The paper discusses the role and influence of the geometric equation of deformation of elastic rod mechanics in the modeling of statics, and explains similarities and differences between this deformation equation and nonholonomic constraint in analytical dynamics. It is indicated that only the solutions of the equation satisfying the physical conditions of the rod are meaningful. The conclusions are also valid in the condition of elastic rod dynamics.
薛纭,王鹏,翁德玮.关于弹性细杆力学的内约束[J].动力学与控制学报,2012,10(3):209~212; Xue Yun, Wang Peng, Weng Dewei. On the internal constraint of the thin elastic rod mechanics[J]. Journal of Dynamics and Control,2012,10(3):209-212.