高斯最小拘束原理在一类刚柔耦合系统分析中的应用

APPLICATION OF THE GAUSS MINIMUM CONSTRAINT THEORY IN A RIGID-FLEXIBLE COUPLED SYSTEM

应用高斯最小拘束原理 ,提出了对一类刚柔耦合系统的有限段建模方法 ,将悬臂梁的大范围运动综合到系统模型中 ,比较完整地反映了系统的动力学特征。仿真结果及误差分析表明该方法具有一定的精度。高斯最小拘束原理具有统一的表达形式 ,并可全面反映系统的惯量效应 ,适合于此类刚柔耦合系统的建模及分析。

Applying the Gauss minimum constraint theory, a finite segment modeling method is presented for a rigid flexible coupled system. The cantilever beam's movement with considerable range is synthesized in the model, and the system's dynamic characteristic is expressed integrally. The simulation results and error analysis are given, which shows that the method has considerable precision. The Gauss minimum constraint theory has its uniform expression, and it can reflect the system's inertia effect. It is suitable for use in the modeling and analysis of a rigid flexible coupled system.