOF systems with non-classical damping models.Particular application of the proposed method is demonstrated for multi-story shear buildings to stochastic ground acceleration characterized by the Kanai–Tajimi spectral density function model,and a numerical example is provided to illustrate the detailed steps.No numerical integrations are required for computing the response covariances as the exact closed-form solution has been derived.The correctness of the proposed method is numerically verified by Monte Carlo simulations.
文摘建立了同步发电机和无穷大容量母线组成的动态模拟系统,考察统一潮流控制器(unified power flow controller,UPFC)在此系统下的稳态和暂态特性。以调节某条线路的有功潮流为例考察了UPFC装置在动模系统中的稳态运行情况,包括潮流和功角的变化情况,仿真和实验结果表明,UPFC能快速平稳地改变系统线路间的潮流分布。在暂态实验中分析了UPFC能改善系统同步稳定性的原因,并通过仿真证实了UPFC装置对功角和潮流的振荡具有抑制作用。