摘要
基于广义Hamilton控制系统的几何结构,给出了适用于点测量,点控制计算与模拟的Euler- Bernoulli梁方程的广义Hamilton典则方程,并且对于一端加剪切力反馈的受控Euler-Bernoulli梁方程在周期初始条件下运用Euler中点公式进行了数值模拟.
Based on the Geometric structure of generalized Hamiltonian control system, the pointwise measure and control Euler-Bernoulli beam was been considered and the generalized Hamilton canonical equation has been obtained in this paper. Moreover, a shear force feedback Euler-Bernoulli beam equation was numerically simulated using the Euler midpoint formula.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第4期100-104,共5页
Mathematics in Practice and Theory