In order to examine how nonlinear hysteretic restoring force of the devices of base isolation and shock absorption is able to influence the response of root-mean-square displacements for two-degree-of-freedom (2-DOF) primary-secondary systems,hysteretic restoring force of the two devices are expressed by a nonlinear differential equation with several parameters as variables.
为研究隔震、减震装置非线性恢复力特性对2自由度主次结构体系均方根位移反应的影响规律,以隔震、减震装置微分型恢复力模式的滞回参数为变量,地震地面运动模拟成高斯白噪声过程,利用等效线性化方法得到主体结构和二次结构均方根位移反应的表达式。
Consequently, the diffusion types are determined from the mean square displacement.
我们也讨论了由方程所确定的扩散过程的位移变量的偶数阶矩,并且得到了二阶矩(均方位移)关于时间的幂律关系,从而对系统的扩散类型进行判断。
The explicit analytical expressions and asymptotic behaviors for the probability distribution,the mean square displacement,the first passage time distribution and the mean first passage time corresponding to various time dependent diffusion coefficients are also obtained.
研究了一类描述带有外力场的反常扩散过程的分数次非线性扩散方程的解和首次到达时间(FPT)分布,并且外力项与时间、空间变量以及吸收性边界相关,最终得到了扩散过程的概率密度函数、均方位移、首次到达时间、平均首次到达时间的精确表达式和时间变量所决定的不同扩散系数对这些量的影响。
