非完整系统在随机初始条件下的响应

Response of Nonholonomic Systems With Random Initial Conditions

研究非完整系统在随机初始条件下的响应.首先建立与非完整系统相应的完整系统的随机微分方程;其次研究相应完整系统在随机初始条件下的响应,并施加非完整约束的限制而得到非完整系统解过程的统计特性;最后举例说明方法的应用。

The response of nonholonomic systems with random initial conditions is presented. Random differential equations of the corresponding holonomic systems are first obtained. Then the response of corresponding holonomic systems with random initial conditions are studied and the restrictions of nonholonomic constraints given. Finally, an example is given to illustrate the application of the method.