非线性随机振动系统对非高斯激励的响应

用推广了高效线性化法，计算具有泊松分布的随机脉冲过程（非高斯）激励的非线性系统的随机响应。将传统的Ｉｔｏ随机微分方程中的Ｗｉｅｎｅｒ过程增量，用复合泊松过程增量代替，得到矩方程，再用线性系统的随机微分方程替代非线性系统的随机微分方程，以使两系统的矩方程在四阶矩上具有最小误差，用Ｄｕｆｆｉｎｇ振子作算例，得到均方响应更接近于数字模拟结果。

RESPONSES OF NON LINEAR RANDOM VIBRATION SYSTEMS BY NON GAUSSION PULSE PROCESSES

The method of generalized equivalent linearization can calculate the response statistics ofdynamics systems to Poisson distributed (non Gaussian) pulse process. The procedure to be followed is based on an extension of the traditional method of the Ito stochastic differential equation, in which the increment of the Wiener process associated with the Ito stochastic differential equation has been substituted by the increment of a compound Poisson process. With the new linearization equations the errors of the approximate differential equations for the forth moment are minimal.